Update Eigen3 to latest 3.1 alpha2 to have support of sparse matrices

194 files changed, 2908 insertions, 7836 deletions

diff --git a/extern/Eigen3/Eigen/Cholesky b/extern/Eigen3/Eigen/Cholesky
index 53f7bf911a4..f727f5d89c0 100644
--- a/extern/Eigen3/Eigen/Cholesky
+++ b/extern/Eigen3/Eigen/Cholesky
@@ -5,8 +5,6 @@
 
 #include "src/Core/util/DisableStupidWarnings.h"
 
-namespace Eigen {
-
 /** \defgroup Cholesky_Module Cholesky module
   *
   *
@@ -24,8 +22,9 @@ namespace Eigen {
 #include "src/misc/Solve.h"
 #include "src/Cholesky/LLT.h"
 #include "src/Cholesky/LDLT.h"
-
-} // namespace Eigen
+#ifdef EIGEN_USE_LAPACKE
+#include "src/Cholesky/LLT_MKL.h"
+#endif
 
 #include "src/Core/util/ReenableStupidWarnings.h"
 
diff --git a/extern/Eigen3/Eigen/Core b/extern/Eigen3/Eigen/Core
index a5025e37ead..5d803490005 100644
--- a/extern/Eigen3/Eigen/Core
+++ b/extern/Eigen3/Eigen/Core
@@ -34,6 +34,12 @@
 // defined e.g. EIGEN_DONT_ALIGN) so it needs to be done before we do anything with vectorization.
 #include "src/Core/util/Macros.h"
 
+#include <complex>
+
+// this include file manages BLAS and MKL related macros
+// and inclusion of their respective header files
+#include "src/Core/util/MKL_support.h"
+
 // if alignment is disabled, then disable vectorization. Note: EIGEN_ALIGN is the proper check, it takes into
 // account both the user's will (EIGEN_DONT_ALIGN) and our own platform checks
 #if !EIGEN_ALIGN
@@ -146,7 +152,6 @@
 #include <cstddef>
 #include <cstdlib>
 #include <cmath>
-#include <complex>
 #include <cassert>
 #include <functional>
 #include <iosfwd>
@@ -175,9 +180,6 @@
   #include <new>
 #endif
 
-// defined in bits/termios.h
-#undef B0
-
 /** \brief Namespace containing all symbols from the %Eigen library. */
 namespace Eigen {
 
@@ -201,6 +203,8 @@ inline static const char *SimdInstructionSetsInUse(void) {
 #endif
 }
 
+} // end namespace Eigen
+
 #define STAGE10_FULL_EIGEN2_API             10
 #define STAGE20_RESOLVE_API_CONFLICTS       20
 #define STAGE30_FULL_EIGEN3_API             30
@@ -247,6 +251,10 @@ using std::ptrdiff_t;
   * \endcode
   */
 
+/** \defgroup Support_modules Support modules [category]
+  * Category of modules which add support for external libraries.
+  */
+
 #include "src/Core/util/Constants.h"
 #include "src/Core/util/ForwardDeclarations.h"
 #include "src/Core/util/Meta.h"
@@ -318,7 +326,7 @@ using std::ptrdiff_t;
 #include "src/Core/CommaInitializer.h"
 #include "src/Core/Flagged.h"
 #include "src/Core/ProductBase.h"
-#include "src/Core/Product.h"
+#include "src/Core/GeneralProduct.h"
 #include "src/Core/TriangularMatrix.h"
 #include "src/Core/SelfAdjointView.h"
 #include "src/Core/SolveTriangular.h"
@@ -347,7 +355,20 @@ using std::ptrdiff_t;
 #include "src/Core/ArrayBase.h"
 #include "src/Core/ArrayWrapper.h"
 
-} // namespace Eigen
+#ifdef EIGEN_USE_BLAS
+#include "src/Core/products/GeneralMatrixMatrix_MKL.h"
+#include "src/Core/products/GeneralMatrixVector_MKL.h"
+#include "src/Core/products/GeneralMatrixMatrixTriangular_MKL.h"
+#include "src/Core/products/SelfadjointMatrixMatrix_MKL.h"
+#include "src/Core/products/SelfadjointMatrixVector_MKL.h"
+#include "src/Core/products/TriangularMatrixMatrix_MKL.h"
+#include "src/Core/products/TriangularMatrixVector_MKL.h"
+#include "src/Core/products/TriangularSolverMatrix_MKL.h"
+#endif // EIGEN_USE_BLAS
+
+#ifdef EIGEN_USE_MKL_VML
+#include "src/Core/Assign_MKL.h"
+#endif
 
 #include "src/Core/GlobalFunctions.h"
 
diff --git a/extern/Eigen3/Eigen/Eigen2Support b/extern/Eigen3/Eigen/Eigen2Support
index d96592a8de9..c2aa2f6185e 100644
--- a/extern/Eigen3/Eigen/Eigen2Support
+++ b/extern/Eigen3/Eigen/Eigen2Support
@@ -31,9 +31,8 @@
 
 #include "src/Core/util/DisableStupidWarnings.h"
 
-namespace Eigen {
-
-/** \defgroup Eigen2Support_Module Eigen2 support module
+/** \ingroup Support_modules
+  * \defgroup Eigen2Support_Module Eigen2 support module
   * This module provides a couple of deprecated functions improving the compatibility with Eigen2.
   *
   * To use it, define EIGEN2_SUPPORT before including any Eigen header
@@ -56,13 +55,29 @@ namespace Eigen {
 #include "src/Eigen2Support/MathFunctions.h"
 
 
-} // namespace Eigen
-
 #include "src/Core/util/ReenableStupidWarnings.h"
 
 // Eigen2 used to include iostream
 #include<iostream>
 
+#define EIGEN_USING_MATRIX_TYPEDEFS_FOR_TYPE_AND_SIZE(TypeSuffix, SizeSuffix) \
+using Eigen::Matrix##SizeSuffix##TypeSuffix; \
+using Eigen::Vector##SizeSuffix##TypeSuffix; \
+using Eigen::RowVector##SizeSuffix##TypeSuffix;
+
+#define EIGEN_USING_MATRIX_TYPEDEFS_FOR_TYPE(TypeSuffix) \
+EIGEN_USING_MATRIX_TYPEDEFS_FOR_TYPE_AND_SIZE(TypeSuffix, 2) \
+EIGEN_USING_MATRIX_TYPEDEFS_FOR_TYPE_AND_SIZE(TypeSuffix, 3) \
+EIGEN_USING_MATRIX_TYPEDEFS_FOR_TYPE_AND_SIZE(TypeSuffix, 4) \
+EIGEN_USING_MATRIX_TYPEDEFS_FOR_TYPE_AND_SIZE(TypeSuffix, X) \
+
+#define EIGEN_USING_MATRIX_TYPEDEFS \
+EIGEN_USING_MATRIX_TYPEDEFS_FOR_TYPE(i) \
+EIGEN_USING_MATRIX_TYPEDEFS_FOR_TYPE(f) \
+EIGEN_USING_MATRIX_TYPEDEFS_FOR_TYPE(d) \
+EIGEN_USING_MATRIX_TYPEDEFS_FOR_TYPE(cf) \
+EIGEN_USING_MATRIX_TYPEDEFS_FOR_TYPE(cd)
+
 #define USING_PART_OF_NAMESPACE_EIGEN \
 EIGEN_USING_MATRIX_TYPEDEFS \
 using Eigen::Matrix; \
diff --git a/extern/Eigen3/Eigen/Eigenvalues b/extern/Eigen3/Eigen/Eigenvalues
index 250c0f46652..af99ccd1fab 100644
--- a/extern/Eigen3/Eigen/Eigenvalues
+++ b/extern/Eigen3/Eigen/Eigenvalues
@@ -9,8 +9,7 @@
 #include "Jacobi"
 #include "Householder"
 #include "LU"
-
-namespace Eigen {
+#include "Geometry"
 
 /** \defgroup Eigenvalues_Module Eigenvalues module
   *
@@ -35,8 +34,11 @@ namespace Eigen {
 #include "src/Eigenvalues/ComplexSchur.h"
 #include "src/Eigenvalues/ComplexEigenSolver.h"
 #include "src/Eigenvalues/MatrixBaseEigenvalues.h"
-
-} // namespace Eigen
+#ifdef EIGEN_USE_LAPACKE
+#include "src/Eigenvalues/RealSchur_MKL.h"
+#include "src/Eigenvalues/ComplexSchur_MKL.h"
+#include "src/Eigenvalues/SelfAdjointEigenSolver_MKL.h"
+#endif
 
 #include "src/Core/util/ReenableStupidWarnings.h"
 
diff --git a/extern/Eigen3/Eigen/Geometry b/extern/Eigen3/Eigen/Geometry
index 78277c0c560..efd9d4504cb 100644
--- a/extern/Eigen3/Eigen/Geometry
+++ b/extern/Eigen3/Eigen/Geometry
@@ -13,8 +13,6 @@
 #define M_PI 3.14159265358979323846
 #endif
 
-namespace Eigen {
-
 /** \defgroup Geometry_Module Geometry module
   *
   *
@@ -58,8 +56,6 @@ namespace Eigen {
 #include "src/Eigen2Support/Geometry/All.h"
 #endif
 
-} // namespace Eigen
-
 #include "src/Core/util/ReenableStupidWarnings.h"
 
 #endif // EIGEN_GEOMETRY_MODULE_H
diff --git a/extern/Eigen3/Eigen/Householder b/extern/Eigen3/Eigen/Householder
index 6b86cf65c55..6e348db5c43 100644
--- a/extern/Eigen3/Eigen/Householder
+++ b/extern/Eigen3/Eigen/Householder
@@ -5,8 +5,6 @@
 
 #include "src/Core/util/DisableStupidWarnings.h"
 
-namespace Eigen {
-
 /** \defgroup Householder_Module Householder module
   * This module provides Householder transformations.
   *
@@ -19,8 +17,6 @@ namespace Eigen {
 #include "src/Householder/HouseholderSequence.h"
 #include "src/Householder/BlockHouseholder.h"
 
-} // namespace Eigen
-
 #include "src/Core/util/ReenableStupidWarnings.h"
 
 #endif // EIGEN_HOUSEHOLDER_MODULE_H
diff --git a/extern/Eigen3/Eigen/Jacobi b/extern/Eigen3/Eigen/Jacobi
index afa67681379..ba8a4dc36a5 100644
--- a/extern/Eigen3/Eigen/Jacobi
+++ b/extern/Eigen3/Eigen/Jacobi
@@ -5,8 +5,6 @@
 
 #include "src/Core/util/DisableStupidWarnings.h"
 
-namespace Eigen {
-
 /** \defgroup Jacobi_Module Jacobi module
   * This module provides Jacobi and Givens rotations.
   *
@@ -21,8 +19,6 @@ namespace Eigen {
 
 #include "src/Jacobi/Jacobi.h"
 
-} // namespace Eigen
-
 #include "src/Core/util/ReenableStupidWarnings.h"
 
 #endif // EIGEN_JACOBI_MODULE_H
diff --git a/extern/Eigen3/Eigen/LU b/extern/Eigen3/Eigen/LU
index 226f88ca38a..db579550448 100644
--- a/extern/Eigen3/Eigen/LU
+++ b/extern/Eigen3/Eigen/LU
@@ -5,8 +5,6 @@
 
 #include "src/Core/util/DisableStupidWarnings.h"
 
-namespace Eigen {
-
 /** \defgroup LU_Module LU module
   * This module includes %LU decomposition and related notions such as matrix inversion and determinant.
   * This module defines the following MatrixBase methods:
@@ -23,6 +21,9 @@ namespace Eigen {
 #include "src/misc/Image.h"
 #include "src/LU/FullPivLU.h"
 #include "src/LU/PartialPivLU.h"
+#ifdef EIGEN_USE_LAPACKE
+#include "src/LU/PartialPivLU_MKL.h"
+#endif
 #include "src/LU/Determinant.h"
 #include "src/LU/Inverse.h"
 
@@ -34,8 +35,6 @@ namespace Eigen {
   #include "src/Eigen2Support/LU.h"
 #endif
 
-} // namespace Eigen
-
 #include "src/Core/util/ReenableStupidWarnings.h"
 
 #endif // EIGEN_LU_MODULE_H
diff --git a/extern/Eigen3/Eigen/LeastSquares b/extern/Eigen3/Eigen/LeastSquares
index 93a6302dcd9..35137c25db0 100644
--- a/extern/Eigen3/Eigen/LeastSquares
+++ b/extern/Eigen3/Eigen/LeastSquares
@@ -15,8 +15,6 @@
 #include "Eigenvalues"
 #include "Geometry"
 
-namespace Eigen {
-
 /** \defgroup LeastSquares_Module LeastSquares module
   * This module provides linear regression and related features.
   *
@@ -27,8 +25,6 @@ namespace Eigen {
 
 #include "src/Eigen2Support/LeastSquares.h"
 
-} // namespace Eigen
-
 #include "src/Core/util/ReenableStupidWarnings.h"
 
 #endif // EIGEN2_SUPPORT
diff --git a/extern/Eigen3/Eigen/QR b/extern/Eigen3/Eigen/QR
index 97c1788ee30..ac5b0269354 100644
--- a/extern/Eigen3/Eigen/QR
+++ b/extern/Eigen3/Eigen/QR
@@ -9,8 +9,6 @@
 #include "Jacobi"
 #include "Householder"
 
-namespace Eigen {
-
 /** \defgroup QR_Module QR module
   *
   *
@@ -28,13 +26,15 @@ namespace Eigen {
 #include "src/QR/HouseholderQR.h"
 #include "src/QR/FullPivHouseholderQR.h"
 #include "src/QR/ColPivHouseholderQR.h"
+#ifdef EIGEN_USE_LAPACKE
+#include "src/QR/HouseholderQR_MKL.h"
+#include "src/QR/ColPivHouseholderQR_MKL.h"
+#endif
 
 #ifdef EIGEN2_SUPPORT
 #include "src/Eigen2Support/QR.h"
 #endif
 
-} // namespace Eigen
-
 #include "src/Core/util/ReenableStupidWarnings.h"
 
 #ifdef EIGEN2_SUPPORT
diff --git a/extern/Eigen3/Eigen/SVD b/extern/Eigen3/Eigen/SVD
index 7c987a9dd36..fd310017ad1 100644
--- a/extern/Eigen3/Eigen/SVD
+++ b/extern/Eigen3/Eigen/SVD
@@ -7,8 +7,6 @@
 
 #include "src/Core/util/DisableStupidWarnings.h"
 
-namespace Eigen {
-
 /** \defgroup SVD_Module SVD module
   *
   *
@@ -24,14 +22,15 @@ namespace Eigen {
 
 #include "src/misc/Solve.h"
 #include "src/SVD/JacobiSVD.h"
+#if defined(EIGEN_USE_LAPACKE) && !defined(EIGEN_USE_LAPACKE_STRICT)
+#include "src/SVD/JacobiSVD_MKL.h"
+#endif
 #include "src/SVD/UpperBidiagonalization.h"
 
 #ifdef EIGEN2_SUPPORT
 #include "src/Eigen2Support/SVD.h"
 #endif
 
-} // namespace Eigen
-
 #include "src/Core/util/ReenableStupidWarnings.h"
 
 #endif // EIGEN_SVD_MODULE_H
diff --git a/extern/Eigen3/Eigen/Sparse b/extern/Eigen3/Eigen/Sparse
index 7425b3a412a..2d1757172eb 100644
--- a/extern/Eigen3/Eigen/Sparse
+++ b/extern/Eigen3/Eigen/Sparse
@@ -1,69 +1,23 @@
 #ifndef EIGEN_SPARSE_MODULE_H
 #define EIGEN_SPARSE_MODULE_H
 
-#include "Core"
-
-#include "src/Core/util/DisableStupidWarnings.h"
-
-#include <vector>
-#include <map>
-#include <cstdlib>
-#include <cstring>
-#include <algorithm>
-
-#ifdef EIGEN2_SUPPORT
-#define EIGEN_YES_I_KNOW_SPARSE_MODULE_IS_NOT_STABLE_YET
-#endif
-
-#ifndef EIGEN_YES_I_KNOW_SPARSE_MODULE_IS_NOT_STABLE_YET
-#error The sparse module API is not stable yet. To use it anyway, please define the EIGEN_YES_I_KNOW_SPARSE_MODULE_IS_NOT_STABLE_YET preprocessor token.
-#endif
-
-namespace Eigen {
-
-/** \defgroup Sparse_Module Sparse module
+/** \defgroup Sparse_modules Sparse modules
   *
-  *
-  *
-  * See the \ref TutorialSparse "Sparse tutorial"
+  * Meta-module including all related modules:
+  * - SparseCore
+  * - OrderingMethods
+  * - SparseCholesky
+  * - IterativeLinearSolvers
   *
   * \code
   * #include <Eigen/Sparse>
   * \endcode
   */
 
-/** The type used to identify a general sparse storage. */
-struct Sparse {};
-
-#include "src/Sparse/SparseUtil.h"
-#include "src/Sparse/SparseMatrixBase.h"
-#include "src/Sparse/CompressedStorage.h"
-#include "src/Sparse/AmbiVector.h"
-#include "src/Sparse/SparseMatrix.h"
-#include "src/Sparse/DynamicSparseMatrix.h"
-#include "src/Sparse/MappedSparseMatrix.h"
-#include "src/Sparse/SparseVector.h"
-#include "src/Sparse/CoreIterators.h"
-#include "src/Sparse/SparseBlock.h"
-#include "src/Sparse/SparseTranspose.h"
-#include "src/Sparse/SparseCwiseUnaryOp.h"
-#include "src/Sparse/SparseCwiseBinaryOp.h"
-#include "src/Sparse/SparseDot.h"
-#include "src/Sparse/SparseAssign.h"
-#include "src/Sparse/SparseRedux.h"
-#include "src/Sparse/SparseFuzzy.h"
-#include "src/Sparse/SparseProduct.h"
-#include "src/Sparse/SparseSparseProduct.h"
-#include "src/Sparse/SparseDenseProduct.h"
-#include "src/Sparse/SparseDiagonalProduct.h"
-#include "src/Sparse/SparseTriangularView.h"
-#include "src/Sparse/SparseSelfAdjointView.h"
-#include "src/Sparse/TriangularSolver.h"
-#include "src/Sparse/SparseView.h"
-
-} // namespace Eigen
-
-#include "src/Core/util/ReenableStupidWarnings.h"
+#include "SparseCore"
+#include "OrderingMethods"
+#include "SparseCholesky"
+#include "IterativeLinearSolvers"
 
 #endif // EIGEN_SPARSE_MODULE_H
 
diff --git a/extern/Eigen3/Eigen/src/Cholesky/LDLT.h b/extern/Eigen3/Eigen/src/Cholesky/LDLT.h
index a19e947a4c6..238a2454a89 100644
--- a/extern/Eigen3/Eigen/src/Cholesky/LDLT.h
+++ b/extern/Eigen3/Eigen/src/Cholesky/LDLT.h
@@ -1,9 +1,10 @@
 // This file is part of Eigen, a lightweight C++ template library
 // for linear algebra.
 //
-// Copyright (C) 2008-2010 Gael Guennebaud <gael.guennebaud@inria.fr>
+// Copyright (C) 2008-2011 Gael Guennebaud <gael.guennebaud@inria.fr>
 // Copyright (C) 2009 Keir Mierle <mierle@gmail.com>
 // Copyright (C) 2009 Benoit Jacob <jacob.benoit.1@gmail.com>
+// Copyright (C) 2011 Timothy E. Holy <tim.holy@gmail.com >
 //
 // Eigen is free software; you can redistribute it and/or
 // modify it under the terms of the GNU Lesser General Public
@@ -27,17 +28,21 @@
 #ifndef EIGEN_LDLT_H
 #define EIGEN_LDLT_H
 
+namespace Eigen { 
+
 namespace internal {
 template<typename MatrixType, int UpLo> struct LDLT_Traits;
 }
 
-/** \ingroup cholesky_Module
+/** \ingroup Cholesky_Module
   *
   * \class LDLT
   *
   * \brief Robust Cholesky decomposition of a matrix with pivoting
   *
   * \param MatrixType the type of the matrix of which to compute the LDL^T Cholesky decomposition
+  * \param UpLo the triangular part that will be used for the decompositon: Lower (default) or Upper.
+  *             The other triangular part won't be read.
   *
   * Perform a robust Cholesky decomposition of a positive semidefinite or negative semidefinite
   * matrix \f$ A \f$ such that \f$ A =  P^TLDL^*P \f$, where P is a permutation matrix, L
@@ -48,14 +53,10 @@ template<typename MatrixType, int UpLo> struct LDLT_Traits;
   * on D also stabilizes the computation.
   *
   * Remember that Cholesky decompositions are not rank-revealing. Also, do not use a Cholesky
-	* decomposition to determine whether a system of equations has a solution.
+  * decomposition to determine whether a system of equations has a solution.
   *
   * \sa MatrixBase::ldlt(), class LLT
   */
- /* THIS PART OF THE DOX IS CURRENTLY DISABLED BECAUSE INACCURATE BECAUSE OF BUG IN THE DECOMPOSITION CODE
-  * Note that during the decomposition, only the upper triangular part of A is considered. Therefore,
-  * the strict lower part does not have to store correct values.
-  */
 template<typename _MatrixType, int _UpLo> class LDLT
 {
   public:
@@ -98,6 +99,11 @@ template<typename _MatrixType, int _UpLo> class LDLT
         m_isInitialized(false)
     {}
 
+    /** \brief Constructor with decomposition
+      *
+      * This calculates the decomposition for the input \a matrix.
+      * \sa LDLT(Index size)
+      */
     LDLT(const MatrixType& matrix)
       : m_matrix(matrix.rows(), matrix.cols()),
         m_transpositions(matrix.rows()),
@@ -107,6 +113,14 @@ template<typename _MatrixType, int _UpLo> class LDLT
       compute(matrix);
     }
 
+    /** Clear any existing decomposition
+     * \sa rankUpdate(w,sigma)
+     */
+    void setZero()
+    {
+      m_isInitialized = false;
+    }
+
     /** \returns a view of the upper triangular matrix U */
     inline typename Traits::MatrixU matrixU() const
     {
@@ -130,14 +144,14 @@ template<typename _MatrixType, int _UpLo> class LDLT
     }
 
     /** \returns the coefficients of the diagonal matrix D */
-    inline Diagonal<const MatrixType> vectorD(void) const
+    inline Diagonal<const MatrixType> vectorD() const
     {
       eigen_assert(m_isInitialized && "LDLT is not initialized.");
       return m_matrix.diagonal();
     }
 
     /** \returns true if the matrix is positive (semidefinite) */
-    inline bool isPositive(void) const
+    inline bool isPositive() const
     {
       eigen_assert(m_isInitialized && "LDLT is not initialized.");
       return m_sign == 1;
@@ -196,6 +210,9 @@ template<typename _MatrixType, int _UpLo> class LDLT
 
     LDLT& compute(const MatrixType& matrix);
 
+    template <typename Derived>
+    LDLT& rankUpdate(const MatrixBase<Derived>& w,RealScalar alpha=1);
+
     /** \returns the internal LDLT decomposition matrix
       *
       * TODO: document the storage layout
@@ -211,6 +228,17 @@ template<typename _MatrixType, int _UpLo> class LDLT
     inline Index rows() const { return m_matrix.rows(); }
     inline Index cols() const { return m_matrix.cols(); }
 
+    /** \brief Reports whether previous computation was successful.
+      *
+      * \returns \c Success if computation was succesful,
+      *          \c NumericalIssue if the matrix.appears to be negative.
+      */
+    ComputationInfo info() const
+    {
+      eigen_assert(m_isInitialized && "LDLT is not initialized.");
+      return Success;
+    }
+
   protected:
 
     /** \internal
@@ -249,7 +277,7 @@ template<> struct ldlt_inplace<Lower>
       return true;
     }
 
-    RealScalar cutoff = 0, biggest_in_corner;
+    RealScalar cutoff(0), biggest_in_corner;
 
     for (Index k = 0; k < size; ++k)
     {
@@ -317,6 +345,61 @@ template<> struct ldlt_inplace<Lower>
 
     return true;
   }
+
+  // Reference for the algorithm: Davis and Hager, "Multiple Rank
+  // Modifications of a Sparse Cholesky Factorization" (Algorithm 1)
+  // Trivial rearrangements of their computations (Timothy E. Holy)
+  // allow their algorithm to work for rank-1 updates even if the
+  // original matrix is not of full rank.
+  // Here only rank-1 updates are implemented, to reduce the
+  // requirement for intermediate storage and improve accuracy
+  template<typename MatrixType, typename WDerived>
+  static bool updateInPlace(MatrixType& mat, MatrixBase<WDerived>& w, typename MatrixType::RealScalar sigma=1)
+  {
+    using internal::isfinite;
+    typedef typename MatrixType::Scalar Scalar;
+    typedef typename MatrixType::RealScalar RealScalar;
+    typedef typename MatrixType::Index Index;
+
+    const Index size = mat.rows();
+    eigen_assert(mat.cols() == size && w.size()==size);
+
+    RealScalar alpha = 1;
+
+    // Apply the update
+    for (Index j = 0; j < size; j++)
+    {
+      // Check for termination due to an original decomposition of low-rank
+      if (!isfinite(alpha))
+        break;
+
+      // Update the diagonal terms
+      RealScalar dj = real(mat.coeff(j,j));
+      Scalar wj = w.coeff(j);
+      RealScalar swj2 = sigma*abs2(wj);
+      RealScalar gamma = dj*alpha + swj2;
+
+      mat.coeffRef(j,j) += swj2/alpha;
+      alpha += swj2/dj;
+
+
+      // Update the terms of L
+      Index rs = size-j-1;
+      w.tail(rs) -= wj * mat.col(j).tail(rs);
+      if(gamma != 0)
+        mat.col(j).tail(rs) += (sigma*conj(wj)/gamma)*w.tail(rs);
+    }
+    return true;
+  }
+
+  template<typename MatrixType, typename TranspositionType, typename Workspace, typename WType>
+  static bool update(MatrixType& mat, const TranspositionType& transpositions, Workspace& tmp, const WType& w, typename MatrixType::RealScalar sigma=1)
+  {
+    // Apply the permutation to the input w
+    tmp = transpositions * w;
+
+    return ldlt_inplace<Lower>::updateInPlace(mat,tmp,sigma);
+  }
 };
 
 template<> struct ldlt_inplace<Upper>
@@ -327,22 +410,29 @@ template<> struct ldlt_inplace<Upper>
     Transpose<MatrixType> matt(mat);
     return ldlt_inplace<Lower>::unblocked(matt, transpositions, temp, sign);
   }
+
+  template<typename MatrixType, typename TranspositionType, typename Workspace, typename WType>
+  static EIGEN_STRONG_INLINE bool update(MatrixType& mat, TranspositionType& transpositions, Workspace& tmp, WType& w, typename MatrixType::RealScalar sigma=1)
+  {
+    Transpose<MatrixType> matt(mat);
+    return ldlt_inplace<Lower>::update(matt, transpositions, tmp, w.conjugate(), sigma);
+  }
 };
 
 template<typename MatrixType> struct LDLT_Traits<MatrixType,Lower>
 {
   typedef const TriangularView<const MatrixType, UnitLower> MatrixL;
   typedef const TriangularView<const typename MatrixType::AdjointReturnType, UnitUpper> MatrixU;
-  inline static MatrixL getL(const MatrixType& m) { return m; }
-  inline static MatrixU getU(const MatrixType& m) { return m.adjoint(); }
+  static inline MatrixL getL(const MatrixType& m) { return m; }
+  static inline MatrixU getU(const MatrixType& m) { return m.adjoint(); }
 };
 
 template<typename MatrixType> struct LDLT_Traits<MatrixType,Upper>
 {
   typedef const TriangularView<const typename MatrixType::AdjointReturnType, UnitLower> MatrixL;
   typedef const TriangularView<const MatrixType, UnitUpper> MatrixU;
-  inline static MatrixL getL(const MatrixType& m) { return m.adjoint(); }
-  inline static MatrixU getU(const MatrixType& m) { return m; }
+  static inline MatrixL getL(const MatrixType& m) { return m.adjoint(); }
+  static inline MatrixU getU(const MatrixType& m) { return m; }
 };
 
 } // end namespace internal
@@ -367,6 +457,37 @@ LDLT<MatrixType,_UpLo>& LDLT<MatrixType,_UpLo>::compute(const MatrixType& a)
   return *this;
 }
 
+/** Update the LDLT decomposition:  given A = L D L^T, efficiently compute the decomposition of A + sigma w w^T.
+ * \param w a vector to be incorporated into the decomposition.
+ * \param sigma a scalar, +1 for updates and -1 for "downdates," which correspond to removing previously-added column vectors. Optional; default value is +1.
+ * \sa setZero()
+  */
+template<typename MatrixType, int _UpLo>
+template<typename Derived>
+LDLT<MatrixType,_UpLo>& LDLT<MatrixType,_UpLo>::rankUpdate(const MatrixBase<Derived>& w,typename NumTraits<typename MatrixType::Scalar>::Real sigma)
+{
+  const Index size = w.rows();
+  if (m_isInitialized)
+  {
+    eigen_assert(m_matrix.rows()==size);
+  }
+  else
+  {    
+    m_matrix.resize(size,size);
+    m_matrix.setZero();
+    m_transpositions.resize(size);
+    for (Index i = 0; i < size; i++)
+      m_transpositions.coeffRef(i) = i;
+    m_temporary.resize(size);
+    m_sign = sigma;
+    m_isInitialized = true;
+  }
+
+  internal::ldlt_inplace<UpLo>::update(m_matrix, m_transpositions, m_temporary, w, sigma);
+
+  return *this;
+}
+
 namespace internal {
 template<typename _MatrixType, int _UpLo, typename Rhs>
 struct solve_retval<LDLT<_MatrixType,_UpLo>, Rhs>
@@ -481,4 +602,6 @@ MatrixBase<Derived>::ldlt() const
   return LDLT<PlainObject>(derived());
 }
 
+} // end namespace Eigen
+
 #endif // EIGEN_LDLT_H
diff --git a/extern/Eigen3/Eigen/src/Cholesky/LLT.h b/extern/Eigen3/Eigen/src/Cholesky/LLT.h
index 3bb76b5787f..17c6d6b8d48 100644
--- a/extern/Eigen3/Eigen/src/Cholesky/LLT.h
+++ b/extern/Eigen3/Eigen/src/Cholesky/LLT.h
@@ -25,17 +25,21 @@
 #ifndef EIGEN_LLT_H
 #define EIGEN_LLT_H
 
+namespace Eigen { 
+
 namespace internal{
 template<typename MatrixType, int UpLo> struct LLT_Traits;
 }
 
-/** \ingroup cholesky_Module
+/** \ingroup Cholesky_Module
   *
   * \class LLT
   *
   * \brief Standard Cholesky decomposition (LL^T) of a matrix and associated features
   *
   * \param MatrixType the type of the matrix of which we are computing the LL^T Cholesky decomposition
+  * \param UpLo the triangular part that will be used for the decompositon: Lower (default) or Upper.
+  *             The other triangular part won't be read.
   *
   * This class performs a LL^T Cholesky decomposition of a symmetric, positive definite
   * matrix A such that A = LL^* = U^*U, where L is lower triangular.
@@ -49,6 +53,9 @@ template<typename MatrixType, int UpLo> struct LLT_Traits;
   * use LDLT instead for the semidefinite case. Also, do not use a Cholesky decomposition to determine whether a system of equations
   * has a solution.
   *
+  * Example: \include LLT_example.cpp
+  * Output: \verbinclude LLT_example.out
+  *    
   * \sa MatrixBase::llt(), class LDLT
   */
  /* HEY THIS DOX IS DISABLED BECAUSE THERE's A BUG EITHER HERE OR IN LDLT ABOUT THAT (OR BOTH)
@@ -178,6 +185,9 @@ template<typename _MatrixType, int _UpLo> class LLT
     inline Index rows() const { return m_matrix.rows(); }
     inline Index cols() const { return m_matrix.cols(); }
 
+    template<typename VectorType>
+    LLT rankUpdate(const VectorType& vec, const RealScalar& sigma = 1);
+
   protected:
     /** \internal
       * Used to compute and store L
@@ -190,16 +200,85 @@ template<typename _MatrixType, int _UpLo> class LLT
 
 namespace internal {
 
-template<int UpLo> struct llt_inplace;
+template<typename Scalar, int UpLo> struct llt_inplace;
+
+template<typename MatrixType, typename VectorType>
+static typename MatrixType::Index llt_rank_update_lower(MatrixType& mat, const VectorType& vec, const typename MatrixType::RealScalar& sigma)
+{
+  typedef typename MatrixType::Scalar Scalar;
+  typedef typename MatrixType::RealScalar RealScalar;
+  typedef typename MatrixType::Index Index;
+  typedef typename MatrixType::ColXpr ColXpr;
+  typedef typename internal::remove_all<ColXpr>::type ColXprCleaned;
+  typedef typename ColXprCleaned::SegmentReturnType ColXprSegment;
+  typedef Matrix<Scalar,Dynamic,1> TempVectorType;
+  typedef typename TempVectorType::SegmentReturnType TempVecSegment;
+
+  int n = mat.cols();
+  eigen_assert(mat.rows()==n && vec.size()==n);
+
+  TempVectorType temp;
+
+  if(sigma>0)
+  {
+    // This version is based on Givens rotations.
+    // It is faster than the other one below, but only works for updates,
+    // i.e., for sigma > 0
+    temp = sqrt(sigma) * vec;
+
+    for(int i=0; i<n; ++i)
+    {
+      JacobiRotation<Scalar> g;
+      g.makeGivens(mat(i,i), -temp(i), &mat(i,i));
+
+      int rs = n-i-1;
+      if(rs>0)
+      {
+        ColXprSegment x(mat.col(i).tail(rs));
+        TempVecSegment y(temp.tail(rs));
+        apply_rotation_in_the_plane(x, y, g);
+      }
+    }
+  }
+  else
+  {
+    temp = vec;
+    RealScalar beta = 1;
+    for(int j=0; j<n; ++j)
+    {
+      RealScalar Ljj = real(mat.coeff(j,j));
+      RealScalar dj = abs2(Ljj);
+      Scalar wj = temp.coeff(j);
+      RealScalar swj2 = sigma*abs2(wj);
+      RealScalar gamma = dj*beta + swj2;
+
+      RealScalar x = dj + swj2/beta;
+      if (x<=RealScalar(0))
+        return j;
+      RealScalar nLjj = sqrt(x);
+      mat.coeffRef(j,j) = nLjj;
+      beta += swj2/dj;
+
+      // Update the terms of L
+      Index rs = n-j-1;
+      if(rs)
+      {
+        temp.tail(rs) -= (wj/Ljj) * mat.col(j).tail(rs);
+        if(gamma != 0)
+          mat.col(j).tail(rs) = (nLjj/Ljj) * mat.col(j).tail(rs) + (nLjj * sigma*conj(wj)/gamma)*temp.tail(rs);
+      }
+    }
+  }
+  return -1;
+}
 
-template<> struct llt_inplace<Lower>
+template<typename Scalar> struct llt_inplace<Scalar, Lower>
 {
+  typedef typename NumTraits<Scalar>::Real RealScalar;
   template<typename MatrixType>
   static typename MatrixType::Index unblocked(MatrixType& mat)
   {
     typedef typename MatrixType::Index Index;
-    typedef typename MatrixType::Scalar Scalar;
-    typedef typename MatrixType::RealScalar RealScalar;
     
     eigen_assert(mat.rows()==mat.cols());
     const Index size = mat.rows();
@@ -254,21 +333,35 @@ template<> struct llt_inplace<Lower>
     }
     return -1;
   }
-};
 
-template<> struct llt_inplace<Upper>
+  template<typename MatrixType, typename VectorType>
+  static typename MatrixType::Index rankUpdate(MatrixType& mat, const VectorType& vec, const RealScalar& sigma)
+  {
+    return Eigen::internal::llt_rank_update_lower(mat, vec, sigma);
+  }
+};
+  
+template<typename Scalar> struct llt_inplace<Scalar, Upper>
 {
+  typedef typename NumTraits<Scalar>::Real RealScalar;
+
   template<typename MatrixType>
   static EIGEN_STRONG_INLINE typename MatrixType::Index unblocked(MatrixType& mat)
   {
     Transpose<MatrixType> matt(mat);
-    return llt_inplace<Lower>::unblocked(matt);
+    return llt_inplace<Scalar, Lower>::unblocked(matt);
   }
   template<typename MatrixType>
   static EIGEN_STRONG_INLINE typename MatrixType::Index blocked(MatrixType& mat)
   {
     Transpose<MatrixType> matt(mat);
-    return llt_inplace<Lower>::blocked(matt);
+    return llt_inplace<Scalar, Lower>::blocked(matt);
+  }
+  template<typename MatrixType, typename VectorType>
+  static typename MatrixType::Index rankUpdate(MatrixType& mat, const VectorType& vec, const RealScalar& sigma)
+  {
+    Transpose<MatrixType> matt(mat);
+    return llt_inplace<Scalar, Lower>::rankUpdate(matt, vec.conjugate(), sigma);
   }
 };
 
@@ -276,33 +369,35 @@ template<typename MatrixType> struct LLT_Traits<MatrixType,Lower>
 {
   typedef const TriangularView<const MatrixType, Lower> MatrixL;
   typedef const TriangularView<const typename MatrixType::AdjointReturnType, Upper> MatrixU;
-  inline static MatrixL getL(const MatrixType& m) { return m; }
-  inline static MatrixU getU(const MatrixType& m) { return m.adjoint(); }
+  static inline MatrixL getL(const MatrixType& m) { return m; }
+  static inline MatrixU getU(const MatrixType& m) { return m.adjoint(); }
   static bool inplace_decomposition(MatrixType& m)
-  { return llt_inplace<Lower>::blocked(m)==-1; }
+  { return llt_inplace<typename MatrixType::Scalar, Lower>::blocked(m)==-1; }
 };
 
 template<typename MatrixType> struct LLT_Traits<MatrixType,Upper>
 {
   typedef const TriangularView<const typename MatrixType::AdjointReturnType, Lower> MatrixL;
   typedef const TriangularView<const MatrixType, Upper> MatrixU;
-  inline static MatrixL getL(const MatrixType& m) { return m.adjoint(); }
-  inline static MatrixU getU(const MatrixType& m) { return m; }
+  static inline MatrixL getL(const MatrixType& m) { return m.adjoint(); }
+  static inline MatrixU getU(const MatrixType& m) { return m; }
   static bool inplace_decomposition(MatrixType& m)
-  { return llt_inplace<Upper>::blocked(m)==-1; }
+  { return llt_inplace<typename MatrixType::Scalar, Upper>::blocked(m)==-1; }
 };
 
 } // end namespace internal
 
 /** Computes / recomputes the Cholesky decomposition A = LL^* = U^*U of \a matrix
   *
-  *
   * \returns a reference to *this
+  *
+  * Example: \include TutorialLinAlgComputeTwice.cpp
+  * Output: \verbinclude TutorialLinAlgComputeTwice.out
   */
 template<typename MatrixType, int _UpLo>
 LLT<MatrixType,_UpLo>& LLT<MatrixType,_UpLo>::compute(const MatrixType& a)
 {
-  assert(a.rows()==a.cols());
+  eigen_assert(a.rows()==a.cols());
   const Index size = a.rows();
   m_matrix.resize(size, size);
   m_matrix = a;
@@ -314,6 +409,26 @@ LLT<MatrixType,_UpLo>& LLT<MatrixType,_UpLo>::compute(const MatrixType& a)
   return *this;
 }
 
+/** Performs a rank one update (or dowdate) of the current decomposition.
+  * If A = LL^* before the rank one update,
+  * then after it we have LL^* = A + sigma * v v^* where \a v must be a vector
+  * of same dimension.
+  */
+template<typename _MatrixType, int _UpLo>
+template<typename VectorType>
+LLT<_MatrixType,_UpLo> LLT<_MatrixType,_UpLo>::rankUpdate(const VectorType& v, const RealScalar& sigma)
+{
+  EIGEN_STATIC_ASSERT_VECTOR_ONLY(VectorType);
+  eigen_assert(v.size()==m_matrix.cols());
+  eigen_assert(m_isInitialized);
+  if(internal::llt_inplace<typename MatrixType::Scalar, UpLo>::rankUpdate(m_matrix,v,sigma)>=0)
+    m_info = NumericalIssue;
+  else
+    m_info = Success;
+
+  return *this;
+}
+    
 namespace internal {
 template<typename _MatrixType, int UpLo, typename Rhs>
 struct solve_retval<LLT<_MatrixType, UpLo>, Rhs>
@@ -383,4 +498,6 @@ SelfAdjointView<MatrixType, UpLo>::llt() const
   return LLT<PlainObject,UpLo>(m_matrix);
 }
 
+} // end namespace Eigen
+
 #endif // EIGEN_LLT_H
diff --git a/extern/Eigen3/Eigen/src/Core/Array.h b/extern/Eigen3/Eigen/src/Core/Array.h
index a11fb1b53d5..4762933d7e4 100644
--- a/extern/Eigen3/Eigen/src/Core/Array.h
+++ b/extern/Eigen3/Eigen/src/Core/Array.h
@@ -25,6 +25,8 @@
 #ifndef EIGEN_ARRAY_H
 #define EIGEN_ARRAY_H
 
+namespace Eigen {
+
 /** \class Array 
   * \ingroup Core_Module
   *
@@ -316,5 +318,6 @@ EIGEN_USING_ARRAY_TYPEDEFS_FOR_TYPE(d) \
 EIGEN_USING_ARRAY_TYPEDEFS_FOR_TYPE(cf) \
 EIGEN_USING_ARRAY_TYPEDEFS_FOR_TYPE(cd)
 
+} // end namespace Eigen
 
 #endif // EIGEN_ARRAY_H
diff --git a/extern/Eigen3/Eigen/src/Core/ArrayBase.h b/extern/Eigen3/Eigen/src/Core/ArrayBase.h
index 9399ac3d15c..ec3a4be4327 100644
--- a/extern/Eigen3/Eigen/src/Core/ArrayBase.h
+++ b/extern/Eigen3/Eigen/src/Core/ArrayBase.h
@@ -25,6 +25,8 @@
 #ifndef EIGEN_ARRAYBASE_H
 #define EIGEN_ARRAYBASE_H
 
+namespace Eigen { 
+
 template<typename ExpressionType> class MatrixWrapper;
 
 /** \class ArrayBase
@@ -159,7 +161,7 @@ template<typename Derived> class ArrayBase
     /** \returns an \link MatrixBase Matrix \endlink expression of this array
       * \sa MatrixBase::array() */
     MatrixWrapper<Derived> matrix() { return derived(); }
-    const MatrixWrapper<Derived> matrix() const { return derived(); }
+    const MatrixWrapper<const Derived> matrix() const { return derived(); }
 
 //     template<typename Dest>
 //     inline void evalTo(Dest& dst) const { dst = matrix(); }
@@ -174,10 +176,10 @@ template<typename Derived> class ArrayBase
   protected:
     // mixing arrays and matrices is not legal
     template<typename OtherDerived> Derived& operator+=(const MatrixBase<OtherDerived>& )
-    {EIGEN_STATIC_ASSERT(sizeof(typename OtherDerived::Scalar)==-1,YOU_CANNOT_MIX_ARRAYS_AND_MATRICES);}
+    {EIGEN_STATIC_ASSERT(std::ptrdiff_t(sizeof(typename OtherDerived::Scalar))==-1,YOU_CANNOT_MIX_ARRAYS_AND_MATRICES); return *this;}
     // mixing arrays and matrices is not legal
     template<typename OtherDerived> Derived& operator-=(const MatrixBase<OtherDerived>& )
-    {EIGEN_STATIC_ASSERT(sizeof(typename OtherDerived::Scalar)==-1,YOU_CANNOT_MIX_ARRAYS_AND_MATRICES);}
+    {EIGEN_STATIC_ASSERT(std::ptrdiff_t(sizeof(typename OtherDerived::Scalar))==-1,YOU_CANNOT_MIX_ARRAYS_AND_MATRICES); return *this;}
 };
 
 /** replaces \c *this by \c *this - \a other.
@@ -236,4 +238,6 @@ ArrayBase<Derived>::operator/=(const ArrayBase<OtherDerived>& other)
   return derived();
 }
 
+} // end namespace Eigen
+
 #endif // EIGEN_ARRAYBASE_H
diff --git a/extern/Eigen3/Eigen/src/Core/ArrayWrapper.h b/extern/Eigen3/Eigen/src/Core/ArrayWrapper.h
index 07f082e1edc..f8a442ceebb 100644
--- a/extern/Eigen3/Eigen/src/Core/ArrayWrapper.h
+++ b/extern/Eigen3/Eigen/src/Core/ArrayWrapper.h
@@ -25,6 +25,8 @@
 #ifndef EIGEN_ARRAYWRAPPER_H
 #define EIGEN_ARRAYWRAPPER_H
 
+namespace Eigen { 
+
 /** \class ArrayWrapper
   * \ingroup Core_Module
   *
@@ -61,7 +63,7 @@ class ArrayWrapper : public ArrayBase<ArrayWrapper<ExpressionType> >
 
     typedef typename internal::nested<ExpressionType>::type NestedExpressionType;
 
-    inline ArrayWrapper(const ExpressionType& matrix) : m_expression(matrix) {}
+    inline ArrayWrapper(ExpressionType& matrix) : m_expression(matrix) {}
 
     inline Index rows() const { return m_expression.rows(); }
     inline Index cols() const { return m_expression.cols(); }
@@ -71,7 +73,7 @@ class ArrayWrapper : public ArrayBase<ArrayWrapper<ExpressionType> >
     inline ScalarWithConstIfNotLvalue* data() { return m_expression.data(); }
     inline const Scalar* data() const { return m_expression.data(); }
 
-    inline const CoeffReturnType coeff(Index row, Index col) const
+    inline CoeffReturnType coeff(Index row, Index col) const
     {
       return m_expression.coeff(row, col);
     }
@@ -86,7 +88,7 @@ class ArrayWrapper : public ArrayBase<ArrayWrapper<ExpressionType> >
       return m_expression.const_cast_derived().coeffRef(row, col);
     }
 
-    inline const CoeffReturnType coeff(Index index) const
+    inline CoeffReturnType coeff(Index index) const
     {
       return m_expression.coeff(index);
     }
@@ -128,8 +130,14 @@ class ArrayWrapper : public ArrayBase<ArrayWrapper<ExpressionType> >
     template<typename Dest>
     inline void evalTo(Dest& dst) const { dst = m_expression; }
 
+    const typename internal::remove_all<NestedExpressionType>::type& 
+    nestedExpression() const 
+    {
+      return m_expression;
+    }
+
   protected:
-    const NestedExpressionType m_expression;
+    NestedExpressionType m_expression;
 };
 
 /** \class MatrixWrapper
@@ -168,7 +176,7 @@ class MatrixWrapper : public MatrixBase<MatrixWrapper<ExpressionType> >
 
     typedef typename internal::nested<ExpressionType>::type NestedExpressionType;
 
-    inline MatrixWrapper(const ExpressionType& matrix) : m_expression(matrix) {}
+    inline MatrixWrapper(ExpressionType& matrix) : m_expression(matrix) {}
 
     inline Index rows() const { return m_expression.rows(); }
     inline Index cols() const { return m_expression.cols(); }
@@ -178,7 +186,7 @@ class MatrixWrapper : public MatrixBase<MatrixWrapper<ExpressionType> >
     inline ScalarWithConstIfNotLvalue* data() { return m_expression.data(); }
     inline const Scalar* data() const { return m_expression.data(); }
 
-    inline const CoeffReturnType coeff(Index row, Index col) const
+    inline CoeffReturnType coeff(Index row, Index col) const
     {
       return m_expression.coeff(row, col);
     }
@@ -193,7 +201,7 @@ class MatrixWrapper : public MatrixBase<MatrixWrapper<ExpressionType> >
       return m_expression.derived().coeffRef(row, col);
     }
 
-    inline const CoeffReturnType coeff(Index index) const
+    inline CoeffReturnType coeff(Index index) const
     {
       return m_expression.coeff(index);
     }
@@ -232,8 +240,16 @@ class MatrixWrapper : public MatrixBase<MatrixWrapper<ExpressionType> >
       m_expression.const_cast_derived().template writePacket<LoadMode>(index, x);
     }
 
+    const typename internal::remove_all<NestedExpressionType>::type& 
+    nestedExpression() const 
+    {
+      return m_expression;
+    }
+
   protected:
-    const NestedExpressionType m_expression;
+    NestedExpressionType m_expression;
 };
 
+} // end namespace Eigen
+
 #endif // EIGEN_ARRAYWRAPPER_H
diff --git a/extern/Eigen3/Eigen/src/Core/Assign.h b/extern/Eigen3/Eigen/src/Core/Assign.h
index 3a17152f043..75390acf363 100644
--- a/extern/Eigen3/Eigen/src/Core/Assign.h
+++ b/extern/Eigen3/Eigen/src/Core/Assign.h
@@ -27,6 +27,8 @@
 #ifndef EIGEN_ASSIGN_H
 #define EIGEN_ASSIGN_H
 
+namespace Eigen {
+
 namespace internal {
 
 /***************************************************************************
@@ -152,7 +154,7 @@ struct assign_DefaultTraversal_CompleteUnrolling
     inner = Index % Derived1::InnerSizeAtCompileTime
   };
 
-  EIGEN_STRONG_INLINE static void run(Derived1 &dst, const Derived2 &src)
+  static EIGEN_STRONG_INLINE void run(Derived1 &dst, const Derived2 &src)
   {
     dst.copyCoeffByOuterInner(outer, inner, src);
     assign_DefaultTraversal_CompleteUnrolling<Derived1, Derived2, Index+1, Stop>::run(dst, src);
@@ -162,13 +164,13 @@ struct assign_DefaultTraversal_CompleteUnrolling
 template<typename Derived1, typename Derived2, int Stop>
 struct assign_DefaultTraversal_CompleteUnrolling<Derived1, Derived2, Stop, Stop>
 {
-  EIGEN_STRONG_INLINE static void run(Derived1 &, const Derived2 &) {}
+  static EIGEN_STRONG_INLINE void run(Derived1 &, const Derived2 &) {}
 };
 
 template<typename Derived1, typename Derived2, int Index, int Stop>
 struct assign_DefaultTraversal_InnerUnrolling
 {
-  EIGEN_STRONG_INLINE static void run(Derived1 &dst, const Derived2 &src, int outer)
+  static EIGEN_STRONG_INLINE void run(Derived1 &dst, const Derived2 &src, int outer)
   {
     dst.copyCoeffByOuterInner(outer, Index, src);
     assign_DefaultTraversal_InnerUnrolling<Derived1, Derived2, Index+1, Stop>::run(dst, src, outer);
@@ -178,7 +180,7 @@ struct assign_DefaultTraversal_InnerUnrolling
 template<typename Derived1, typename Derived2, int Stop>
 struct assign_DefaultTraversal_InnerUnrolling<Derived1, Derived2, Stop, Stop>
 {
-  EIGEN_STRONG_INLINE static void run(Derived1 &, const Derived2 &, int) {}
+  static EIGEN_STRONG_INLINE void run(Derived1 &, const Derived2 &, int) {}
 };
 
 /***********************
@@ -188,7 +190,7 @@ struct assign_DefaultTraversal_InnerUnrolling<Derived1, Derived2, Stop, Stop>
 template<typename Derived1, typename Derived2, int Index, int Stop>
 struct assign_LinearTraversal_CompleteUnrolling
 {
-  EIGEN_STRONG_INLINE static void run(Derived1 &dst, const Derived2 &src)
+  static EIGEN_STRONG_INLINE void run(Derived1 &dst, const Derived2 &src)
   {
     dst.copyCoeff(Index, src);
     assign_LinearTraversal_CompleteUnrolling<Derived1, Derived2, Index+1, Stop>::run(dst, src);
@@ -198,7 +200,7 @@ struct assign_LinearTraversal_CompleteUnrolling
 template<typename Derived1, typename Derived2, int Stop>
 struct assign_LinearTraversal_CompleteUnrolling<Derived1, Derived2, Stop, Stop>
 {
-  EIGEN_STRONG_INLINE static void run(Derived1 &, const Derived2 &) {}
+  static EIGEN_STRONG_INLINE void run(Derived1 &, const Derived2 &) {}
 };
 
 /**************************
@@ -214,7 +216,7 @@ struct assign_innervec_CompleteUnrolling
     JointAlignment = assign_traits<Derived1,Derived2>::JointAlignment
   };
 
-  EIGEN_STRONG_INLINE static void run(Derived1 &dst, const Derived2 &src)
+  static EIGEN_STRONG_INLINE void run(Derived1 &dst, const Derived2 &src)
   {
     dst.template copyPacketByOuterInner<Derived2, Aligned, JointAlignment>(outer, inner, src);
     assign_innervec_CompleteUnrolling<Derived1, Derived2,
@@ -225,13 +227,13 @@ struct assign_innervec_CompleteUnrolling
 template<typename Derived1, typename Derived2, int Stop>
 struct assign_innervec_CompleteUnrolling<Derived1, Derived2, Stop, Stop>
 {
-  EIGEN_STRONG_INLINE static void run(Derived1 &, const Derived2 &) {}
+  static EIGEN_STRONG_INLINE void run(Derived1 &, const Derived2 &) {}
 };
 
 template<typename Derived1, typename Derived2, int Index, int Stop>
 struct assign_innervec_InnerUnrolling
 {
-  EIGEN_STRONG_INLINE static void run(Derived1 &dst, const Derived2 &src, int outer)
+  static EIGEN_STRONG_INLINE void run(Derived1 &dst, const Derived2 &src, int outer)
   {
     dst.template copyPacketByOuterInner<Derived2, Aligned, Aligned>(outer, Index, src);
     assign_innervec_InnerUnrolling<Derived1, Derived2,
@@ -242,7 +244,7 @@ struct assign_innervec_InnerUnrolling
 template<typename Derived1, typename Derived2, int Stop>
 struct assign_innervec_InnerUnrolling<Derived1, Derived2, Stop, Stop>
 {
-  EIGEN_STRONG_INLINE static void run(Derived1 &, const Derived2 &, int) {}
+  static EIGEN_STRONG_INLINE void run(Derived1 &, const Derived2 &, int) {}
 };
 
 /***************************************************************************
@@ -251,24 +253,25 @@ struct assign_innervec_InnerUnrolling<Derived1, Derived2, Stop, Stop>
 
 template<typename Derived1, typename Derived2,
          int Traversal = assign_traits<Derived1, Derived2>::Traversal,
-         int Unrolling = assign_traits<Derived1, Derived2>::Unrolling>
+         int Unrolling = assign_traits<Derived1, Derived2>::Unrolling,
+         int Version = Specialized>
 struct assign_impl;
 
 /************************
 *** Default traversal ***
 ************************/
 
-template<typename Derived1, typename Derived2, int Unrolling>
-struct assign_impl<Derived1, Derived2, InvalidTraversal, Unrolling>
+template<typename Derived1, typename Derived2, int Unrolling, int Version>
+struct assign_impl<Derived1, Derived2, InvalidTraversal, Unrolling, Version>
 {
-  inline static void run(Derived1 &, const Derived2 &) { }
+  static inline void run(Derived1 &, const Derived2 &) { }
 };
 
-template<typename Derived1, typename Derived2>
-struct assign_impl<Derived1, Derived2, DefaultTraversal, NoUnrolling>
+template<typename Derived1, typename Derived2, int Version>
+struct assign_impl<Derived1, Derived2, DefaultTraversal, NoUnrolling, Version>
 {
   typedef typename Derived1::Index Index;
-  inline static void run(Derived1 &dst, const Derived2 &src)
+  static inline void run(Derived1 &dst, const Derived2 &src)
   {
     const Index innerSize = dst.innerSize();
     const Index outerSize = dst.outerSize();
@@ -278,21 +281,21 @@ struct assign_impl<Derived1, Derived2, DefaultTraversal, NoUnrolling>
   }
 };
 
-template<typename Derived1, typename Derived2>
-struct assign_impl<Derived1, Derived2, DefaultTraversal, CompleteUnrolling>
+template<typename Derived1, typename Derived2, int Version>
+struct assign_impl<Derived1, Derived2, DefaultTraversal, CompleteUnrolling, Version>
 {
-  EIGEN_STRONG_INLINE static void run(Derived1 &dst, const Derived2 &src)
+  static EIGEN_STRONG_INLINE void run(Derived1 &dst, const Derived2 &src)
   {
     assign_DefaultTraversal_CompleteUnrolling<Derived1, Derived2, 0, Derived1::SizeAtCompileTime>
       ::run(dst, src);
   }
 };
 
-template<typename Derived1, typename Derived2>
-struct assign_impl<Derived1, Derived2, DefaultTraversal, InnerUnrolling>
+template<typename Derived1, typename Derived2, int Version>
+struct assign_impl<Derived1, Derived2, DefaultTraversal, InnerUnrolling, Version>
 {
   typedef typename Derived1::Index Index;
-  EIGEN_STRONG_INLINE static void run(Derived1 &dst, const Derived2 &src)
+  static EIGEN_STRONG_INLINE void run(Derived1 &dst, const Derived2 &src)
   {
     const Index outerSize = dst.outerSize();
     for(Index outer = 0; outer < outerSize; ++outer)
@@ -305,11 +308,11 @@ struct assign_impl<Derived1, Derived2, DefaultTraversal, InnerUnrolling>
 *** Linear traversal ***
 ***********************/
 
-template<typename Derived1, typename Derived2>
-struct assign_impl<Derived1, Derived2, LinearTraversal, NoUnrolling>
+template<typename Derived1, typename Derived2, int Version>
+struct assign_impl<Derived1, Derived2, LinearTraversal, NoUnrolling, Version>
 {
   typedef typename Derived1::Index Index;
-  inline static void run(Derived1 &dst, const Derived2 &src)
+  static inline void run(Derived1 &dst, const Derived2 &src)
   {
     const Index size = dst.size();
     for(Index i = 0; i < size; ++i)
@@ -317,10 +320,10 @@ struct assign_impl<Derived1, Derived2, LinearTraversal, NoUnrolling>
   }
 };
 
-template<typename Derived1, typename Derived2>
-struct assign_impl<Derived1, Derived2, LinearTraversal, CompleteUnrolling>
+template<typename Derived1, typename Derived2, int Version>
+struct assign_impl<Derived1, Derived2, LinearTraversal, CompleteUnrolling, Version>
 {
-  EIGEN_STRONG_INLINE static void run(Derived1 &dst, const Derived2 &src)
+  static EIGEN_STRONG_INLINE void run(Derived1 &dst, const Derived2 &src)
   {
     assign_LinearTraversal_CompleteUnrolling<Derived1, Derived2, 0, Derived1::SizeAtCompileTime>
       ::run(dst, src);
@@ -331,11 +334,11 @@ struct assign_impl<Derived1, Derived2, LinearTraversal, CompleteUnrolling>
 *** Inner vectorization ***
 **************************/
 
-template<typename Derived1, typename Derived2>
-struct assign_impl<Derived1, Derived2, InnerVectorizedTraversal, NoUnrolling>
+template<typename Derived1, typename Derived2, int Version>
+struct assign_impl<Derived1, Derived2, InnerVectorizedTraversal, NoUnrolling, Version>
 {
   typedef typename Derived1::Index Index;
-  inline static void run(Derived1 &dst, const Derived2 &src)
+  static inline void run(Derived1 &dst, const Derived2 &src)
   {
     const Index innerSize = dst.innerSize();
     const Index outerSize = dst.outerSize();
@@ -346,21 +349,21 @@ struct assign_impl<Derived1, Derived2, InnerVectorizedTraversal, NoUnrolling>
   }
 };
 
-template<typename Derived1, typename Derived2>
-struct assign_impl<Derived1, Derived2, InnerVectorizedTraversal, CompleteUnrolling>
+template<typename Derived1, typename Derived2, int Version>
+struct assign_impl<Derived1, Derived2, InnerVectorizedTraversal, CompleteUnrolling, Version>
 {
-  EIGEN_STRONG_INLINE static void run(Derived1 &dst, const Derived2 &src)
+  static EIGEN_STRONG_INLINE void run(Derived1 &dst, const Derived2 &src)
   {
     assign_innervec_CompleteUnrolling<Derived1, Derived2, 0, Derived1::SizeAtCompileTime>
       ::run(dst, src);
   }
 };
 
-template<typename Derived1, typename Derived2>
-struct assign_impl<Derived1, Derived2, InnerVectorizedTraversal, InnerUnrolling>
+template<typename Derived1, typename Derived2, int Version>
+struct assign_impl<Derived1, Derived2, InnerVectorizedTraversal, InnerUnrolling, Version>
 {
   typedef typename Derived1::Index Index;
-  EIGEN_STRONG_INLINE static void run(Derived1 &dst, const Derived2 &src)
+  static EIGEN_STRONG_INLINE void run(Derived1 &dst, const Derived2 &src)
   {
     const Index outerSize = dst.outerSize();
     for(Index outer = 0; outer < outerSize; ++outer)
@@ -398,11 +401,11 @@ struct unaligned_assign_impl<false>
   }
 };
 
-template<typename Derived1, typename Derived2>
-struct assign_impl<Derived1, Derived2, LinearVectorizedTraversal, NoUnrolling>
+template<typename Derived1, typename Derived2, int Version>
+struct assign_impl<Derived1, Derived2, LinearVectorizedTraversal, NoUnrolling, Version>
 {
   typedef typename Derived1::Index Index;
-  EIGEN_STRONG_INLINE static void run(Derived1 &dst, const Derived2 &src)
+  static EIGEN_STRONG_INLINE void run(Derived1 &dst, const Derived2 &src)
   {
     const Index size = dst.size();
     typedef packet_traits<typename Derived1::Scalar> PacketTraits;
@@ -412,7 +415,7 @@ struct assign_impl<Derived1, Derived2, LinearVectorizedTraversal, NoUnrolling>
       srcAlignment = assign_traits<Derived1,Derived2>::JointAlignment
     };
     const Index alignedStart = assign_traits<Derived1,Derived2>::DstIsAligned ? 0
-                             : first_aligned(&dst.coeffRef(0), size);
+                             : internal::first_aligned(&dst.coeffRef(0), size);
     const Index alignedEnd = alignedStart + ((size-alignedStart)/packetSize)*packetSize;
 
     unaligned_assign_impl<assign_traits<Derived1,Derived2>::DstIsAligned!=0>::run(src,dst,0,alignedStart);
@@ -426,11 +429,11 @@ struct assign_impl<Derived1, Derived2, LinearVectorizedTraversal, NoUnrolling>
   }
 };
 
-template<typename Derived1, typename Derived2>
-struct assign_impl<Derived1, Derived2, LinearVectorizedTraversal, CompleteUnrolling>
+template<typename Derived1, typename Derived2, int Version>
+struct assign_impl<Derived1, Derived2, LinearVectorizedTraversal, CompleteUnrolling, Version>
 {
   typedef typename Derived1::Index Index;
-  EIGEN_STRONG_INLINE static void run(Derived1 &dst, const Derived2 &src)
+  static EIGEN_STRONG_INLINE void run(Derived1 &dst, const Derived2 &src)
   {
     enum { size = Derived1::SizeAtCompileTime,
            packetSize = packet_traits<typename Derived1::Scalar>::size,
@@ -445,11 +448,11 @@ struct assign_impl<Derived1, Derived2, LinearVectorizedTraversal, CompleteUnroll
 *** Slice vectorization ***
 ***************************/
 
-template<typename Derived1, typename Derived2>
-struct assign_impl<Derived1, Derived2, SliceVectorizedTraversal, NoUnrolling>
+template<typename Derived1, typename Derived2, int Version>
+struct assign_impl<Derived1, Derived2, SliceVectorizedTraversal, NoUnrolling, Version>
 {
   typedef typename Derived1::Index Index;
-  inline static void run(Derived1 &dst, const Derived2 &src)
+  static inline void run(Derived1 &dst, const Derived2 &src)
   {
     typedef packet_traits<typename Derived1::Scalar> PacketTraits;
     enum {
@@ -463,7 +466,7 @@ struct assign_impl<Derived1, Derived2, SliceVectorizedTraversal, NoUnrolling>
     const Index outerSize = dst.outerSize();
     const Index alignedStep = alignable ? (packetSize - dst.outerStride() % packetSize) & packetAlignedMask : 0;
     Index alignedStart = ((!alignable) || assign_traits<Derived1,Derived2>::DstIsAligned) ? 0
-                       : first_aligned(&dst.coeffRef(0,0), innerSize);
+                       : internal::first_aligned(&dst.coeffRef(0,0), innerSize);
 
     for(Index outer = 0; outer < outerSize; ++outer)
     {
@@ -531,19 +534,19 @@ struct assign_selector;
 
 template<typename Derived, typename OtherDerived>
 struct assign_selector<Derived,OtherDerived,false,false> {
-  EIGEN_STRONG_INLINE static Derived& run(Derived& dst, const OtherDerived& other) { return dst.lazyAssign(other.derived()); }
+  static EIGEN_STRONG_INLINE Derived& run(Derived& dst, const OtherDerived& other) { return dst.lazyAssign(other.derived()); }
 };
 template<typename Derived, typename OtherDerived>
 struct assign_selector<Derived,OtherDerived,true,false> {
-  EIGEN_STRONG_INLINE static Derived& run(Derived& dst, const OtherDerived& other) { return dst.lazyAssign(other.eval()); }
+  static EIGEN_STRONG_INLINE Derived& run(Derived& dst, const OtherDerived& other) { return dst.lazyAssign(other.eval()); }
 };
 template<typename Derived, typename OtherDerived>
 struct assign_selector<Derived,OtherDerived,false,true> {
-  EIGEN_STRONG_INLINE static Derived& run(Derived& dst, const OtherDerived& other) { return dst.lazyAssign(other.transpose()); }
+  static EIGEN_STRONG_INLINE Derived& run(Derived& dst, const OtherDerived& other) { return dst.lazyAssign(other.transpose()); }
 };
 template<typename Derived, typename OtherDerived>
 struct assign_selector<Derived,OtherDerived,true,true> {
-  EIGEN_STRONG_INLINE static Derived& run(Derived& dst, const OtherDerived& other) { return dst.lazyAssign(other.transpose().eval()); }
+  static EIGEN_STRONG_INLINE Derived& run(Derived& dst, const OtherDerived& other) { return dst.lazyAssign(other.transpose().eval()); }
 };
 
 } // end namespace internal
@@ -590,4 +593,6 @@ EIGEN_STRONG_INLINE Derived& MatrixBase<Derived>::operator=(const ReturnByValue<
   return derived();
 }
 
+} // end namespace Eigen
+
 #endif // EIGEN_ASSIGN_H
diff --git a/extern/Eigen3/Eigen/src/Core/BandMatrix.h b/extern/Eigen3/Eigen/src/Core/BandMatrix.h
index 2570d7b559f..8ef917de1a5 100644
--- a/extern/Eigen3/Eigen/src/Core/BandMatrix.h
+++ b/extern/Eigen3/Eigen/src/Core/BandMatrix.h
@@ -25,8 +25,9 @@
 #ifndef EIGEN_BANDMATRIX_H
 #define EIGEN_BANDMATRIX_H
 
-namespace internal {
+namespace Eigen { 
 
+namespace internal {
 
 template<typename Derived>
 class BandMatrixBase : public EigenBase<Derived>
@@ -343,4 +344,6 @@ class TridiagonalMatrix : public BandMatrix<Scalar,Size,Size,Options&SelfAdjoint
 
 } // end namespace internal
 
+} // end namespace Eigen
+
 #endif // EIGEN_BANDMATRIX_H
diff --git a/extern/Eigen3/Eigen/src/Core/Block.h b/extern/Eigen3/Eigen/src/Core/Block.h
index d470bc13400..84ad9b63b6e 100644
--- a/extern/Eigen3/Eigen/src/Core/Block.h
+++ b/extern/Eigen3/Eigen/src/Core/Block.h
@@ -26,6 +26,8 @@
 #ifndef EIGEN_BLOCK_H
 #define EIGEN_BLOCK_H
 
+namespace Eigen { 
+
 /** \class Block
   * \ingroup Core_Module
   *
@@ -242,6 +244,21 @@ template<typename XprType, int BlockRows, int BlockCols, bool InnerPanel, bool H
     inline Index outerStride() const;
     #endif
 
+    const typename internal::remove_all<typename XprType::Nested>::type& nestedExpression() const 
+    { 
+      return m_xpr; 
+    }
+      
+    Index startRow() const 
+    { 
+      return m_startRow.value(); 
+    }
+      
+    Index startCol() const 
+    { 
+      return m_startCol.value(); 
+    }
+
   protected:
 
     const typename XprType::Nested m_xpr;
@@ -304,6 +321,11 @@ class Block<XprType,BlockRows,BlockCols, InnerPanel,true>
       init();
     }
 
+    const typename internal::remove_all<typename XprType::Nested>::type& nestedExpression() const 
+    { 
+      return m_xpr; 
+    }
+      
     /** \sa MapBase::innerStride() */
     inline Index innerStride() const
     {
@@ -341,9 +363,10 @@ class Block<XprType,BlockRows,BlockCols, InnerPanel,true>
                     : m_xpr.innerStride();
     }
 
-    const typename XprType::Nested m_xpr;
+    typename XprType::Nested m_xpr;
     Index m_outerStride;
 };
 
+} // end namespace Eigen
 
 #endif // EIGEN_BLOCK_H
diff --git a/extern/Eigen3/Eigen/src/Core/BooleanRedux.h b/extern/Eigen3/Eigen/src/Core/BooleanRedux.h
index 5c3444a57c9..2c554a57d4e 100644
--- a/extern/Eigen3/Eigen/src/Core/BooleanRedux.h
+++ b/extern/Eigen3/Eigen/src/Core/BooleanRedux.h
@@ -25,6 +25,8 @@
 #ifndef EIGEN_ALLANDANY_H
 #define EIGEN_ALLANDANY_H
 
+namespace Eigen { 
+
 namespace internal {
 
 template<typename Derived, int UnrollCount>
@@ -35,7 +37,7 @@ struct all_unroller
     row = (UnrollCount-1) % Derived::RowsAtCompileTime
   };
 
-  inline static bool run(const Derived &mat)
+  static inline bool run(const Derived &mat)
   {
     return all_unroller<Derived, UnrollCount-1>::run(mat) && mat.coeff(row, col);
   }
@@ -44,13 +46,13 @@ struct all_unroller
 template<typename Derived>
 struct all_unroller<Derived, 1>
 {
-  inline static bool run(const Derived &mat) { return mat.coeff(0, 0); }
+  static inline bool run(const Derived &mat) { return mat.coeff(0, 0); }
 };
 
 template<typename Derived>
 struct all_unroller<Derived, Dynamic>
 {
-  inline static bool run(const Derived &) { return false; }
+  static inline bool run(const Derived &) { return false; }
 };
 
 template<typename Derived, int UnrollCount>
@@ -61,7 +63,7 @@ struct any_unroller
     row = (UnrollCount-1) % Derived::RowsAtCompileTime
   };
 
-  inline static bool run(const Derived &mat)
+  static inline bool run(const Derived &mat)
   {
     return any_unroller<Derived, UnrollCount-1>::run(mat) || mat.coeff(row, col);
   }
@@ -70,13 +72,13 @@ struct any_unroller
 template<typename Derived>
 struct any_unroller<Derived, 1>
 {
-  inline static bool run(const Derived &mat) { return mat.coeff(0, 0); }
+  static inline bool run(const Derived &mat) { return mat.coeff(0, 0); }
 };
 
 template<typename Derived>
 struct any_unroller<Derived, Dynamic>
 {
-  inline static bool run(const Derived &) { return false; }
+  static inline bool run(const Derived &) { return false; }
 };
 
 } // end namespace internal
@@ -146,4 +148,6 @@ inline typename DenseBase<Derived>::Index DenseBase<Derived>::count() const
   return derived().template cast<bool>().template cast<Index>().sum();
 }
 
+} // end namespace Eigen
+
 #endif // EIGEN_ALLANDANY_H
diff --git a/extern/Eigen3/Eigen/src/Core/CommaInitializer.h b/extern/Eigen3/Eigen/src/Core/CommaInitializer.h
index 92422bf2fa0..f9ec1d5872d 100644
--- a/extern/Eigen3/Eigen/src/Core/CommaInitializer.h
+++ b/extern/Eigen3/Eigen/src/Core/CommaInitializer.h
@@ -26,6 +26,8 @@
 #ifndef EIGEN_COMMAINITIALIZER_H
 #define EIGEN_COMMAINITIALIZER_H
 
+namespace Eigen { 
+
 /** \class CommaInitializer
   * \ingroup Core_Module
   *
@@ -147,4 +149,6 @@ DenseBase<Derived>::operator<<(const DenseBase<OtherDerived>& other)
   return CommaInitializer<Derived>(*static_cast<Derived *>(this), other);
 }
 
+} // end namespace Eigen
+
 #endif // EIGEN_COMMAINITIALIZER_H
diff --git a/extern/Eigen3/Eigen/src/Core/CwiseBinaryOp.h b/extern/Eigen3/Eigen/src/Core/CwiseBinaryOp.h
index 7386b2e1843..32599a7d9ac 100644
--- a/extern/Eigen3/Eigen/src/Core/CwiseBinaryOp.h
+++ b/extern/Eigen3/Eigen/src/Core/CwiseBinaryOp.h
@@ -26,6 +26,8 @@
 #ifndef EIGEN_CWISE_BINARY_OP_H
 #define EIGEN_CWISE_BINARY_OP_H
 
+namespace Eigen {
+
 /** \class CwiseBinaryOp
   * \ingroup Core_Module
   *
@@ -167,8 +169,8 @@ class CwiseBinaryOp : internal::no_assignment_operator,
     const BinaryOp& functor() const { return m_functor; }
 
   protected:
-    const LhsNested m_lhs;
-    const RhsNested m_rhs;
+    LhsNested m_lhs;
+    RhsNested m_rhs;
     const BinaryOp m_functor;
 };
 
@@ -237,4 +239,6 @@ MatrixBase<Derived>::operator+=(const MatrixBase<OtherDerived>& other)
   return derived();
 }
 
+} // end namespace Eigen
+
 #endif // EIGEN_CWISE_BINARY_OP_H
diff --git a/extern/Eigen3/Eigen/src/Core/CwiseNullaryOp.h b/extern/Eigen3/Eigen/src/Core/CwiseNullaryOp.h
index c616e7ae13d..a6d5e093432 100644
--- a/extern/Eigen3/Eigen/src/Core/CwiseNullaryOp.h
+++ b/extern/Eigen3/Eigen/src/Core/CwiseNullaryOp.h
@@ -25,6 +25,8 @@
 #ifndef EIGEN_CWISE_NULLARY_OP_H
 #define EIGEN_CWISE_NULLARY_OP_H
 
+namespace Eigen {
+
 /** \class CwiseNullaryOp
   * \ingroup Core_Module
   *
@@ -101,6 +103,9 @@ class CwiseNullaryOp : internal::no_assignment_operator,
       return m_functor.packetOp(index);
     }
 
+    /** \returns the functor representing the nullary operation */
+    const NullaryOp& functor() const { return m_functor; }
+
   protected:
     const internal::variable_if_dynamic<Index, RowsAtCompileTime> m_rows;
     const internal::variable_if_dynamic<Index, ColsAtCompileTime> m_cols;
@@ -238,6 +243,8 @@ DenseBase<Derived>::Constant(const Scalar& value)
   * assumed to be a(0), a(1), ..., a(size). This assumption allows for better vectorization
   * and yields faster code than the random access version.
   *
+  * When size is set to 1, a vector of length 1 containing 'high' is returned.
+  *
   * \only_for_vectors
   *
   * Example: \include DenseBase_LinSpaced_seq.cpp
@@ -270,6 +277,7 @@ DenseBase<Derived>::LinSpaced(Sequential_t, const Scalar& low, const Scalar& hig
   * \brief Sets a linearly space vector.
   *
   * The function generates 'size' equally spaced values in the closed interval [low,high].
+  * When size is set to 1, a vector of length 1 containing 'high' is returned.
   *
   * \only_for_vectors
   *
@@ -381,6 +389,7 @@ PlainObjectBase<Derived>::setConstant(Index rows, Index cols, const Scalar& valu
   * \brief Sets a linearly space vector.
   *
   * The function generates 'size' equally spaced values in the closed interval [low,high].
+  * When size is set to 1, a vector of length 1 containing 'high' is returned.
   *
   * \only_for_vectors
   *
@@ -396,6 +405,23 @@ EIGEN_STRONG_INLINE Derived& DenseBase<Derived>::setLinSpaced(Index size, const
   return derived() = Derived::NullaryExpr(size, internal::linspaced_op<Scalar,false>(low,high,size));
 }
 
+/**
+  * \brief Sets a linearly space vector.
+  *
+  * The function fill *this with equally spaced values in the closed interval [low,high].
+  * When size is set to 1, a vector of length 1 containing 'high' is returned.
+  *
+  * \only_for_vectors
+  *
+  * \sa setLinSpaced(Index, const Scalar&, const Scalar&), CwiseNullaryOp
+  */
+template<typename Derived>
+EIGEN_STRONG_INLINE Derived& DenseBase<Derived>::setLinSpaced(const Scalar& low, const Scalar& high)
+{
+  EIGEN_STATIC_ASSERT_VECTOR_ONLY(Derived)
+  return setLinSpaced(size(), low, high);
+}
+
 // zero:
 
 /** \returns an expression of a zero matrix.
@@ -848,4 +874,6 @@ template<typename Derived>
 EIGEN_STRONG_INLINE const typename MatrixBase<Derived>::BasisReturnType MatrixBase<Derived>::UnitW()
 { return Derived::Unit(3); }
 
+} // end namespace Eigen
+
 #endif // EIGEN_CWISE_NULLARY_OP_H
diff --git a/extern/Eigen3/Eigen/src/Core/CwiseUnaryOp.h b/extern/Eigen3/Eigen/src/Core/CwiseUnaryOp.h
index 958571d64bf..9110c9800f5 100644
--- a/extern/Eigen3/Eigen/src/Core/CwiseUnaryOp.h
+++ b/extern/Eigen3/Eigen/src/Core/CwiseUnaryOp.h
@@ -26,6 +26,8 @@
 #ifndef EIGEN_CWISE_UNARY_OP_H
 #define EIGEN_CWISE_UNARY_OP_H
 
+namespace Eigen { 
+
 /** \class CwiseUnaryOp
   * \ingroup Core_Module
   *
@@ -95,7 +97,7 @@ class CwiseUnaryOp : internal::no_assignment_operator,
     nestedExpression() { return m_xpr.const_cast_derived(); }
 
   protected:
-    const typename XprType::Nested m_xpr;
+    typename XprType::Nested m_xpr;
     const UnaryOp m_functor;
 };
 
@@ -134,4 +136,6 @@ class CwiseUnaryOpImpl<UnaryOp,XprType,Dense>
     }
 };
 
+} // end namespace Eigen
+
 #endif // EIGEN_CWISE_UNARY_OP_H
diff --git a/extern/Eigen3/Eigen/src/Core/CwiseUnaryView.h b/extern/Eigen3/Eigen/src/Core/CwiseUnaryView.h
index d24ef037314..bf16243d599 100644
--- a/extern/Eigen3/Eigen/src/Core/CwiseUnaryView.h
+++ b/extern/Eigen3/Eigen/src/Core/CwiseUnaryView.h
@@ -25,6 +25,8 @@
 #ifndef EIGEN_CWISE_UNARY_VIEW_H
 #define EIGEN_CWISE_UNARY_VIEW_H
 
+namespace Eigen {
+
 /** \class CwiseUnaryView
   * \ingroup Core_Module
   *
@@ -97,7 +99,7 @@ class CwiseUnaryView : internal::no_assignment_operator,
 
   protected:
     // FIXME changed from MatrixType::Nested because of a weird compilation error with sun CC
-    const typename internal::nested<MatrixType>::type m_matrix;
+    typename internal::nested<MatrixType>::type m_matrix;
     ViewOp m_functor;
 };
 
@@ -143,6 +145,6 @@ class CwiseUnaryViewImpl<ViewOp,MatrixType,Dense>
     }
 };
 
-
+} // end namespace Eigen
 
 #endif // EIGEN_CWISE_UNARY_VIEW_H
diff --git a/extern/Eigen3/Eigen/src/Core/DenseBase.h b/extern/Eigen3/Eigen/src/Core/DenseBase.h
index 920904f243a..1882dcca47e 100644
--- a/extern/Eigen3/Eigen/src/Core/DenseBase.h
+++ b/extern/Eigen3/Eigen/src/Core/DenseBase.h
@@ -26,6 +26,8 @@
 #ifndef EIGEN_DENSEBASE_H
 #define EIGEN_DENSEBASE_H
 
+namespace Eigen {
+
 /** \class DenseBase
   * \ingroup Core_Module
   *
@@ -376,12 +378,13 @@ template<typename Derived> class DenseBase
     inline Derived& operator*=(const Scalar& other);
     inline Derived& operator/=(const Scalar& other);
 
+    typedef typename internal::add_const_on_value_type<typename internal::eval<Derived>::type>::type EvalReturnType;
     /** \returns the matrix or vector obtained by evaluating this expression.
       *
       * Notice that in the case of a plain matrix or vector (not an expression) this function just returns
       * a const reference, in order to avoid a useless copy.
       */
-    EIGEN_STRONG_INLINE const typename internal::eval<Derived>::type eval() const
+    EIGEN_STRONG_INLINE EvalReturnType eval() const
     {
       // Even though MSVC does not honor strong inlining when the return type
       // is a dynamic matrix, we desperately need strong inlining for fixed
@@ -540,4 +543,6 @@ template<typename Derived> class DenseBase
     template<typename OtherDerived> explicit DenseBase(const DenseBase<OtherDerived>&);
 };
 
+} // end namespace Eigen
+
 #endif // EIGEN_DENSEBASE_H
diff --git a/extern/Eigen3/Eigen/src/Core/DenseCoeffsBase.h b/extern/Eigen3/Eigen/src/Core/DenseCoeffsBase.h
index e45238fb584..e1aa1a5f8c2 100644
--- a/extern/Eigen3/Eigen/src/Core/DenseCoeffsBase.h
+++ b/extern/Eigen3/Eigen/src/Core/DenseCoeffsBase.h
@@ -25,6 +25,8 @@
 #ifndef EIGEN_DENSECOEFFSBASE_H
 #define EIGEN_DENSECOEFFSBASE_H
 
+namespace Eigen {
+
 namespace internal {
 template<typename T> struct add_const_on_value_type_if_arithmetic
 {
@@ -710,16 +712,16 @@ namespace internal {
 template<typename Derived, bool JustReturnZero>
 struct first_aligned_impl
 {
-  inline static typename Derived::Index run(const Derived&)
+  static inline typename Derived::Index run(const Derived&)
   { return 0; }
 };
 
 template<typename Derived>
 struct first_aligned_impl<Derived, false>
 {
-  inline static typename Derived::Index run(const Derived& m)
+  static inline typename Derived::Index run(const Derived& m)
   {
-    return first_aligned(&m.const_cast_derived().coeffRef(0,0), m.size());
+    return internal::first_aligned(&m.const_cast_derived().coeffRef(0,0), m.size());
   }
 };
 
@@ -729,7 +731,7 @@ struct first_aligned_impl<Derived, false>
   * documentation.
   */
 template<typename Derived>
-inline static typename Derived::Index first_aligned(const Derived& m)
+static inline typename Derived::Index first_aligned(const Derived& m)
 {
   return first_aligned_impl
           <Derived, (Derived::Flags & AlignedBit) || !(Derived::Flags & DirectAccessBit)>
@@ -762,4 +764,6 @@ struct outer_stride_at_compile_time<Derived, false>
 
 } // end namespace internal
 
+} // end namespace Eigen
+
 #endif // EIGEN_DENSECOEFFSBASE_H
diff --git a/extern/Eigen3/Eigen/src/Core/DenseStorage.h b/extern/Eigen3/Eigen/src/Core/DenseStorage.h
index 813053b00dd..0ea05bc907f 100644
--- a/extern/Eigen3/Eigen/src/Core/DenseStorage.h
+++ b/extern/Eigen3/Eigen/src/Core/DenseStorage.h
@@ -33,6 +33,8 @@
   #define EIGEN_INTERNAL_DENSE_STORAGE_CTOR_PLUGIN
 #endif
 
+namespace Eigen {
+
 namespace internal {
 
 struct constructor_without_unaligned_array_assert {};
@@ -104,8 +106,8 @@ template<typename T, int Size, int _Rows, int _Cols, int _Options> class DenseSt
       : m_data(internal::constructor_without_unaligned_array_assert()) {}
     inline DenseStorage(DenseIndex,DenseIndex,DenseIndex) {}
     inline void swap(DenseStorage& other) { std::swap(m_data,other.m_data); }
-    inline static DenseIndex rows(void) {return _Rows;}
-    inline static DenseIndex cols(void) {return _Cols;}
+    static inline DenseIndex rows(void) {return _Rows;}
+    static inline DenseIndex cols(void) {return _Cols;}
     inline void conservativeResize(DenseIndex,DenseIndex,DenseIndex) {}
     inline void resize(DenseIndex,DenseIndex,DenseIndex) {}
     inline const T *data() const { return m_data.array; }
@@ -120,14 +122,24 @@ template<typename T, int _Rows, int _Cols, int _Options> class DenseStorage<T, 0
     inline DenseStorage(internal::constructor_without_unaligned_array_assert) {}
     inline DenseStorage(DenseIndex,DenseIndex,DenseIndex) {}
     inline void swap(DenseStorage& ) {}
-    inline static DenseIndex rows(void) {return _Rows;}
-    inline static DenseIndex cols(void) {return _Cols;}
+    static inline DenseIndex rows(void) {return _Rows;}
+    static inline DenseIndex cols(void) {return _Cols;}
     inline void conservativeResize(DenseIndex,DenseIndex,DenseIndex) {}
     inline void resize(DenseIndex,DenseIndex,DenseIndex) {}
     inline const T *data() const { return 0; }
     inline T *data() { return 0; }
 };
 
+// more specializations for null matrices; these are necessary to resolve ambiguities
+template<typename T, int _Options> class DenseStorage<T, 0, Dynamic, Dynamic, _Options>
+: public DenseStorage<T, 0, 0, 0, _Options> { };
+
+template<typename T, int _Rows, int _Options> class DenseStorage<T, 0, _Rows, Dynamic, _Options>
+: public DenseStorage<T, 0, 0, 0, _Options> { };
+
+template<typename T, int _Cols, int _Options> class DenseStorage<T, 0, Dynamic, _Cols, _Options>
+: public DenseStorage<T, 0, 0, 0, _Options> { };
+
 // dynamic-size matrix with fixed-size storage
 template<typename T, int Size, int _Options> class DenseStorage<T, Size, Dynamic, Dynamic, _Options>
 {
@@ -241,7 +253,7 @@ template<typename T, int _Rows, int _Options> class DenseStorage<T, Dynamic, _Ro
     { EIGEN_INTERNAL_DENSE_STORAGE_CTOR_PLUGIN }
     inline ~DenseStorage() { internal::conditional_aligned_delete_auto<T,(_Options&DontAlign)==0>(m_data, _Rows*m_cols); }
     inline void swap(DenseStorage& other) { std::swap(m_data,other.m_data); std::swap(m_cols,other.m_cols); }
-    inline static DenseIndex rows(void) {return _Rows;}
+    static inline DenseIndex rows(void) {return _Rows;}
     inline DenseIndex cols(void) const {return m_cols;}
     inline void conservativeResize(DenseIndex size, DenseIndex, DenseIndex cols)
     {
@@ -278,7 +290,7 @@ template<typename T, int _Cols, int _Options> class DenseStorage<T, Dynamic, Dyn
     inline ~DenseStorage() { internal::conditional_aligned_delete_auto<T,(_Options&DontAlign)==0>(m_data, _Cols*m_rows); }
     inline void swap(DenseStorage& other) { std::swap(m_data,other.m_data); std::swap(m_rows,other.m_rows); }
     inline DenseIndex rows(void) const {return m_rows;}
-    inline static DenseIndex cols(void) {return _Cols;}
+    static inline DenseIndex cols(void) {return _Cols;}
     inline void conservativeResize(DenseIndex size, DenseIndex rows, DenseIndex)
     {
       m_data = internal::conditional_aligned_realloc_new_auto<T,(_Options&DontAlign)==0>(m_data, size, m_rows*_Cols);
@@ -301,4 +313,6 @@ template<typename T, int _Cols, int _Options> class DenseStorage<T, Dynamic, Dyn
     inline T *data() { return m_data; }
 };
 
+} // end namespace Eigen
+
 #endif // EIGEN_MATRIX_H
diff --git a/extern/Eigen3/Eigen/src/Core/Diagonal.h b/extern/Eigen3/Eigen/src/Core/Diagonal.h
index 61d3b063a44..77b765f1530 100644
--- a/extern/Eigen3/Eigen/src/Core/Diagonal.h
+++ b/extern/Eigen3/Eigen/src/Core/Diagonal.h
@@ -2,6 +2,7 @@
 // for linear algebra.
 //
 // Copyright (C) 2007-2009 Benoit Jacob <jacob.benoit.1@gmail.com>
+// Copyright (C) 2009-2010 Gael Guennebaud <gael.guennebaud@inria.fr>
 //
 // Eigen is free software; you can redistribute it and/or
 // modify it under the terms of the GNU Lesser General Public
@@ -25,6 +26,8 @@
 #ifndef EIGEN_DIAGONAL_H
 #define EIGEN_DIAGONAL_H
 
+namespace Eigen { 
+
 /** \class Diagonal
   * \ingroup Core_Module
   *
@@ -101,6 +104,15 @@ template<typename MatrixType, int DiagIndex> class Diagonal
       return 0;
     }
 
+    typedef typename internal::conditional<
+                       internal::is_lvalue<MatrixType>::value,
+                       Scalar,
+                       const Scalar
+                     >::type ScalarWithConstIfNotLvalue;
+
+    inline ScalarWithConstIfNotLvalue* data() { return &(m_matrix.const_cast_derived().coeffRef(rowOffset(), colOffset())); }
+    inline const Scalar* data() const { return &(m_matrix.const_cast_derived().coeffRef(rowOffset(), colOffset())); }
+
     inline Scalar& coeffRef(Index row, Index)
     {
       EIGEN_STATIC_ASSERT_LVALUE(MatrixType)
@@ -133,8 +145,19 @@ template<typename MatrixType, int DiagIndex> class Diagonal
       return m_matrix.coeff(index+rowOffset(), index+colOffset());
     }
 
+    const typename internal::remove_all<typename MatrixType::Nested>::type& 
+    nestedExpression() const 
+    {
+      return m_matrix;
+    }
+
+    int index() const
+    {
+      return m_index.value();
+    }
+
   protected:
-    const typename MatrixType::Nested m_matrix;
+    typename MatrixType::Nested m_matrix;
     const internal::variable_if_dynamic<Index, DiagIndex> m_index;
 
   private:
@@ -224,4 +247,6 @@ MatrixBase<Derived>::diagonal() const
   return derived();
 }
 
+} // end namespace Eigen
+
 #endif // EIGEN_DIAGONAL_H
diff --git a/extern/Eigen3/Eigen/src/Core/DiagonalMatrix.h b/extern/Eigen3/Eigen/src/Core/DiagonalMatrix.h
index f41a74bfae7..844f9864bf0 100644
--- a/extern/Eigen3/Eigen/src/Core/DiagonalMatrix.h
+++ b/extern/Eigen3/Eigen/src/Core/DiagonalMatrix.h
@@ -26,6 +26,8 @@
 #ifndef EIGEN_DIAGONALMATRIX_H
 #define EIGEN_DIAGONALMATRIX_H
 
+namespace Eigen { 
+
 #ifndef EIGEN_PARSED_BY_DOXYGEN
 template<typename Derived>
 class DiagonalBase : public EigenBase<Derived>
@@ -72,7 +74,7 @@ class DiagonalBase : public EigenBase<Derived>
     const DiagonalProduct<MatrixDerived, Derived, OnTheLeft>
     operator*(const MatrixBase<MatrixDerived> &matrix) const;
 
-    inline const DiagonalWrapper<CwiseUnaryOp<internal::scalar_inverse_op<Scalar>, const DiagonalVectorType> >
+    inline const DiagonalWrapper<const CwiseUnaryOp<internal::scalar_inverse_op<Scalar>, const DiagonalVectorType> >
     inverse() const
     {
       return diagonal().cwiseInverse();
@@ -251,13 +253,13 @@ class DiagonalWrapper
     #endif
 
     /** Constructor from expression of diagonal coefficients to wrap. */
-    inline DiagonalWrapper(const DiagonalVectorType& diagonal) : m_diagonal(diagonal) {}
+    inline DiagonalWrapper(DiagonalVectorType& diagonal) : m_diagonal(diagonal) {}
 
     /** \returns a const reference to the wrapped expression of diagonal coefficients. */
     const DiagonalVectorType& diagonal() const { return m_diagonal; }
 
   protected:
-    const typename DiagonalVectorType::Nested m_diagonal;
+    typename DiagonalVectorType::Nested m_diagonal;
 };
 
 /** \returns a pseudo-expression of a diagonal matrix with *this as vector of diagonal coefficients
@@ -303,4 +305,6 @@ bool MatrixBase<Derived>::isDiagonal(RealScalar prec) const
   return true;
 }
 
+} // end namespace Eigen
+
 #endif // EIGEN_DIAGONALMATRIX_H
diff --git a/extern/Eigen3/Eigen/src/Core/DiagonalProduct.h b/extern/Eigen3/Eigen/src/Core/DiagonalProduct.h
index de0c6ed11b7..9f6a998955e 100644
--- a/extern/Eigen3/Eigen/src/Core/DiagonalProduct.h
+++ b/extern/Eigen3/Eigen/src/Core/DiagonalProduct.h
@@ -26,6 +26,8 @@
 #ifndef EIGEN_DIAGONALPRODUCT_H
 #define EIGEN_DIAGONALPRODUCT_H
 
+namespace Eigen { 
+
 namespace internal {
 template<typename MatrixType, typename DiagonalType, int ProductOrder>
 struct traits<DiagonalProduct<MatrixType, DiagonalType, ProductOrder> >
@@ -107,8 +109,8 @@ class DiagonalProduct : internal::no_assignment_operator,
                      m_diagonal.diagonal().template packet<DiagonalVectorPacketLoadMode>(id));
     }
 
-    const typename MatrixType::Nested m_matrix;
-    const typename DiagonalType::Nested m_diagonal;
+    typename MatrixType::Nested m_matrix;
+    typename DiagonalType::Nested m_diagonal;
 };
 
 /** \returns the diagonal matrix product of \c *this by the diagonal matrix \a diagonal.
@@ -131,5 +133,6 @@ DiagonalBase<DiagonalDerived>::operator*(const MatrixBase<MatrixDerived> &matrix
   return DiagonalProduct<MatrixDerived, DiagonalDerived, OnTheLeft>(matrix.derived(), derived());
 }
 
+} // end namespace Eigen
 
 #endif // EIGEN_DIAGONALPRODUCT_H
diff --git a/extern/Eigen3/Eigen/src/Core/Dot.h b/extern/Eigen3/Eigen/src/Core/Dot.h
index 42da7849896..67dbbf8bafb 100644
--- a/extern/Eigen3/Eigen/src/Core/Dot.h
+++ b/extern/Eigen3/Eigen/src/Core/Dot.h
@@ -25,6 +25,8 @@
 #ifndef EIGEN_DOT_H
 #define EIGEN_DOT_H
 
+namespace Eigen { 
+
 namespace internal {
 
 // helper function for dot(). The problem is that if we put that in the body of dot(), then upon calling dot
@@ -176,7 +178,7 @@ template<typename Derived, int p>
 struct lpNorm_selector
 {
   typedef typename NumTraits<typename traits<Derived>::Scalar>::Real RealScalar;
-  inline static RealScalar run(const MatrixBase<Derived>& m)
+  static inline RealScalar run(const MatrixBase<Derived>& m)
   {
     return pow(m.cwiseAbs().array().pow(p).sum(), RealScalar(1)/p);
   }
@@ -185,7 +187,7 @@ struct lpNorm_selector
 template<typename Derived>
 struct lpNorm_selector<Derived, 1>
 {
-  inline static typename NumTraits<typename traits<Derived>::Scalar>::Real run(const MatrixBase<Derived>& m)
+  static inline typename NumTraits<typename traits<Derived>::Scalar>::Real run(const MatrixBase<Derived>& m)
   {
     return m.cwiseAbs().sum();
   }
@@ -194,7 +196,7 @@ struct lpNorm_selector<Derived, 1>
 template<typename Derived>
 struct lpNorm_selector<Derived, 2>
 {
-  inline static typename NumTraits<typename traits<Derived>::Scalar>::Real run(const MatrixBase<Derived>& m)
+  static inline typename NumTraits<typename traits<Derived>::Scalar>::Real run(const MatrixBase<Derived>& m)
   {
     return m.norm();
   }
@@ -203,7 +205,7 @@ struct lpNorm_selector<Derived, 2>
 template<typename Derived>
 struct lpNorm_selector<Derived, Infinity>
 {
-  inline static typename NumTraits<typename traits<Derived>::Scalar>::Real run(const MatrixBase<Derived>& m)
+  static inline typename NumTraits<typename traits<Derived>::Scalar>::Real run(const MatrixBase<Derived>& m)
   {
     return m.cwiseAbs().maxCoeff();
   }
@@ -269,4 +271,6 @@ bool MatrixBase<Derived>::isUnitary(RealScalar prec) const
   return true;
 }
 
+} // end namespace Eigen
+
 #endif // EIGEN_DOT_H
diff --git a/extern/Eigen3/Eigen/src/Core/EigenBase.h b/extern/Eigen3/Eigen/src/Core/EigenBase.h
index 0472539af33..77d4c25d537 100644
--- a/extern/Eigen3/Eigen/src/Core/EigenBase.h
+++ b/extern/Eigen3/Eigen/src/Core/EigenBase.h
@@ -26,6 +26,7 @@
 #ifndef EIGEN_EIGENBASE_H
 #define EIGEN_EIGENBASE_H
 
+namespace Eigen {
 
 /** Common base class for all classes T such that MatrixBase has an operator=(T) and a constructor MatrixBase(T).
   *
@@ -169,4 +170,6 @@ inline void MatrixBase<Derived>::applyOnTheLeft(const EigenBase<OtherDerived> &o
   other.derived().applyThisOnTheLeft(derived());
 }
 
+} // end namespace Eigen
+
 #endif // EIGEN_EIGENBASE_H
diff --git a/extern/Eigen3/Eigen/src/Core/Flagged.h b/extern/Eigen3/Eigen/src/Core/Flagged.h
index 458213ab553..47f411b0579 100644
--- a/extern/Eigen3/Eigen/src/Core/Flagged.h
+++ b/extern/Eigen3/Eigen/src/Core/Flagged.h
@@ -25,6 +25,8 @@
 #ifndef EIGEN_FLAGGED_H
 #define EIGEN_FLAGGED_H
 
+namespace Eigen { 
+
 /** \class Flagged
   * \ingroup Core_Module
   *
@@ -148,4 +150,6 @@ DenseBase<Derived>::flagged() const
   return derived();
 }
 
+} // end namespace Eigen
+
 #endif // EIGEN_FLAGGED_H
diff --git a/extern/Eigen3/Eigen/src/Core/ForceAlignedAccess.h b/extern/Eigen3/Eigen/src/Core/ForceAlignedAccess.h
index 11c1f8f709a..238b7b77013 100644
--- a/extern/Eigen3/Eigen/src/Core/ForceAlignedAccess.h
+++ b/extern/Eigen3/Eigen/src/Core/ForceAlignedAccess.h
@@ -25,6 +25,8 @@
 #ifndef EIGEN_FORCEALIGNEDACCESS_H
 #define EIGEN_FORCEALIGNEDACCESS_H
 
+namespace Eigen {
+
 /** \class ForceAlignedAccess
   * \ingroup Core_Module
   *
@@ -154,4 +156,6 @@ MatrixBase<Derived>::forceAlignedAccessIf()
   return derived();
 }
 
+} // end namespace Eigen
+
 #endif // EIGEN_FORCEALIGNEDACCESS_H
diff --git a/extern/Eigen3/Eigen/src/Core/Functors.h b/extern/Eigen3/Eigen/src/Core/Functors.h
index 54636e0d459..d9ad2e8821e 100644
--- a/extern/Eigen3/Eigen/src/Core/Functors.h
+++ b/extern/Eigen3/Eigen/src/Core/Functors.h
@@ -25,6 +25,8 @@
 #ifndef EIGEN_FUNCTORS_H
 #define EIGEN_FUNCTORS_H
 
+namespace Eigen {
+
 namespace internal {
 
 // associative functors:
@@ -178,6 +180,18 @@ struct functor_traits<scalar_hypot_op<Scalar> > {
   enum { Cost = 5 * NumTraits<Scalar>::MulCost, PacketAccess=0 };
 };
 
+/** \internal
+  * \brief Template functor to compute the pow of two scalars
+  */
+template<typename Scalar, typename OtherScalar> struct scalar_binary_pow_op {
+  EIGEN_EMPTY_STRUCT_CTOR(scalar_binary_pow_op)
+  inline Scalar operator() (const Scalar& a, const OtherScalar& b) const { return internal::pow(a, b); }
+};
+template<typename Scalar, typename OtherScalar>
+struct functor_traits<scalar_binary_pow_op<Scalar,OtherScalar> > {
+  enum { Cost = 5 * NumTraits<Scalar>::MulCost, PacketAccess = false };
+};
+
 // other binary functors:
 
 /** \internal
@@ -220,6 +234,38 @@ struct functor_traits<scalar_quotient_op<Scalar> > {
   };
 };
 
+/** \internal
+  * \brief Template functor to compute the and of two booleans
+  *
+  * \sa class CwiseBinaryOp, ArrayBase::operator&&
+  */
+struct scalar_boolean_and_op {
+  EIGEN_EMPTY_STRUCT_CTOR(scalar_boolean_and_op)
+  EIGEN_STRONG_INLINE bool operator() (const bool& a, const bool& b) const { return a && b; }
+};
+template<> struct functor_traits<scalar_boolean_and_op> {
+  enum {
+    Cost = NumTraits<bool>::AddCost,
+    PacketAccess = false
+  };
+};
+
+/** \internal
+  * \brief Template functor to compute the or of two booleans
+  *
+  * \sa class CwiseBinaryOp, ArrayBase::operator||
+  */
+struct scalar_boolean_or_op {
+  EIGEN_EMPTY_STRUCT_CTOR(scalar_boolean_or_op)
+  EIGEN_STRONG_INLINE bool operator() (const bool& a, const bool& b) const { return a || b; }
+};
+template<> struct functor_traits<scalar_boolean_or_op> {
+  enum {
+    Cost = NumTraits<bool>::AddCost,
+    PacketAccess = false
+  };
+};
+
 // unary functors:
 
 /** \internal
@@ -584,7 +630,7 @@ template <typename Scalar, bool RandomAccess> struct functor_traits< linspaced_o
 template <typename Scalar, bool RandomAccess> struct linspaced_op
 {
   typedef typename packet_traits<Scalar>::type Packet;
-  linspaced_op(Scalar low, Scalar high, int num_steps) : impl(low, (high-low)/(num_steps-1)) {}
+  linspaced_op(Scalar low, Scalar high, int num_steps) : impl((num_steps==1 ? high : low), (num_steps==1 ? Scalar() : (high-low)/(num_steps-1))) {}
 
   template<typename Index>
   EIGEN_STRONG_INLINE const Scalar operator() (Index i) const { return impl(i); }
@@ -782,6 +828,20 @@ struct functor_traits<scalar_pow_op<Scalar> >
 { enum { Cost = 5 * NumTraits<Scalar>::MulCost, PacketAccess = false }; };
 
 /** \internal
+  * \brief Template functor to compute the quotient between a scalar and array entries.
+  * \sa class CwiseUnaryOp, Cwise::inverse()
+  */
+template<typename Scalar>
+struct scalar_inverse_mult_op {
+  scalar_inverse_mult_op(const Scalar& other) : m_other(other) {}
+  inline Scalar operator() (const Scalar& a) const { return m_other / a; }
+  template<typename Packet>
+  inline const Packet packetOp(const Packet& a) const
+  { return internal::pdiv(pset1<Packet>(m_other),a); }
+  Scalar m_other;
+};
+
+/** \internal
   * \brief Template functor to compute the inverse of a scalar
   * \sa class CwiseUnaryOp, Cwise::inverse()
   */
@@ -939,4 +999,6 @@ struct functor_traits<std::binary_compose<T0,T1,T2> >
 
 } // end namespace internal
 
+} // end namespace Eigen
+
 #endif // EIGEN_FUNCTORS_H
diff --git a/extern/Eigen3/Eigen/src/Core/Fuzzy.h b/extern/Eigen3/Eigen/src/Core/Fuzzy.h
index d266eed0ac6..88764116306 100644
--- a/extern/Eigen3/Eigen/src/Core/Fuzzy.h
+++ b/extern/Eigen3/Eigen/src/Core/Fuzzy.h
@@ -26,6 +26,8 @@
 #ifndef EIGEN_FUZZY_H
 #define EIGEN_FUZZY_H
 
+namespace Eigen { 
+
 namespace internal
 {
 
@@ -35,8 +37,8 @@ struct isApprox_selector
   static bool run(const Derived& x, const OtherDerived& y, typename Derived::RealScalar prec)
   {
     using std::min;
-    const typename internal::nested<Derived,2>::type nested(x);
-    const typename internal::nested<OtherDerived,2>::type otherNested(y);
+    typename internal::nested<Derived,2>::type nested(x);
+    typename internal::nested<OtherDerived,2>::type otherNested(y);
     return (nested - otherNested).cwiseAbs2().sum() <= prec * prec * (min)(nested.cwiseAbs2().sum(), otherNested.cwiseAbs2().sum());
   }
 };
@@ -158,4 +160,6 @@ bool DenseBase<Derived>::isMuchSmallerThan(
   return internal::isMuchSmallerThan_object_selector<Derived, OtherDerived>::run(derived(), other.derived(), prec);
 }
 
+} // end namespace Eigen
+
 #endif // EIGEN_FUZZY_H
diff --git a/extern/Eigen3/Eigen/src/Core/GenericPacketMath.h b/extern/Eigen3/Eigen/src/Core/GenericPacketMath.h
index 8ed83532712..d92ac9529d8 100644
--- a/extern/Eigen3/Eigen/src/Core/GenericPacketMath.h
+++ b/extern/Eigen3/Eigen/src/Core/GenericPacketMath.h
@@ -26,6 +26,8 @@
 #ifndef EIGEN_GENERIC_PACKET_MATH_H
 #define EIGEN_GENERIC_PACKET_MATH_H
 
+namespace Eigen {
+
 namespace internal {
 
 /** \internal
@@ -312,7 +314,7 @@ template<int Offset,typename PacketType>
 struct palign_impl
 {
   // by default data are aligned, so there is nothing to be done :)
-  inline static void run(PacketType&, const PacketType&) {}
+  static inline void run(PacketType&, const PacketType&) {}
 };
 
 /** \internal update \a first using the concatenation of the \a Offset last elements
@@ -335,5 +337,7 @@ template<> inline std::complex<double> pmul(const std::complex<double>& a, const
 
 } // end namespace internal
 
+} // end namespace Eigen
+
 #endif // EIGEN_GENERIC_PACKET_MATH_H
 
diff --git a/extern/Eigen3/Eigen/src/Core/GlobalFunctions.h b/extern/Eigen3/Eigen/src/Core/GlobalFunctions.h
index 144145a955c..94605252de3 100644
--- a/extern/Eigen3/Eigen/src/Core/GlobalFunctions.h
+++ b/extern/Eigen3/Eigen/src/Core/GlobalFunctions.h
@@ -66,13 +66,36 @@ namespace std
 
   template<typename Derived>
   inline const Eigen::CwiseUnaryOp<Eigen::internal::scalar_pow_op<typename Derived::Scalar>, const Derived>
-  pow(const Eigen::ArrayBase<Derived>& x, const typename Derived::Scalar& exponent) { \
-    return x.derived().pow(exponent); \
+  pow(const Eigen::ArrayBase<Derived>& x, const typename Derived::Scalar& exponent) {
+    return x.derived().pow(exponent);
+  }
+
+  template<typename Derived>
+  inline const Eigen::CwiseBinaryOp<Eigen::internal::scalar_binary_pow_op<typename Derived::Scalar, typename Derived::Scalar>, const Derived, const Derived>
+  pow(const Eigen::ArrayBase<Derived>& x, const Eigen::ArrayBase<Derived>& exponents) 
+  {
+    return Eigen::CwiseBinaryOp<Eigen::internal::scalar_binary_pow_op<typename Derived::Scalar, typename Derived::Scalar>, const Derived, const Derived>(
+      x.derived(),
+      exponents.derived()
+    );
   }
 }
 
 namespace Eigen
 {
+  /**
+  * \brief Component-wise division of a scalar by array elements.
+  **/
+  template <typename Derived>
+  inline const Eigen::CwiseUnaryOp<Eigen::internal::scalar_inverse_mult_op<typename Derived::Scalar>, const Derived>
+    operator/(typename Derived::Scalar s, const Eigen::ArrayBase<Derived>& a)
+  {
+    return Eigen::CwiseUnaryOp<Eigen::internal::scalar_inverse_mult_op<typename Derived::Scalar>, const Derived>(
+      a.derived(),
+      Eigen::internal::scalar_inverse_mult_op<typename Derived::Scalar>(s)  
+    );
+  }
+
   namespace internal
   {
     EIGEN_ARRAY_DECLARE_GLOBAL_EIGEN_UNARY(real,scalar_real_op)
diff --git a/extern/Eigen3/Eigen/src/Core/IO.h b/extern/Eigen3/Eigen/src/Core/IO.h
index f3cfcdbf4a3..2f1906f2ae0 100644
--- a/extern/Eigen3/Eigen/src/Core/IO.h
+++ b/extern/Eigen3/Eigen/src/Core/IO.h
@@ -26,6 +26,8 @@
 #ifndef EIGEN_IO_H
 #define EIGEN_IO_H
 
+namespace Eigen { 
+
 enum { DontAlignCols = 1 };
 enum { StreamPrecision = -1,
        FullPrecision = -2 };
@@ -171,7 +173,7 @@ std::ostream & print_matrix(std::ostream & s, const Derived& _m, const IOFormat&
     return s;
   }
   
-  const typename Derived::Nested m = _m;
+  typename Derived::Nested m = _m;
   typedef typename Derived::Scalar Scalar;
   typedef typename Derived::Index Index;
 
@@ -257,4 +259,6 @@ std::ostream & operator <<
   return internal::print_matrix(s, m.eval(), EIGEN_DEFAULT_IO_FORMAT);
 }
 
+} // end namespace Eigen
+
 #endif // EIGEN_IO_H
diff --git a/extern/Eigen3/Eigen/src/Core/Map.h b/extern/Eigen3/Eigen/src/Core/Map.h
index 2bf80b3af3d..360a2280e6b 100644
--- a/extern/Eigen3/Eigen/src/Core/Map.h
+++ b/extern/Eigen3/Eigen/src/Core/Map.h
@@ -26,6 +26,8 @@
 #ifndef EIGEN_MAP_H
 #define EIGEN_MAP_H
 
+namespace Eigen { 
+
 /** \class Map
   * \ingroup Core_Module
   *
@@ -200,4 +202,6 @@ inline Matrix<_Scalar, _Rows, _Cols, _Options, _MaxRows, _MaxCols>
   this->_set_noalias(Eigen::Map<const Matrix>(data));
 }
 
+} // end namespace Eigen
+
 #endif // EIGEN_MAP_H
diff --git a/extern/Eigen3/Eigen/src/Core/MapBase.h b/extern/Eigen3/Eigen/src/Core/MapBase.h
index 9426e2d24dd..2b736cb74d8 100644
--- a/extern/Eigen3/Eigen/src/Core/MapBase.h
+++ b/extern/Eigen3/Eigen/src/Core/MapBase.h
@@ -30,6 +30,7 @@
       EIGEN_STATIC_ASSERT((int(internal::traits<Derived>::Flags) & LinearAccessBit) || Derived::IsVectorAtCompileTime, \
                           YOU_ARE_TRYING_TO_USE_AN_INDEX_BASED_ACCESSOR_ON_AN_EXPRESSION_THAT_DOES_NOT_SUPPORT_THAT)
 
+namespace Eigen { 
 
 /** \class MapBase
   * \ingroup Core_Module
@@ -251,5 +252,6 @@ template<typename Derived> class MapBase<Derived, WriteAccessors>
     using Base::Base::operator=;
 };
 
+} // end namespace Eigen
 
 #endif // EIGEN_MAPBASE_H
diff --git a/extern/Eigen3/Eigen/src/Core/MathFunctions.h b/extern/Eigen3/Eigen/src/Core/MathFunctions.h
index 2b454db21e9..ab153c1eb75 100644
--- a/extern/Eigen3/Eigen/src/Core/MathFunctions.h
+++ b/extern/Eigen3/Eigen/src/Core/MathFunctions.h
@@ -25,6 +25,8 @@
 #ifndef EIGEN_MATHFUNCTIONS_H
 #define EIGEN_MATHFUNCTIONS_H
 
+namespace Eigen {
+
 namespace internal {
 
 /** \internal \struct global_math_functions_filtering_base
@@ -309,8 +311,7 @@ struct abs2_impl<std::complex<RealScalar> >
 {
   static inline RealScalar run(const std::complex<RealScalar>& x)
   {
-    using std::norm;
-    return norm(x);
+    return real(x)*real(x) + imag(x)*imag(x);
   }
 };
 
@@ -553,7 +554,7 @@ struct pow_default_impl<Scalar, true>
 {
   static inline Scalar run(Scalar x, Scalar y)
   {
-    Scalar res = 1;
+    Scalar res(1);
     eigen_assert(!NumTraits<Scalar>::IsSigned || y >= 0);
     if(y & 1) res *= x;
     y >>= 1;
@@ -838,6 +839,19 @@ template<> struct scalar_fuzzy_impl<bool>
   
 };
 
+/****************************************************************************
+* Special functions                                                          *
+****************************************************************************/
+
+// std::isfinite is non standard, so let's define our own version,
+// even though it is not very efficient.
+template<typename T> bool isfinite(const T& x)
+{
+  return x<NumTraits<T>::highest() && x>NumTraits<T>::lowest();
+}
+
 } // end namespace internal
 
+} // end namespace Eigen
+
 #endif // EIGEN_MATHFUNCTIONS_H
diff --git a/extern/Eigen3/Eigen/src/Core/Matrix.h b/extern/Eigen3/Eigen/src/Core/Matrix.h
index 982c9256af0..8742a0130d6 100644
--- a/extern/Eigen3/Eigen/src/Core/Matrix.h
+++ b/extern/Eigen3/Eigen/src/Core/Matrix.h
@@ -26,6 +26,8 @@
 #ifndef EIGEN_MATRIX_H
 #define EIGEN_MATRIX_H
 
+namespace Eigen {
+
 /** \class Matrix
   * \ingroup Core_Module
   *
@@ -411,25 +413,8 @@ EIGEN_MAKE_TYPEDEFS_ALL_SIZES(std::complex<double>, cd)
 
 #undef EIGEN_MAKE_TYPEDEFS_ALL_SIZES
 #undef EIGEN_MAKE_TYPEDEFS
+#undef EIGEN_MAKE_FIXED_TYPEDEFS
 
-#undef EIGEN_MAKE_TYPEDEFS_LARGE
-
-#define EIGEN_USING_MATRIX_TYPEDEFS_FOR_TYPE_AND_SIZE(TypeSuffix, SizeSuffix) \
-using Eigen::Matrix##SizeSuffix##TypeSuffix; \
-using Eigen::Vector##SizeSuffix##TypeSuffix; \
-using Eigen::RowVector##SizeSuffix##TypeSuffix;
-
-#define EIGEN_USING_MATRIX_TYPEDEFS_FOR_TYPE(TypeSuffix) \
-EIGEN_USING_MATRIX_TYPEDEFS_FOR_TYPE_AND_SIZE(TypeSuffix, 2) \
-EIGEN_USING_MATRIX_TYPEDEFS_FOR_TYPE_AND_SIZE(TypeSuffix, 3) \
-EIGEN_USING_MATRIX_TYPEDEFS_FOR_TYPE_AND_SIZE(TypeSuffix, 4) \
-EIGEN_USING_MATRIX_TYPEDEFS_FOR_TYPE_AND_SIZE(TypeSuffix, X) \
-
-#define EIGEN_USING_MATRIX_TYPEDEFS \
-EIGEN_USING_MATRIX_TYPEDEFS_FOR_TYPE(i) \
-EIGEN_USING_MATRIX_TYPEDEFS_FOR_TYPE(f) \
-EIGEN_USING_MATRIX_TYPEDEFS_FOR_TYPE(d) \
-EIGEN_USING_MATRIX_TYPEDEFS_FOR_TYPE(cf) \
-EIGEN_USING_MATRIX_TYPEDEFS_FOR_TYPE(cd)
+} // end namespace Eigen
 
 #endif // EIGEN_MATRIX_H
diff --git a/extern/Eigen3/Eigen/src/Core/MatrixBase.h b/extern/Eigen3/Eigen/src/Core/MatrixBase.h
index 62877bce09e..5a744c5ecb2 100644
--- a/extern/Eigen3/Eigen/src/Core/MatrixBase.h
+++ b/extern/Eigen3/Eigen/src/Core/MatrixBase.h
@@ -26,6 +26,8 @@
 #ifndef EIGEN_MATRIXBASE_H
 #define EIGEN_MATRIXBASE_H
 
+namespace Eigen {
+
 /** \class MatrixBase
   * \ingroup Core_Module
   *
@@ -250,8 +252,7 @@ template<typename Derived> class MatrixBase
     
     // huuuge hack. make Eigen2's matrix.part<Diagonal>() work in eigen3. Problem: Diagonal is now a class template instead
     // of an integer constant. Solution: overload the part() method template wrt template parameters list.
-    // Note: replacing next line by "template<template<typename T, int n> class U>" produces a mysterious error C2082 in MSVC.
-    template<template<typename, int> class U>
+    template<template<typename T, int n> class U>
     const DiagonalWrapper<ConstDiagonalReturnType> part() const
     { return diagonal().asDiagonal(); }
     #endif // EIGEN2_SUPPORT
@@ -331,7 +332,7 @@ template<typename Derived> class MatrixBase
     /** \returns an \link ArrayBase Array \endlink expression of this matrix
       * \sa ArrayBase::matrix() */
     ArrayWrapper<Derived> array() { return derived(); }
-    const ArrayWrapper<Derived> array() const { return derived(); }
+    const ArrayWrapper<const Derived> array() const { return derived(); }
 
 /////////// LU module ///////////
 
@@ -466,6 +467,8 @@ template<typename Derived> class MatrixBase
     const MatrixFunctionReturnValue<Derived> sinh() const;
     const MatrixFunctionReturnValue<Derived> cos() const;
     const MatrixFunctionReturnValue<Derived> sin() const;
+    const MatrixSquareRootReturnValue<Derived> sqrt() const;
+    const MatrixLogarithmReturnValue<Derived> log() const;
 
 #ifdef EIGEN2_SUPPORT
     template<typename ProductDerived, typename Lhs, typename Rhs>
@@ -512,10 +515,12 @@ template<typename Derived> class MatrixBase
   protected:
     // mixing arrays and matrices is not legal
     template<typename OtherDerived> Derived& operator+=(const ArrayBase<OtherDerived>& )
-    {EIGEN_STATIC_ASSERT(sizeof(typename OtherDerived::Scalar)==-1,YOU_CANNOT_MIX_ARRAYS_AND_MATRICES);}
+    {EIGEN_STATIC_ASSERT(std::ptrdiff_t(sizeof(typename OtherDerived::Scalar))==-1,YOU_CANNOT_MIX_ARRAYS_AND_MATRICES); return *this;}
     // mixing arrays and matrices is not legal
     template<typename OtherDerived> Derived& operator-=(const ArrayBase<OtherDerived>& )
-    {EIGEN_STATIC_ASSERT(sizeof(typename OtherDerived::Scalar)==-1,YOU_CANNOT_MIX_ARRAYS_AND_MATRICES);}
+    {EIGEN_STATIC_ASSERT(std::ptrdiff_t(sizeof(typename OtherDerived::Scalar))==-1,YOU_CANNOT_MIX_ARRAYS_AND_MATRICES); return *this;}
 };
 
+} // end namespace Eigen
+
 #endif // EIGEN_MATRIXBASE_H
diff --git a/extern/Eigen3/Eigen/src/Core/NestByValue.h b/extern/Eigen3/Eigen/src/Core/NestByValue.h
index a6104d2a426..cfe3e79904e 100644
--- a/extern/Eigen3/Eigen/src/Core/NestByValue.h
+++ b/extern/Eigen3/Eigen/src/Core/NestByValue.h
@@ -26,6 +26,8 @@
 #ifndef EIGEN_NESTBYVALUE_H
 #define EIGEN_NESTBYVALUE_H
 
+namespace Eigen {
+
 /** \class NestByValue
   * \ingroup Core_Module
   *
@@ -119,4 +121,6 @@ DenseBase<Derived>::nestByValue() const
   return NestByValue<Derived>(derived());
 }
 
+} // end namespace Eigen
+
 #endif // EIGEN_NESTBYVALUE_H
diff --git a/extern/Eigen3/Eigen/src/Core/NoAlias.h b/extern/Eigen3/Eigen/src/Core/NoAlias.h
index da64affcf9a..5278cfb73d3 100644
--- a/extern/Eigen3/Eigen/src/Core/NoAlias.h
+++ b/extern/Eigen3/Eigen/src/Core/NoAlias.h
@@ -25,6 +25,8 @@
 #ifndef EIGEN_NOALIAS_H
 #define EIGEN_NOALIAS_H
 
+namespace Eigen {
+
 /** \class NoAlias
   * \ingroup Core_Module
   *
@@ -133,4 +135,6 @@ NoAlias<Derived,MatrixBase> MatrixBase<Derived>::noalias()
   return derived();
 }
 
+} // end namespace Eigen
+
 #endif // EIGEN_NOALIAS_H
diff --git a/extern/Eigen3/Eigen/src/Core/NumTraits.h b/extern/Eigen3/Eigen/src/Core/NumTraits.h
index 73ef05dfe7a..e8867235e65 100644
--- a/extern/Eigen3/Eigen/src/Core/NumTraits.h
+++ b/extern/Eigen3/Eigen/src/Core/NumTraits.h
@@ -25,6 +25,8 @@
 #ifndef EIGEN_NUMTRAITS_H
 #define EIGEN_NUMTRAITS_H
 
+namespace Eigen {
+
 /** \class NumTraits
   * \ingroup Core_Module
   *
@@ -81,14 +83,14 @@ template<typename T> struct GenericNumTraits
                    >::type NonInteger;
   typedef T Nested;
 
-  inline static Real epsilon() { return std::numeric_limits<T>::epsilon(); }
-  inline static Real dummy_precision()
+  static inline Real epsilon() { return std::numeric_limits<T>::epsilon(); }
+  static inline Real dummy_precision()
   {
     // make sure to override this for floating-point types
     return Real(0);
   }
-  inline static T highest() { return (std::numeric_limits<T>::max)(); }
-  inline static T lowest()  { return IsInteger ? (std::numeric_limits<T>::min)() : (-(std::numeric_limits<T>::max)()); }
+  static inline T highest() { return (std::numeric_limits<T>::max)(); }
+  static inline T lowest()  { return IsInteger ? (std::numeric_limits<T>::min)() : (-(std::numeric_limits<T>::max)()); }
   
 #ifdef EIGEN2_SUPPORT
   enum {
@@ -104,12 +106,12 @@ template<typename T> struct NumTraits : GenericNumTraits<T>
 template<> struct NumTraits<float>
   : GenericNumTraits<float>
 {
-  inline static float dummy_precision() { return 1e-5f; }
+  static inline float dummy_precision() { return 1e-5f; }
 };
 
 template<> struct NumTraits<double> : GenericNumTraits<double>
 {
-  inline static double dummy_precision() { return 1e-12; }
+  static inline double dummy_precision() { return 1e-12; }
 };
 
 template<> struct NumTraits<long double>
@@ -130,8 +132,8 @@ template<typename _Real> struct NumTraits<std::complex<_Real> >
     MulCost = 4 * NumTraits<Real>::MulCost + 2 * NumTraits<Real>::AddCost
   };
 
-  inline static Real epsilon() { return NumTraits<Real>::epsilon(); }
-  inline static Real dummy_precision() { return NumTraits<Real>::dummy_precision(); }
+  static inline Real epsilon() { return NumTraits<Real>::epsilon(); }
+  static inline Real dummy_precision() { return NumTraits<Real>::dummy_precision(); }
 };
 
 template<typename Scalar, int Rows, int Cols, int Options, int MaxRows, int MaxCols>
@@ -155,6 +157,6 @@ struct NumTraits<Array<Scalar, Rows, Cols, Options, MaxRows, MaxCols> >
   };
 };
 
-
+} // end namespace Eigen
 
 #endif // EIGEN_NUMTRAITS_H
diff --git a/extern/Eigen3/Eigen/src/Core/PermutationMatrix.h b/extern/Eigen3/Eigen/src/Core/PermutationMatrix.h
index a064e053e51..e0d618dfb89 100644
--- a/extern/Eigen3/Eigen/src/Core/PermutationMatrix.h
+++ b/extern/Eigen3/Eigen/src/Core/PermutationMatrix.h
@@ -26,6 +26,8 @@
 #ifndef EIGEN_PERMUTATIONMATRIX_H
 #define EIGEN_PERMUTATIONMATRIX_H
 
+namespace Eigen { 
+
 template<int RowCol,typename IndicesType,typename MatrixType, typename StorageKind> class PermutedImpl;
 
 /** \class PermutationBase
@@ -56,6 +58,8 @@ namespace internal {
 
 template<typename PermutationType, typename MatrixType, int Side, bool Transposed=false>
 struct permut_matrix_product_retval;
+template<typename PermutationType, typename MatrixType, int Side, bool Transposed=false>
+struct permut_sparsematrix_product_retval;
 enum PermPermProduct_t {PermPermProduct};
 
 } // end namespace internal
@@ -511,7 +515,7 @@ class PermutationWrapper : public PermutationBase<PermutationWrapper<_IndicesTyp
 
   protected:
 
-    const typename IndicesType::Nested m_indices;
+    typename IndicesType::Nested m_indices;
 };
 
 /** \returns the matrix with the permutation applied to the columns.
@@ -608,7 +612,7 @@ struct permut_matrix_product_retval
 
   protected:
     const PermutationType& m_permutation;
-    const typename MatrixType::Nested m_matrix;
+    typename MatrixType::Nested m_matrix;
 };
 
 /* Template partial specialization for transposed/inverse permutations */
@@ -693,4 +697,6 @@ const PermutationWrapper<const Derived> MatrixBase<Derived>::asPermutation() con
   return derived();
 }
 
+} // end namespace Eigen
+
 #endif // EIGEN_PERMUTATIONMATRIX_H
diff --git a/extern/Eigen3/Eigen/src/Core/PlainObjectBase.h b/extern/Eigen3/Eigen/src/Core/PlainObjectBase.h
index 612254e9da9..baab5653619 100644
--- a/extern/Eigen3/Eigen/src/Core/PlainObjectBase.h
+++ b/extern/Eigen3/Eigen/src/Core/PlainObjectBase.h
@@ -32,6 +32,8 @@
 # define EIGEN_INITIALIZE_BY_ZERO_IF_THAT_OPTION_IS_ENABLED
 #endif
 
+namespace Eigen {
+
 namespace internal {
 
 template<typename Index>
@@ -53,7 +55,7 @@ template<typename MatrixTypeA, typename MatrixTypeB, bool SwapPointers> struct m
 
 } // end namespace internal
 
-/**
+/** \class PlainObjectBase
   * \brief %Dense storage base class for matrices and arrays.
   *
   * This class can be extended with the help of the plugin mechanism described on the page
@@ -61,8 +63,29 @@ template<typename MatrixTypeA, typename MatrixTypeB, bool SwapPointers> struct m
   *
   * \sa \ref TopicClassHierarchy
   */
+#ifdef EIGEN_PARSED_BY_DOXYGEN
+namespace internal {
+
+// this is a warkaround to doxygen not being able to understand the inheritence logic
+// when it is hidden by the dense_xpr_base helper struct.
+template<typename Derived> struct dense_xpr_base_dispatcher_for_doxygen;// : public MatrixBase<Derived> {};
+/** This class is just a workaround for Doxygen and it does not not actually exist. */
+template<typename _Scalar, int _Rows, int _Cols, int _Options, int _MaxRows, int _MaxCols>
+struct dense_xpr_base_dispatcher_for_doxygen<Matrix<_Scalar, _Rows, _Cols, _Options, _MaxRows, _MaxCols> >
+    : public MatrixBase<Matrix<_Scalar, _Rows, _Cols, _Options, _MaxRows, _MaxCols> > {};
+/** This class is just a workaround for Doxygen and it does not not actually exist. */
+template<typename _Scalar, int _Rows, int _Cols, int _Options, int _MaxRows, int _MaxCols>
+struct dense_xpr_base_dispatcher_for_doxygen<Array<_Scalar, _Rows, _Cols, _Options, _MaxRows, _MaxCols> >
+    : public ArrayBase<Array<_Scalar, _Rows, _Cols, _Options, _MaxRows, _MaxCols> > {};
+
+} // namespace internal
+
+template<typename Derived>
+class PlainObjectBase : public internal::dense_xpr_base_dispatcher_for_doxygen<Derived>
+#else
 template<typename Derived>
 class PlainObjectBase : public internal::dense_xpr_base<Derived>::type
+#endif
 {
   public:
     enum { Options = internal::traits<Derived>::Options };
@@ -443,68 +466,68 @@ class PlainObjectBase : public internal::dense_xpr_base<Derived>::type
       * \see class Map
       */
     //@{
-    inline static ConstMapType Map(const Scalar* data)
+    static inline ConstMapType Map(const Scalar* data)
     { return ConstMapType(data); }
-    inline static MapType Map(Scalar* data)
+    static inline MapType Map(Scalar* data)
     { return MapType(data); }
-    inline static ConstMapType Map(const Scalar* data, Index size)
+    static inline ConstMapType Map(const Scalar* data, Index size)
     { return ConstMapType(data, size); }
-    inline static MapType Map(Scalar* data, Index size)
+    static inline MapType Map(Scalar* data, Index size)
     { return MapType(data, size); }
-    inline static ConstMapType Map(const Scalar* data, Index rows, Index cols)
+    static inline ConstMapType Map(const Scalar* data, Index rows, Index cols)
     { return ConstMapType(data, rows, cols); }
-    inline static MapType Map(Scalar* data, Index rows, Index cols)
+    static inline MapType Map(Scalar* data, Index rows, Index cols)
     { return MapType(data, rows, cols); }
 
-    inline static ConstAlignedMapType MapAligned(const Scalar* data)
+    static inline ConstAlignedMapType MapAligned(const Scalar* data)
     { return ConstAlignedMapType(data); }
-    inline static AlignedMapType MapAligned(Scalar* data)
+    static inline AlignedMapType MapAligned(Scalar* data)
     { return AlignedMapType(data); }
-    inline static ConstAlignedMapType MapAligned(const Scalar* data, Index size)
+    static inline ConstAlignedMapType MapAligned(const Scalar* data, Index size)
     { return ConstAlignedMapType(data, size); }
-    inline static AlignedMapType MapAligned(Scalar* data, Index size)
+    static inline AlignedMapType MapAligned(Scalar* data, Index size)
     { return AlignedMapType(data, size); }
-    inline static ConstAlignedMapType MapAligned(const Scalar* data, Index rows, Index cols)
+    static inline ConstAlignedMapType MapAligned(const Scalar* data, Index rows, Index cols)
     { return ConstAlignedMapType(data, rows, cols); }
-    inline static AlignedMapType MapAligned(Scalar* data, Index rows, Index cols)
+    static inline AlignedMapType MapAligned(Scalar* data, Index rows, Index cols)
     { return AlignedMapType(data, rows, cols); }
 
     template<int Outer, int Inner>
-    inline static typename StridedConstMapType<Stride<Outer, Inner> >::type Map(const Scalar* data, const Stride<Outer, Inner>& stride)
+    static inline typename StridedConstMapType<Stride<Outer, Inner> >::type Map(const Scalar* data, const Stride<Outer, Inner>& stride)
     { return typename StridedConstMapType<Stride<Outer, Inner> >::type(data, stride); }
     template<int Outer, int Inner>
-    inline static typename StridedMapType<Stride<Outer, Inner> >::type Map(Scalar* data, const Stride<Outer, Inner>& stride)
+    static inline typename StridedMapType<Stride<Outer, Inner> >::type Map(Scalar* data, const Stride<Outer, Inner>& stride)
     { return typename StridedMapType<Stride<Outer, Inner> >::type(data, stride); }
     template<int Outer, int Inner>
-    inline static typename StridedConstMapType<Stride<Outer, Inner> >::type Map(const Scalar* data, Index size, const Stride<Outer, Inner>& stride)
+    static inline typename StridedConstMapType<Stride<Outer, Inner> >::type Map(const Scalar* data, Index size, const Stride<Outer, Inner>& stride)
     { return typename StridedConstMapType<Stride<Outer, Inner> >::type(data, size, stride); }
     template<int Outer, int Inner>
-    inline static typename StridedMapType<Stride<Outer, Inner> >::type Map(Scalar* data, Index size, const Stride<Outer, Inner>& stride)
+    static inline typename StridedMapType<Stride<Outer, Inner> >::type Map(Scalar* data, Index size, const Stride<Outer, Inner>& stride)
     { return typename StridedMapType<Stride<Outer, Inner> >::type(data, size, stride); }
     template<int Outer, int Inner>
-    inline static typename StridedConstMapType<Stride<Outer, Inner> >::type Map(const Scalar* data, Index rows, Index cols, const Stride<Outer, Inner>& stride)
+    static inline typename StridedConstMapType<Stride<Outer, Inner> >::type Map(const Scalar* data, Index rows, Index cols, const Stride<Outer, Inner>& stride)
     { return typename StridedConstMapType<Stride<Outer, Inner> >::type(data, rows, cols, stride); }
     template<int Outer, int Inner>
-    inline static typename StridedMapType<Stride<Outer, Inner> >::type Map(Scalar* data, Index rows, Index cols, const Stride<Outer, Inner>& stride)
+    static inline typename StridedMapType<Stride<Outer, Inner> >::type Map(Scalar* data, Index rows, Index cols, const Stride<Outer, Inner>& stride)
     { return typename StridedMapType<Stride<Outer, Inner> >::type(data, rows, cols, stride); }
 
     template<int Outer, int Inner>
-    inline static typename StridedConstAlignedMapType<Stride<Outer, Inner> >::type MapAligned(const Scalar* data, const Stride<Outer, Inner>& stride)
+    static inline typename StridedConstAlignedMapType<Stride<Outer, Inner> >::type MapAligned(const Scalar* data, const Stride<Outer, Inner>& stride)
     { return typename StridedConstAlignedMapType<Stride<Outer, Inner> >::type(data, stride); }
     template<int Outer, int Inner>
-    inline static typename StridedAlignedMapType<Stride<Outer, Inner> >::type MapAligned(Scalar* data, const Stride<Outer, Inner>& stride)
+    static inline typename StridedAlignedMapType<Stride<Outer, Inner> >::type MapAligned(Scalar* data, const Stride<Outer, Inner>& stride)
     { return typename StridedAlignedMapType<Stride<Outer, Inner> >::type(data, stride); }
     template<int Outer, int Inner>
-    inline static typename StridedConstAlignedMapType<Stride<Outer, Inner> >::type MapAligned(const Scalar* data, Index size, const Stride<Outer, Inner>& stride)
+    static inline typename StridedConstAlignedMapType<Stride<Outer, Inner> >::type MapAligned(const Scalar* data, Index size, const Stride<Outer, Inner>& stride)
     { return typename StridedConstAlignedMapType<Stride<Outer, Inner> >::type(data, size, stride); }
     template<int Outer, int Inner>
-    inline static typename StridedAlignedMapType<Stride<Outer, Inner> >::type MapAligned(Scalar* data, Index size, const Stride<Outer, Inner>& stride)
+    static inline typename StridedAlignedMapType<Stride<Outer, Inner> >::type MapAligned(Scalar* data, Index size, const Stride<Outer, Inner>& stride)
     { return typename StridedAlignedMapType<Stride<Outer, Inner> >::type(data, size, stride); }
     template<int Outer, int Inner>
-    inline static typename StridedConstAlignedMapType<Stride<Outer, Inner> >::type MapAligned(const Scalar* data, Index rows, Index cols, const Stride<Outer, Inner>& stride)
+    static inline typename StridedConstAlignedMapType<Stride<Outer, Inner> >::type MapAligned(const Scalar* data, Index rows, Index cols, const Stride<Outer, Inner>& stride)
     { return typename StridedConstAlignedMapType<Stride<Outer, Inner> >::type(data, rows, cols, stride); }
     template<int Outer, int Inner>
-    inline static typename StridedAlignedMapType<Stride<Outer, Inner> >::type MapAligned(Scalar* data, Index rows, Index cols, const Stride<Outer, Inner>& stride)
+    static inline typename StridedAlignedMapType<Stride<Outer, Inner> >::type MapAligned(Scalar* data, Index rows, Index cols, const Stride<Outer, Inner>& stride)
     { return typename StridedAlignedMapType<Stride<Outer, Inner> >::type(data, rows, cols, stride); }
     //@}
 
@@ -594,6 +617,9 @@ class PlainObjectBase : public internal::dense_xpr_base<Derived>::type
     template<typename T0, typename T1>
     EIGEN_STRONG_INLINE void _init2(Index rows, Index cols, typename internal::enable_if<Base::SizeAtCompileTime!=2,T0>::type* = 0)
     {
+      EIGEN_STATIC_ASSERT(bool(NumTraits<T0>::IsInteger) &&
+                          bool(NumTraits<T1>::IsInteger),
+                          FLOATING_POINT_ARGUMENT_PASSED__INTEGER_WAS_EXPECTED)
       eigen_assert(rows >= 0 && (RowsAtCompileTime == Dynamic || RowsAtCompileTime == rows)
              && cols >= 0 && (ColsAtCompileTime == Dynamic || ColsAtCompileTime == cols));
       internal::check_rows_cols_for_overflow(rows, cols);      
@@ -623,7 +649,7 @@ class PlainObjectBase : public internal::dense_xpr_base<Derived>::type
 
   public:
 #ifndef EIGEN_PARSED_BY_DOXYGEN
-    EIGEN_STRONG_INLINE static void _check_template_params()
+    static EIGEN_STRONG_INLINE void _check_template_params()
     {
       EIGEN_STATIC_ASSERT((EIGEN_IMPLIES(MaxRowsAtCompileTime==1 && MaxColsAtCompileTime!=1, (Options&RowMajor)==RowMajor)
                         && EIGEN_IMPLIES(MaxColsAtCompileTime==1 && MaxRowsAtCompileTime!=1, (Options&RowMajor)==0)
@@ -751,4 +777,6 @@ struct matrix_swap_impl<MatrixTypeA, MatrixTypeB, true>
 
 } // end namespace internal
 
+} // end namespace Eigen
+
 #endif // EIGEN_DENSESTORAGEBASE_H
diff --git a/extern/Eigen3/Eigen/src/Core/Product.h b/extern/Eigen3/Eigen/src/Core/Product.h
index e2035b242b1..53eb0fbaed0 100644
--- a/extern/Eigen3/Eigen/src/Core/Product.h
+++ b/extern/Eigen3/Eigen/src/Core/Product.h
@@ -1,8 +1,7 @@
 // This file is part of Eigen, a lightweight C++ template library
 // for linear algebra.
 //
-// Copyright (C) 2006-2008 Benoit Jacob <jacob.benoit.1@gmail.com>
-// Copyright (C) 2008 Gael Guennebaud <gael.guennebaud@inria.fr>
+// Copyright (C) 2008-2011 Gael Guennebaud <gael.guennebaud@inria.fr>
 //
 // Eigen is free software; you can redistribute it and/or
 // modify it under the terms of the GNU Lesser General Public
@@ -26,600 +25,89 @@
 #ifndef EIGEN_PRODUCT_H
 #define EIGEN_PRODUCT_H
 
-/** \class GeneralProduct
+template<typename Lhs, typename Rhs> class Product;
+template<typename Lhs, typename Rhs, typename StorageKind> class ProductImpl;
+
+/** \class Product
   * \ingroup Core_Module
   *
-  * \brief Expression of the product of two general matrices or vectors
+  * \brief Expression of the product of two arbitrary matrices or vectors
   *
-  * \param LhsNested the type used to store the left-hand side
-  * \param RhsNested the type used to store the right-hand side
-  * \param ProductMode the type of the product
+  * \param Lhs the type of the left-hand side expression
+  * \param Rhs the type of the right-hand side expression
   *
-  * This class represents an expression of the product of two general matrices.
-  * We call a general matrix, a dense matrix with full storage. For instance,
-  * This excludes triangular, selfadjoint, and sparse matrices.
-  * It is the return type of the operator* between general matrices. Its template
-  * arguments are determined automatically by ProductReturnType. Therefore,
-  * GeneralProduct should never be used direclty. To determine the result type of a
-  * function which involves a matrix product, use ProductReturnType::Type.
+  * This class represents an expression of the product of two arbitrary matrices.
   *
-  * \sa ProductReturnType, MatrixBase::operator*(const MatrixBase<OtherDerived>&)
   */
-template<typename Lhs, typename Rhs, int ProductType = internal::product_type<Lhs,Rhs>::value>
-class GeneralProduct;
-
-enum {
-  Large = 2,
-  Small = 3
-};
 
 namespace internal {
-
-template<int Rows, int Cols, int Depth> struct product_type_selector;
-
-template<int Size, int MaxSize> struct product_size_category
-{
-  enum { is_large = MaxSize == Dynamic ||
-                    Size >= EIGEN_CACHEFRIENDLY_PRODUCT_THRESHOLD,
-         value = is_large  ? Large
-               : Size == 1 ? 1
-                           : Small
-  };
-};
-
-template<typename Lhs, typename Rhs> struct product_type
-{
-  typedef typename remove_all<Lhs>::type _Lhs;
-  typedef typename remove_all<Rhs>::type _Rhs;
-  enum {
-    MaxRows  = _Lhs::MaxRowsAtCompileTime,
-    Rows  = _Lhs::RowsAtCompileTime,
-    MaxCols  = _Rhs::MaxColsAtCompileTime,
-    Cols  = _Rhs::ColsAtCompileTime,
-    MaxDepth = EIGEN_SIZE_MIN_PREFER_FIXED(_Lhs::MaxColsAtCompileTime,
-                                           _Rhs::MaxRowsAtCompileTime),
-    Depth = EIGEN_SIZE_MIN_PREFER_FIXED(_Lhs::ColsAtCompileTime,
-                                        _Rhs::RowsAtCompileTime),
-    LargeThreshold = EIGEN_CACHEFRIENDLY_PRODUCT_THRESHOLD
-  };
-
-  // the splitting into different lines of code here, introducing the _select enums and the typedef below,
-  // is to work around an internal compiler error with gcc 4.1 and 4.2.
-private:
-  enum {
-    rows_select = product_size_category<Rows,MaxRows>::value,
-    cols_select = product_size_category<Cols,MaxCols>::value,
-    depth_select = product_size_category<Depth,MaxDepth>::value
-  };
-  typedef product_type_selector<rows_select, cols_select, depth_select> selector;
-
-public:
+template<typename Lhs, typename Rhs>
+struct traits<Product<Lhs, Rhs> >
+{
+  typedef MatrixXpr XprKind;
+  typedef typename remove_all<Lhs>::type LhsCleaned;
+  typedef typename remove_all<Rhs>::type RhsCleaned;
+  typedef typename scalar_product_traits<typename traits<LhsCleaned>::Scalar, typename traits<RhsCleaned>::Scalar>::ReturnType Scalar;
+  typedef typename promote_storage_type<typename traits<LhsCleaned>::StorageKind,
+                                        typename traits<RhsCleaned>::StorageKind>::ret StorageKind;
+  typedef typename promote_index_type<typename traits<LhsCleaned>::Index,
+                                      typename traits<RhsCleaned>::Index>::type Index;
   enum {
-    value = selector::ret
+    RowsAtCompileTime = LhsCleaned::RowsAtCompileTime,
+    ColsAtCompileTime = RhsCleaned::ColsAtCompileTime,
+    MaxRowsAtCompileTime = LhsCleaned::MaxRowsAtCompileTime,
+    MaxColsAtCompileTime = RhsCleaned::MaxColsAtCompileTime,
+    Flags = (MaxRowsAtCompileTime==1 ? RowMajorBit : 0), // TODO should be no storage order
+    CoeffReadCost = 0 // TODO CoeffReadCost should not be part of the expression traits
   };
-#ifdef EIGEN_DEBUG_PRODUCT
-  static void debug()
-  {
-      EIGEN_DEBUG_VAR(Rows);
-      EIGEN_DEBUG_VAR(Cols);
-      EIGEN_DEBUG_VAR(Depth);
-      EIGEN_DEBUG_VAR(rows_select);
-      EIGEN_DEBUG_VAR(cols_select);
-      EIGEN_DEBUG_VAR(depth_select);
-      EIGEN_DEBUG_VAR(value);
-  }
-#endif
 };
-
-
-/* The following allows to select the kind of product at compile time
- * based on the three dimensions of the product.
- * This is a compile time mapping from {1,Small,Large}^3 -> {product types} */
-// FIXME I'm not sure the current mapping is the ideal one.
-template<int M, int N>  struct product_type_selector<M,N,1>              { enum { ret = OuterProduct }; };
-template<int Depth>     struct product_type_selector<1,    1,    Depth>  { enum { ret = InnerProduct }; };
-template<>              struct product_type_selector<1,    1,    1>      { enum { ret = InnerProduct }; };
-template<>              struct product_type_selector<Small,1,    Small>  { enum { ret = CoeffBasedProductMode }; };
-template<>              struct product_type_selector<1,    Small,Small>  { enum { ret = CoeffBasedProductMode }; };
-template<>              struct product_type_selector<Small,Small,Small>  { enum { ret = CoeffBasedProductMode }; };
-template<>              struct product_type_selector<Small, Small, 1>    { enum { ret = LazyCoeffBasedProductMode }; };
-template<>              struct product_type_selector<Small, Large, 1>    { enum { ret = LazyCoeffBasedProductMode }; };
-template<>              struct product_type_selector<Large, Small, 1>    { enum { ret = LazyCoeffBasedProductMode }; };
-template<>              struct product_type_selector<1,    Large,Small>  { enum { ret = CoeffBasedProductMode }; };
-template<>              struct product_type_selector<1,    Large,Large>  { enum { ret = GemvProduct }; };
-template<>              struct product_type_selector<1,    Small,Large>  { enum { ret = CoeffBasedProductMode }; };
-template<>              struct product_type_selector<Large,1,    Small>  { enum { ret = CoeffBasedProductMode }; };
-template<>              struct product_type_selector<Large,1,    Large>  { enum { ret = GemvProduct }; };
-template<>              struct product_type_selector<Small,1,    Large>  { enum { ret = CoeffBasedProductMode }; };
-template<>              struct product_type_selector<Small,Small,Large>  { enum { ret = GemmProduct }; };
-template<>              struct product_type_selector<Large,Small,Large>  { enum { ret = GemmProduct }; };
-template<>              struct product_type_selector<Small,Large,Large>  { enum { ret = GemmProduct }; };
-template<>              struct product_type_selector<Large,Large,Large>  { enum { ret = GemmProduct }; };
-template<>              struct product_type_selector<Large,Small,Small>  { enum { ret = GemmProduct }; };
-template<>              struct product_type_selector<Small,Large,Small>  { enum { ret = GemmProduct }; };
-template<>              struct product_type_selector<Large,Large,Small>  { enum { ret = GemmProduct }; };
-
 } // end namespace internal
 
-/** \class ProductReturnType
-  * \ingroup Core_Module
-  *
-  * \brief Helper class to get the correct and optimized returned type of operator*
-  *
-  * \param Lhs the type of the left-hand side
-  * \param Rhs the type of the right-hand side
-  * \param ProductMode the type of the product (determined automatically by internal::product_mode)
-  *
-  * This class defines the typename Type representing the optimized product expression
-  * between two matrix expressions. In practice, using ProductReturnType<Lhs,Rhs>::Type
-  * is the recommended way to define the result type of a function returning an expression
-  * which involve a matrix product. The class Product should never be
-  * used directly.
-  *
-  * \sa class Product, MatrixBase::operator*(const MatrixBase<OtherDerived>&)
-  */
-template<typename Lhs, typename Rhs, int ProductType>
-struct ProductReturnType
-{
-  // TODO use the nested type to reduce instanciations ????
-//   typedef typename internal::nested<Lhs,Rhs::ColsAtCompileTime>::type LhsNested;
-//   typedef typename internal::nested<Rhs,Lhs::RowsAtCompileTime>::type RhsNested;
-
-  typedef GeneralProduct<Lhs/*Nested*/, Rhs/*Nested*/, ProductType> Type;
-};
-
-template<typename Lhs, typename Rhs>
-struct ProductReturnType<Lhs,Rhs,CoeffBasedProductMode>
-{
-  typedef typename internal::nested<Lhs, Rhs::ColsAtCompileTime, typename internal::plain_matrix_type<Lhs>::type >::type LhsNested;
-  typedef typename internal::nested<Rhs, Lhs::RowsAtCompileTime, typename internal::plain_matrix_type<Rhs>::type >::type RhsNested;
-  typedef CoeffBasedProduct<LhsNested, RhsNested, EvalBeforeAssigningBit | EvalBeforeNestingBit> Type;
-};
 
 template<typename Lhs, typename Rhs>
-struct ProductReturnType<Lhs,Rhs,LazyCoeffBasedProductMode>
+class Product : public ProductImpl<Lhs,Rhs,typename internal::promote_storage_type<typename internal::traits<Lhs>::StorageKind,
+                                                                            typename internal::traits<Rhs>::StorageKind>::ret>
 {
-  typedef typename internal::nested<Lhs, Rhs::ColsAtCompileTime, typename internal::plain_matrix_type<Lhs>::type >::type LhsNested;
-  typedef typename internal::nested<Rhs, Lhs::RowsAtCompileTime, typename internal::plain_matrix_type<Rhs>::type >::type RhsNested;
-  typedef CoeffBasedProduct<LhsNested, RhsNested, NestByRefBit> Type;
-};
-
-// this is a workaround for sun CC
-template<typename Lhs, typename Rhs>
-struct LazyProductReturnType : public ProductReturnType<Lhs,Rhs,LazyCoeffBasedProductMode>
-{};
-
-/***********************************************************************
-*  Implementation of Inner Vector Vector Product
-***********************************************************************/
-
-// FIXME : maybe the "inner product" could return a Scalar
-// instead of a 1x1 matrix ??
-// Pro: more natural for the user
-// Cons: this could be a problem if in a meta unrolled algorithm a matrix-matrix
-// product ends up to a row-vector times col-vector product... To tackle this use
-// case, we could have a specialization for Block<MatrixType,1,1> with: operator=(Scalar x);
-
-namespace internal {
-
-template<typename Lhs, typename Rhs>
-struct traits<GeneralProduct<Lhs,Rhs,InnerProduct> >
- : traits<Matrix<typename scalar_product_traits<typename Lhs::Scalar, typename Rhs::Scalar>::ReturnType,1,1> >
-{};
-
-}
-
-template<typename Lhs, typename Rhs>
-class GeneralProduct<Lhs, Rhs, InnerProduct>
-  : internal::no_assignment_operator,
-    public Matrix<typename internal::scalar_product_traits<typename Lhs::Scalar, typename Rhs::Scalar>::ReturnType,1,1>
-{
-    typedef Matrix<typename internal::scalar_product_traits<typename Lhs::Scalar, typename Rhs::Scalar>::ReturnType,1,1> Base;
   public:
-    GeneralProduct(const Lhs& lhs, const Rhs& rhs)
-    {
-      EIGEN_STATIC_ASSERT((internal::is_same<typename Lhs::RealScalar, typename Rhs::RealScalar>::value),
-        YOU_MIXED_DIFFERENT_NUMERIC_TYPES__YOU_NEED_TO_USE_THE_CAST_METHOD_OF_MATRIXBASE_TO_CAST_NUMERIC_TYPES_EXPLICITLY)
-
-      Base::coeffRef(0,0) = (lhs.transpose().cwiseProduct(rhs)).sum();
-    }
-
-    /** Convertion to scalar */
-    operator const typename Base::Scalar() const {
-      return Base::coeff(0,0);
-    }
-};
-
-/***********************************************************************
-*  Implementation of Outer Vector Vector Product
-***********************************************************************/
-
-namespace internal {
-template<int StorageOrder> struct outer_product_selector;
-
-template<typename Lhs, typename Rhs>
-struct traits<GeneralProduct<Lhs,Rhs,OuterProduct> >
- : traits<ProductBase<GeneralProduct<Lhs,Rhs,OuterProduct>, Lhs, Rhs> >
-{};
-
-}
-
-template<typename Lhs, typename Rhs>
-class GeneralProduct<Lhs, Rhs, OuterProduct>
-  : public ProductBase<GeneralProduct<Lhs,Rhs,OuterProduct>, Lhs, Rhs>
-{
-  public:
-    EIGEN_PRODUCT_PUBLIC_INTERFACE(GeneralProduct)
-
-    GeneralProduct(const Lhs& lhs, const Rhs& rhs) : Base(lhs,rhs)
+    
+    typedef typename ProductImpl<
+        Lhs, Rhs,
+        typename internal::promote_storage_type<typename Lhs::StorageKind,
+                                                typename Rhs::StorageKind>::ret>::Base Base;
+    EIGEN_GENERIC_PUBLIC_INTERFACE(Product)
+
+    typedef typename Lhs::Nested LhsNested;
+    typedef typename Rhs::Nested RhsNested;
+    typedef typename internal::remove_all<LhsNested>::type LhsNestedCleaned;
+    typedef typename internal::remove_all<RhsNested>::type RhsNestedCleaned;
+
+    Product(const Lhs& lhs, const Rhs& rhs) : m_lhs(lhs), m_rhs(rhs)
     {
-      EIGEN_STATIC_ASSERT((internal::is_same<typename Lhs::RealScalar, typename Rhs::RealScalar>::value),
-        YOU_MIXED_DIFFERENT_NUMERIC_TYPES__YOU_NEED_TO_USE_THE_CAST_METHOD_OF_MATRIXBASE_TO_CAST_NUMERIC_TYPES_EXPLICITLY)
+      eigen_assert(lhs.cols() == rhs.rows()
+        && "invalid matrix product"
+        && "if you wanted a coeff-wise or a dot product use the respective explicit functions");
     }
 
-    template<typename Dest> void scaleAndAddTo(Dest& dest, Scalar alpha) const
-    {
-      internal::outer_product_selector<(int(Dest::Flags)&RowMajorBit) ? RowMajor : ColMajor>::run(*this, dest, alpha);
-    }
-};
+    inline Index rows() const { return m_lhs.rows(); }
+    inline Index cols() const { return m_rhs.cols(); }
 
-namespace internal {
+    const LhsNestedCleaned& lhs() const { return m_lhs; }
+    const RhsNestedCleaned& rhs() const { return m_rhs; }
 
-template<> struct outer_product_selector<ColMajor> {
-  template<typename ProductType, typename Dest>
-  static EIGEN_DONT_INLINE void run(const ProductType& prod, Dest& dest, typename ProductType::Scalar alpha) {
-    typedef typename Dest::Index Index;
-    // FIXME make sure lhs is sequentially stored
-    // FIXME not very good if rhs is real and lhs complex while alpha is real too
-    const Index cols = dest.cols();
-    for (Index j=0; j<cols; ++j)
-      dest.col(j) += (alpha * prod.rhs().coeff(j)) * prod.lhs();
-  }
-};
+  protected:
 
-template<> struct outer_product_selector<RowMajor> {
-  template<typename ProductType, typename Dest>
-  static EIGEN_DONT_INLINE void run(const ProductType& prod, Dest& dest, typename ProductType::Scalar alpha) {
-    typedef typename Dest::Index Index;
-    // FIXME make sure rhs is sequentially stored
-    // FIXME not very good if lhs is real and rhs complex while alpha is real too
-    const Index rows = dest.rows();
-    for (Index i=0; i<rows; ++i)
-      dest.row(i) += (alpha * prod.lhs().coeff(i)) * prod.rhs();
-  }
+    const LhsNested m_lhs;
+    const RhsNested m_rhs;
 };
 
-} // end namespace internal
-
-/***********************************************************************
-*  Implementation of General Matrix Vector Product
-***********************************************************************/
-
-/*  According to the shape/flags of the matrix we have to distinghish 3 different cases:
- *   1 - the matrix is col-major, BLAS compatible and M is large => call fast BLAS-like colmajor routine
- *   2 - the matrix is row-major, BLAS compatible and N is large => call fast BLAS-like rowmajor routine
- *   3 - all other cases are handled using a simple loop along the outer-storage direction.
- *  Therefore we need a lower level meta selector.
- *  Furthermore, if the matrix is the rhs, then the product has to be transposed.
- */
-namespace internal {
-
-template<typename Lhs, typename Rhs>
-struct traits<GeneralProduct<Lhs,Rhs,GemvProduct> >
- : traits<ProductBase<GeneralProduct<Lhs,Rhs,GemvProduct>, Lhs, Rhs> >
-{};
-
-template<int Side, int StorageOrder, bool BlasCompatible>
-struct gemv_selector;
-
-} // end namespace internal
-
 template<typename Lhs, typename Rhs>
-class GeneralProduct<Lhs, Rhs, GemvProduct>
-  : public ProductBase<GeneralProduct<Lhs,Rhs,GemvProduct>, Lhs, Rhs>
+class ProductImpl<Lhs,Rhs,Dense> : public internal::dense_xpr_base<Product<Lhs,Rhs> >::type
 {
+    typedef Product<Lhs, Rhs> Derived;
   public:
-    EIGEN_PRODUCT_PUBLIC_INTERFACE(GeneralProduct)
 
-    typedef typename Lhs::Scalar LhsScalar;
-    typedef typename Rhs::Scalar RhsScalar;
-
-    GeneralProduct(const Lhs& lhs, const Rhs& rhs) : Base(lhs,rhs)
-    {
-//       EIGEN_STATIC_ASSERT((internal::is_same<typename Lhs::Scalar, typename Rhs::Scalar>::value),
-//         YOU_MIXED_DIFFERENT_NUMERIC_TYPES__YOU_NEED_TO_USE_THE_CAST_METHOD_OF_MATRIXBASE_TO_CAST_NUMERIC_TYPES_EXPLICITLY)
-    }
-
-    enum { Side = Lhs::IsVectorAtCompileTime ? OnTheLeft : OnTheRight };
-    typedef typename internal::conditional<int(Side)==OnTheRight,_LhsNested,_RhsNested>::type MatrixType;
-
-    template<typename Dest> void scaleAndAddTo(Dest& dst, Scalar alpha) const
-    {
-      eigen_assert(m_lhs.rows() == dst.rows() && m_rhs.cols() == dst.cols());
-      internal::gemv_selector<Side,(int(MatrixType::Flags)&RowMajorBit) ? RowMajor : ColMajor,
-                       bool(internal::blas_traits<MatrixType>::HasUsableDirectAccess)>::run(*this, dst, alpha);
-    }
-};
-
-namespace internal {
-
-// The vector is on the left => transposition
-template<int StorageOrder, bool BlasCompatible>
-struct gemv_selector<OnTheLeft,StorageOrder,BlasCompatible>
-{
-  template<typename ProductType, typename Dest>
-  static void run(const ProductType& prod, Dest& dest, typename ProductType::Scalar alpha)
-  {
-    Transpose<Dest> destT(dest);
-    enum { OtherStorageOrder = StorageOrder == RowMajor ? ColMajor : RowMajor };
-    gemv_selector<OnTheRight,OtherStorageOrder,BlasCompatible>
-      ::run(GeneralProduct<Transpose<const typename ProductType::_RhsNested>,Transpose<const typename ProductType::_LhsNested>, GemvProduct>
-        (prod.rhs().transpose(), prod.lhs().transpose()), destT, alpha);
-  }
-};
-
-template<typename Scalar,int Size,int MaxSize,bool Cond> struct gemv_static_vector_if;
-
-template<typename Scalar,int Size,int MaxSize>
-struct gemv_static_vector_if<Scalar,Size,MaxSize,false>
-{
-  EIGEN_STRONG_INLINE  Scalar* data() { eigen_internal_assert(false && "should never be called"); return 0; }
-};
-
-template<typename Scalar,int Size>
-struct gemv_static_vector_if<Scalar,Size,Dynamic,true>
-{
-  EIGEN_STRONG_INLINE Scalar* data() { return 0; }
-};
-
-template<typename Scalar,int Size,int MaxSize>
-struct gemv_static_vector_if<Scalar,Size,MaxSize,true>
-{
-  #if EIGEN_ALIGN_STATICALLY
-  internal::plain_array<Scalar,EIGEN_SIZE_MIN_PREFER_FIXED(Size,MaxSize),0> m_data;
-  EIGEN_STRONG_INLINE Scalar* data() { return m_data.array; }
-  #else
-  // Some architectures cannot align on the stack,
-  // => let's manually enforce alignment by allocating more data and return the address of the first aligned element.
-  enum {
-    ForceAlignment  = internal::packet_traits<Scalar>::Vectorizable,
-    PacketSize      = internal::packet_traits<Scalar>::size
-  };
-  internal::plain_array<Scalar,EIGEN_SIZE_MIN_PREFER_FIXED(Size,MaxSize)+(ForceAlignment?PacketSize:0),0> m_data;
-  EIGEN_STRONG_INLINE Scalar* data() {
-    return ForceAlignment
-            ? reinterpret_cast<Scalar*>((reinterpret_cast<size_t>(m_data.array) & ~(size_t(15))) + 16)
-            : m_data.array;
-  }
-  #endif
-};
-
-template<> struct gemv_selector<OnTheRight,ColMajor,true>
-{
-  template<typename ProductType, typename Dest>
-  static inline void run(const ProductType& prod, Dest& dest, typename ProductType::Scalar alpha)
-  {
-    typedef typename ProductType::Index Index;
-    typedef typename ProductType::LhsScalar   LhsScalar;
-    typedef typename ProductType::RhsScalar   RhsScalar;
-    typedef typename ProductType::Scalar      ResScalar;
-    typedef typename ProductType::RealScalar  RealScalar;
-    typedef typename ProductType::ActualLhsType ActualLhsType;
-    typedef typename ProductType::ActualRhsType ActualRhsType;
-    typedef typename ProductType::LhsBlasTraits LhsBlasTraits;
-    typedef typename ProductType::RhsBlasTraits RhsBlasTraits;
-    typedef Map<Matrix<ResScalar,Dynamic,1>, Aligned> MappedDest;
-
-    const ActualLhsType actualLhs = LhsBlasTraits::extract(prod.lhs());
-    const ActualRhsType actualRhs = RhsBlasTraits::extract(prod.rhs());
-
-    ResScalar actualAlpha = alpha * LhsBlasTraits::extractScalarFactor(prod.lhs())
-                                  * RhsBlasTraits::extractScalarFactor(prod.rhs());
-
-    enum {
-      // FIXME find a way to allow an inner stride on the result if packet_traits<Scalar>::size==1
-      // on, the other hand it is good for the cache to pack the vector anyways...
-      EvalToDestAtCompileTime = Dest::InnerStrideAtCompileTime==1,
-      ComplexByReal = (NumTraits<LhsScalar>::IsComplex) && (!NumTraits<RhsScalar>::IsComplex),
-      MightCannotUseDest = (Dest::InnerStrideAtCompileTime!=1) || ComplexByReal
-    };
-
-    gemv_static_vector_if<ResScalar,Dest::SizeAtCompileTime,Dest::MaxSizeAtCompileTime,MightCannotUseDest> static_dest;
-
-    // this is written like this (i.e., with a ?:) to workaround an ICE with ICC 12
-    bool alphaIsCompatible = (!ComplexByReal) ? true : (imag(actualAlpha)==RealScalar(0));
-    bool evalToDest = EvalToDestAtCompileTime && alphaIsCompatible;
-    
-    RhsScalar compatibleAlpha = get_factor<ResScalar,RhsScalar>::run(actualAlpha);
-
-    ei_declare_aligned_stack_constructed_variable(ResScalar,actualDestPtr,dest.size(),
-                                                  evalToDest ? dest.data() : static_dest.data());
-    
-    if(!evalToDest)
-    {
-      #ifdef EIGEN_DENSE_STORAGE_CTOR_PLUGIN
-      int size = dest.size();
-      EIGEN_DENSE_STORAGE_CTOR_PLUGIN
-      #endif
-      if(!alphaIsCompatible)
-      {
-        MappedDest(actualDestPtr, dest.size()).setZero();
-        compatibleAlpha = RhsScalar(1);
-      }
-      else
-        MappedDest(actualDestPtr, dest.size()) = dest;
-    }
-
-    general_matrix_vector_product
-      <Index,LhsScalar,ColMajor,LhsBlasTraits::NeedToConjugate,RhsScalar,RhsBlasTraits::NeedToConjugate>::run(
-        actualLhs.rows(), actualLhs.cols(),
-        &actualLhs.coeffRef(0,0), actualLhs.outerStride(),
-        actualRhs.data(), actualRhs.innerStride(),
-        actualDestPtr, 1,
-        compatibleAlpha);
-
-    if (!evalToDest)
-    {
-      if(!alphaIsCompatible)
-        dest += actualAlpha * MappedDest(actualDestPtr, dest.size());
-      else
-        dest = MappedDest(actualDestPtr, dest.size());
-    }
-  }
-};
-
-template<> struct gemv_selector<OnTheRight,RowMajor,true>
-{
-  template<typename ProductType, typename Dest>
-  static void run(const ProductType& prod, Dest& dest, typename ProductType::Scalar alpha)
-  {
-    typedef typename ProductType::LhsScalar LhsScalar;
-    typedef typename ProductType::RhsScalar RhsScalar;
-    typedef typename ProductType::Scalar    ResScalar;
-    typedef typename ProductType::Index Index;
-    typedef typename ProductType::ActualLhsType ActualLhsType;
-    typedef typename ProductType::ActualRhsType ActualRhsType;
-    typedef typename ProductType::_ActualRhsType _ActualRhsType;
-    typedef typename ProductType::LhsBlasTraits LhsBlasTraits;
-    typedef typename ProductType::RhsBlasTraits RhsBlasTraits;
-
-    typename add_const<ActualLhsType>::type actualLhs = LhsBlasTraits::extract(prod.lhs());
-    typename add_const<ActualRhsType>::type actualRhs = RhsBlasTraits::extract(prod.rhs());
-
-    ResScalar actualAlpha = alpha * LhsBlasTraits::extractScalarFactor(prod.lhs())
-                                  * RhsBlasTraits::extractScalarFactor(prod.rhs());
-
-    enum {
-      // FIXME find a way to allow an inner stride on the result if packet_traits<Scalar>::size==1
-      // on, the other hand it is good for the cache to pack the vector anyways...
-      DirectlyUseRhs = _ActualRhsType::InnerStrideAtCompileTime==1
-    };
-
-    gemv_static_vector_if<RhsScalar,_ActualRhsType::SizeAtCompileTime,_ActualRhsType::MaxSizeAtCompileTime,!DirectlyUseRhs> static_rhs;
-
-    ei_declare_aligned_stack_constructed_variable(RhsScalar,actualRhsPtr,actualRhs.size(),
-        DirectlyUseRhs ? const_cast<RhsScalar*>(actualRhs.data()) : static_rhs.data());
-
-    if(!DirectlyUseRhs)
-    {
-      #ifdef EIGEN_DENSE_STORAGE_CTOR_PLUGIN
-      int size = actualRhs.size();
-      EIGEN_DENSE_STORAGE_CTOR_PLUGIN
-      #endif
-      Map<typename _ActualRhsType::PlainObject>(actualRhsPtr, actualRhs.size()) = actualRhs;
-    }
-
-    general_matrix_vector_product
-      <Index,LhsScalar,RowMajor,LhsBlasTraits::NeedToConjugate,RhsScalar,RhsBlasTraits::NeedToConjugate>::run(
-        actualLhs.rows(), actualLhs.cols(),
-        &actualLhs.coeffRef(0,0), actualLhs.outerStride(),
-        actualRhsPtr, 1,
-        &dest.coeffRef(0,0), dest.innerStride(),
-        actualAlpha);
-  }
-};
-
-template<> struct gemv_selector<OnTheRight,ColMajor,false>
-{
-  template<typename ProductType, typename Dest>
-  static void run(const ProductType& prod, Dest& dest, typename ProductType::Scalar alpha)
-  {
-    typedef typename Dest::Index Index;
-    // TODO makes sure dest is sequentially stored in memory, otherwise use a temp
-    const Index size = prod.rhs().rows();
-    for(Index k=0; k<size; ++k)
-      dest += (alpha*prod.rhs().coeff(k)) * prod.lhs().col(k);
-  }
-};
-
-template<> struct gemv_selector<OnTheRight,RowMajor,false>
-{
-  template<typename ProductType, typename Dest>
-  static void run(const ProductType& prod, Dest& dest, typename ProductType::Scalar alpha)
-  {
-    typedef typename Dest::Index Index;
-    // TODO makes sure rhs is sequentially stored in memory, otherwise use a temp
-    const Index rows = prod.rows();
-    for(Index i=0; i<rows; ++i)
-      dest.coeffRef(i) += alpha * (prod.lhs().row(i).cwiseProduct(prod.rhs().transpose())).sum();
-  }
+    typedef typename internal::dense_xpr_base<Product<Lhs, Rhs> >::type Base;
+    EIGEN_DENSE_PUBLIC_INTERFACE(Derived)
 };
 
-} // end namespace internal
-
-/***************************************************************************
-* Implementation of matrix base methods
-***************************************************************************/
-
-/** \returns the matrix product of \c *this and \a other.
-  *
-  * \note If instead of the matrix product you want the coefficient-wise product, see Cwise::operator*().
-  *
-  * \sa lazyProduct(), operator*=(const MatrixBase&), Cwise::operator*()
-  */
-template<typename Derived>
-template<typename OtherDerived>
-inline const typename ProductReturnType<Derived,OtherDerived>::Type
-MatrixBase<Derived>::operator*(const MatrixBase<OtherDerived> &other) const
-{
-  // A note regarding the function declaration: In MSVC, this function will sometimes
-  // not be inlined since DenseStorage is an unwindable object for dynamic
-  // matrices and product types are holding a member to store the result.
-  // Thus it does not help tagging this function with EIGEN_STRONG_INLINE.
-  enum {
-    ProductIsValid =  Derived::ColsAtCompileTime==Dynamic
-                   || OtherDerived::RowsAtCompileTime==Dynamic
-                   || int(Derived::ColsAtCompileTime)==int(OtherDerived::RowsAtCompileTime),
-    AreVectors = Derived::IsVectorAtCompileTime && OtherDerived::IsVectorAtCompileTime,
-    SameSizes = EIGEN_PREDICATE_SAME_MATRIX_SIZE(Derived,OtherDerived)
-  };
-  // note to the lost user:
-  //    * for a dot product use: v1.dot(v2)
-  //    * for a coeff-wise product use: v1.cwiseProduct(v2)
-  EIGEN_STATIC_ASSERT(ProductIsValid || !(AreVectors && SameSizes),
-    INVALID_VECTOR_VECTOR_PRODUCT__IF_YOU_WANTED_A_DOT_OR_COEFF_WISE_PRODUCT_YOU_MUST_USE_THE_EXPLICIT_FUNCTIONS)
-  EIGEN_STATIC_ASSERT(ProductIsValid || !(SameSizes && !AreVectors),
-    INVALID_MATRIX_PRODUCT__IF_YOU_WANTED_A_COEFF_WISE_PRODUCT_YOU_MUST_USE_THE_EXPLICIT_FUNCTION)
-  EIGEN_STATIC_ASSERT(ProductIsValid || SameSizes, INVALID_MATRIX_PRODUCT)
-#ifdef EIGEN_DEBUG_PRODUCT
-  internal::product_type<Derived,OtherDerived>::debug();
-#endif
-  return typename ProductReturnType<Derived,OtherDerived>::Type(derived(), other.derived());
-}
-
-/** \returns an expression of the matrix product of \c *this and \a other without implicit evaluation.
-  *
-  * The returned product will behave like any other expressions: the coefficients of the product will be
-  * computed once at a time as requested. This might be useful in some extremely rare cases when only
-  * a small and no coherent fraction of the result's coefficients have to be computed.
-  *
-  * \warning This version of the matrix product can be much much slower. So use it only if you know
-  * what you are doing and that you measured a true speed improvement.
-  *
-  * \sa operator*(const MatrixBase&)
-  */
-template<typename Derived>
-template<typename OtherDerived>
-const typename LazyProductReturnType<Derived,OtherDerived>::Type
-MatrixBase<Derived>::lazyProduct(const MatrixBase<OtherDerived> &other) const
-{
-  enum {
-    ProductIsValid =  Derived::ColsAtCompileTime==Dynamic
-                   || OtherDerived::RowsAtCompileTime==Dynamic
-                   || int(Derived::ColsAtCompileTime)==int(OtherDerived::RowsAtCompileTime),
-    AreVectors = Derived::IsVectorAtCompileTime && OtherDerived::IsVectorAtCompileTime,
-    SameSizes = EIGEN_PREDICATE_SAME_MATRIX_SIZE(Derived,OtherDerived)
-  };
-  // note to the lost user:
-  //    * for a dot product use: v1.dot(v2)
-  //    * for a coeff-wise product use: v1.cwiseProduct(v2)
-  EIGEN_STATIC_ASSERT(ProductIsValid || !(AreVectors && SameSizes),
-    INVALID_VECTOR_VECTOR_PRODUCT__IF_YOU_WANTED_A_DOT_OR_COEFF_WISE_PRODUCT_YOU_MUST_USE_THE_EXPLICIT_FUNCTIONS)
-  EIGEN_STATIC_ASSERT(ProductIsValid || !(SameSizes && !AreVectors),
-    INVALID_MATRIX_PRODUCT__IF_YOU_WANTED_A_COEFF_WISE_PRODUCT_YOU_MUST_USE_THE_EXPLICIT_FUNCTION)
-  EIGEN_STATIC_ASSERT(ProductIsValid || SameSizes, INVALID_MATRIX_PRODUCT)
-
-  return typename LazyProductReturnType<Derived,OtherDerived>::Type(derived(), other.derived());
-}
-
 #endif // EIGEN_PRODUCT_H
diff --git a/extern/Eigen3/Eigen/src/Core/ProductBase.h b/extern/Eigen3/Eigen/src/Core/ProductBase.h
index 91975880fdc..6cf02a64947 100644
--- a/extern/Eigen3/Eigen/src/Core/ProductBase.h
+++ b/extern/Eigen3/Eigen/src/Core/ProductBase.h
@@ -25,6 +25,8 @@
 #ifndef EIGEN_PRODUCTBASE_H
 #define EIGEN_PRODUCTBASE_H
 
+namespace Eigen { 
+
 /** \class ProductBase
   * \ingroup Core_Module
   *
@@ -115,10 +117,10 @@ class ProductBase : public MatrixBase<Derived>
     inline void evalTo(Dest& dst) const { dst.setZero(); scaleAndAddTo(dst,Scalar(1)); }
 
     template<typename Dest>
-    inline void addTo(Dest& dst) const { scaleAndAddTo(dst,1); }
+    inline void addTo(Dest& dst) const { scaleAndAddTo(dst,Scalar(1)); }
 
     template<typename Dest>
-    inline void subTo(Dest& dst) const { scaleAndAddTo(dst,-1); }
+    inline void subTo(Dest& dst) const { scaleAndAddTo(dst,Scalar(-1)); }
 
     template<typename Dest>
     inline void scaleAndAddTo(Dest& dst,Scalar alpha) const { derived().scaleAndAddTo(dst,alpha); }
@@ -181,8 +183,8 @@ class ProductBase : public MatrixBase<Derived>
 
   protected:
 
-    const LhsNested m_lhs;
-    const RhsNested m_rhs;
+    LhsNested m_lhs;
+    RhsNested m_rhs;
 
     mutable PlainObject m_result;
 };
@@ -286,5 +288,6 @@ Derived& MatrixBase<Derived>::lazyAssign(const ProductBase<ProductDerived, Lhs,R
   return derived();
 }
 
+} // end namespace Eigen
 
 #endif // EIGEN_PRODUCTBASE_H
diff --git a/extern/Eigen3/Eigen/src/Core/Random.h b/extern/Eigen3/Eigen/src/Core/Random.h
index b7d90103a5b..1470e91846f 100644
--- a/extern/Eigen3/Eigen/src/Core/Random.h
+++ b/extern/Eigen3/Eigen/src/Core/Random.h
@@ -25,6 +25,8 @@
 #ifndef EIGEN_RANDOM_H
 #define EIGEN_RANDOM_H
 
+namespace Eigen { 
+
 namespace internal {
 
 template<typename Scalar> struct scalar_random_op {
@@ -160,4 +162,6 @@ PlainObjectBase<Derived>::setRandom(Index rows, Index cols)
   return setRandom();
 }
 
+} // end namespace Eigen
+
 #endif // EIGEN_RANDOM_H
diff --git a/extern/Eigen3/Eigen/src/Core/Redux.h b/extern/Eigen3/Eigen/src/Core/Redux.h
index f9f5a95d546..d66ff00c17a 100644
--- a/extern/Eigen3/Eigen/src/Core/Redux.h
+++ b/extern/Eigen3/Eigen/src/Core/Redux.h
@@ -26,6 +26,8 @@
 #ifndef EIGEN_REDUX_H
 #define EIGEN_REDUX_H
 
+namespace Eigen { 
+
 namespace internal {
 
 // TODO
@@ -95,7 +97,7 @@ struct redux_novec_unroller
 
   typedef typename Derived::Scalar Scalar;
 
-  EIGEN_STRONG_INLINE static Scalar run(const Derived &mat, const Func& func)
+  static EIGEN_STRONG_INLINE Scalar run(const Derived &mat, const Func& func)
   {
     return func(redux_novec_unroller<Func, Derived, Start, HalfLength>::run(mat,func),
                 redux_novec_unroller<Func, Derived, Start+HalfLength, Length-HalfLength>::run(mat,func));
@@ -112,7 +114,7 @@ struct redux_novec_unroller<Func, Derived, Start, 1>
 
   typedef typename Derived::Scalar Scalar;
 
-  EIGEN_STRONG_INLINE static Scalar run(const Derived &mat, const Func&)
+  static EIGEN_STRONG_INLINE Scalar run(const Derived &mat, const Func&)
   {
     return mat.coeffByOuterInner(outer, inner);
   }
@@ -125,7 +127,7 @@ template<typename Func, typename Derived, int Start>
 struct redux_novec_unroller<Func, Derived, Start, 0>
 {
   typedef typename Derived::Scalar Scalar;
-  EIGEN_STRONG_INLINE static Scalar run(const Derived&, const Func&) { return Scalar(); }
+  static EIGEN_STRONG_INLINE Scalar run(const Derived&, const Func&) { return Scalar(); }
 };
 
 /*** vectorization ***/
@@ -141,7 +143,7 @@ struct redux_vec_unroller
   typedef typename Derived::Scalar Scalar;
   typedef typename packet_traits<Scalar>::type PacketScalar;
 
-  EIGEN_STRONG_INLINE static PacketScalar run(const Derived &mat, const Func& func)
+  static EIGEN_STRONG_INLINE PacketScalar run(const Derived &mat, const Func& func)
   {
     return func.packetOp(
             redux_vec_unroller<Func, Derived, Start, HalfLength>::run(mat,func),
@@ -162,7 +164,7 @@ struct redux_vec_unroller<Func, Derived, Start, 1>
   typedef typename Derived::Scalar Scalar;
   typedef typename packet_traits<Scalar>::type PacketScalar;
 
-  EIGEN_STRONG_INLINE static PacketScalar run(const Derived &mat, const Func&)
+  static EIGEN_STRONG_INLINE PacketScalar run(const Derived &mat, const Func&)
   {
     return mat.template packetByOuterInner<alignment>(outer, inner);
   }
@@ -214,20 +216,33 @@ struct redux_impl<Func, Derived, LinearVectorizedTraversal, NoUnrolling>
     const Index size = mat.size();
     eigen_assert(size && "you are using an empty matrix");
     const Index packetSize = packet_traits<Scalar>::size;
-    const Index alignedStart = first_aligned(mat);
+    const Index alignedStart = internal::first_aligned(mat);
     enum {
       alignment = bool(Derived::Flags & DirectAccessBit) || bool(Derived::Flags & AlignedBit)
                 ? Aligned : Unaligned
     };
-    const Index alignedSize = ((size-alignedStart)/packetSize)*packetSize;
-    const Index alignedEnd = alignedStart + alignedSize;
+    const Index alignedSize2 = ((size-alignedStart)/(2*packetSize))*(2*packetSize);
+    const Index alignedSize = ((size-alignedStart)/(packetSize))*(packetSize);
+    const Index alignedEnd2 = alignedStart + alignedSize2;
+    const Index alignedEnd  = alignedStart + alignedSize;
     Scalar res;
     if(alignedSize)
     {
-      PacketScalar packet_res = mat.template packet<alignment>(alignedStart);
-      for(Index index = alignedStart + packetSize; index < alignedEnd; index += packetSize)
-        packet_res = func.packetOp(packet_res, mat.template packet<alignment>(index));
-      res = func.predux(packet_res);
+      PacketScalar packet_res0 = mat.template packet<alignment>(alignedStart);
+      if(alignedSize>packetSize) // we have at least two packets to partly unroll the loop
+      {
+        PacketScalar packet_res1 = mat.template packet<alignment>(alignedStart+packetSize);
+        for(Index index = alignedStart + 2*packetSize; index < alignedEnd2; index += 2*packetSize)
+        {
+          packet_res0 = func.packetOp(packet_res0, mat.template packet<alignment>(index));
+          packet_res1 = func.packetOp(packet_res1, mat.template packet<alignment>(index+packetSize));
+        }
+
+        packet_res0 = func.packetOp(packet_res0,packet_res1);
+        if(alignedEnd>alignedEnd2)
+          packet_res0 = func.packetOp(packet_res0, mat.template packet<alignment>(alignedEnd2));
+      }
+      res = func.predux(packet_res0);
 
       for(Index index = 0; index < alignedStart; ++index)
         res = func(res,mat.coeff(index));
@@ -296,7 +311,7 @@ struct redux_impl<Func, Derived, LinearVectorizedTraversal, CompleteUnrolling>
     Size = Derived::SizeAtCompileTime,
     VectorizedSize = (Size / PacketSize) * PacketSize
   };
-  EIGEN_STRONG_INLINE static Scalar run(const Derived& mat, const Func& func)
+  static EIGEN_STRONG_INLINE Scalar run(const Derived& mat, const Func& func)
   {
     eigen_assert(mat.rows()>0 && mat.cols()>0 && "you are using an empty matrix");
     Scalar res = func.predux(redux_vec_unroller<Func, Derived, 0, Size / PacketSize>::run(mat,func));
@@ -401,4 +416,6 @@ MatrixBase<Derived>::trace() const
   return derived().diagonal().sum();
 }
 
+} // end namespace Eigen
+
 #endif // EIGEN_REDUX_H
diff --git a/extern/Eigen3/Eigen/src/Core/Replicate.h b/extern/Eigen3/Eigen/src/Core/Replicate.h
index 4c171f8d580..79e3578dfee 100644
--- a/extern/Eigen3/Eigen/src/Core/Replicate.h
+++ b/extern/Eigen3/Eigen/src/Core/Replicate.h
@@ -25,6 +25,8 @@
 #ifndef EIGEN_REPLICATE_H
 #define EIGEN_REPLICATE_H
 
+namespace Eigen { 
+
 /**
   * \class Replicate
   * \ingroup Core_Module
@@ -92,7 +94,7 @@ template<typename MatrixType,int RowFactor,int ColFactor> class Replicate
     }
 
     template<typename OriginalMatrixType>
-    inline Replicate(const OriginalMatrixType& matrix, int rowFactor, int colFactor)
+    inline Replicate(const OriginalMatrixType& matrix, Index rowFactor, Index colFactor)
       : m_matrix(matrix), m_rowFactor(rowFactor), m_colFactor(colFactor)
     {
       EIGEN_STATIC_ASSERT((internal::is_same<typename internal::remove_const<MatrixType>::type,OriginalMatrixType>::value),
@@ -127,9 +129,13 @@ template<typename MatrixType,int RowFactor,int ColFactor> class Replicate
       return m_matrix.template packet<LoadMode>(actual_row, actual_col);
     }
 
+    const _MatrixTypeNested& nestedExpression() const
+    { 
+      return m_matrix; 
+    }
 
   protected:
-    const MatrixTypeNested m_matrix;
+    MatrixTypeNested m_matrix;
     const internal::variable_if_dynamic<Index, RowFactor> m_rowFactor;
     const internal::variable_if_dynamic<Index, ColFactor> m_colFactor;
 };
@@ -181,4 +187,6 @@ VectorwiseOp<ExpressionType,Direction>::replicate(Index factor) const
           (_expression(),Direction==Vertical?factor:1,Direction==Horizontal?factor:1);
 }
 
+} // end namespace Eigen
+
 #endif // EIGEN_REPLICATE_H
diff --git a/extern/Eigen3/Eigen/src/Core/ReturnByValue.h b/extern/Eigen3/Eigen/src/Core/ReturnByValue.h
index 24c5a4e215d..24b6a3f6ae8 100644
--- a/extern/Eigen3/Eigen/src/Core/ReturnByValue.h
+++ b/extern/Eigen3/Eigen/src/Core/ReturnByValue.h
@@ -26,6 +26,8 @@
 #ifndef EIGEN_RETURNBYVALUE_H
 #define EIGEN_RETURNBYVALUE_H
 
+namespace Eigen {
+
 /** \class ReturnByValue
   * \ingroup Core_Module
   *
@@ -96,4 +98,6 @@ Derived& DenseBase<Derived>::operator=(const ReturnByValue<OtherDerived>& other)
   return derived();
 }
 
+} // end namespace Eigen
+
 #endif // EIGEN_RETURNBYVALUE_H
diff --git a/extern/Eigen3/Eigen/src/Core/Reverse.h b/extern/Eigen3/Eigen/src/Core/Reverse.h
index 600744ae758..9e4e8a2bccf 100644
--- a/extern/Eigen3/Eigen/src/Core/Reverse.h
+++ b/extern/Eigen3/Eigen/src/Core/Reverse.h
@@ -27,6 +27,8 @@
 #ifndef EIGEN_REVERSE_H
 #define EIGEN_REVERSE_H
 
+namespace Eigen { 
+
 /** \class Reverse
   * \ingroup Core_Module
   *
@@ -183,8 +185,14 @@ template<typename MatrixType, int Direction> class Reverse
       m_matrix.const_cast_derived().template writePacket<LoadMode>(m_matrix.size() - index - PacketSize, internal::preverse(x));
     }
 
+    const typename internal::remove_all<typename MatrixType::Nested>::type& 
+    nestedExpression() const 
+    {
+      return m_matrix;
+    }
+
   protected:
-    const typename MatrixType::Nested m_matrix;
+    typename MatrixType::Nested m_matrix;
 };
 
 /** \returns an expression of the reverse of *this.
@@ -226,5 +234,6 @@ inline void DenseBase<Derived>::reverseInPlace()
   derived() = derived().reverse().eval();
 }
 
+} // end namespace Eigen
 
 #endif // EIGEN_REVERSE_H
diff --git a/extern/Eigen3/Eigen/src/Core/Select.h b/extern/Eigen3/Eigen/src/Core/Select.h
index d0cd66a261a..92508a168b9 100644
--- a/extern/Eigen3/Eigen/src/Core/Select.h
+++ b/extern/Eigen3/Eigen/src/Core/Select.h
@@ -25,6 +25,8 @@
 #ifndef EIGEN_SELECT_H
 #define EIGEN_SELECT_H
 
+namespace Eigen { 
+
 /** \class Select
   * \ingroup Core_Module
   *
@@ -101,10 +103,25 @@ class Select : internal::no_assignment_operator,
         return m_else.coeff(i);
     }
 
+    const ConditionMatrixType& conditionMatrix() const
+    {
+      return m_condition;
+    }
+
+    const ThenMatrixType& thenMatrix() const
+    {
+      return m_then;
+    }
+
+    const ElseMatrixType& elseMatrix() const
+    {
+      return m_else;
+    }
+
   protected:
-    const typename ConditionMatrixType::Nested m_condition;
-    const typename ThenMatrixType::Nested m_then;
-    const typename ElseMatrixType::Nested m_else;
+    typename ConditionMatrixType::Nested m_condition;
+    typename ThenMatrixType::Nested m_then;
+    typename ElseMatrixType::Nested m_else;
 };
 
 
@@ -155,4 +172,6 @@ DenseBase<Derived>::select(typename ElseDerived::Scalar thenScalar,
     derived(), ElseDerived::Constant(rows(),cols(),thenScalar), elseMatrix.derived());
 }
 
+} // end namespace Eigen
+
 #endif // EIGEN_SELECT_H
diff --git a/extern/Eigen3/Eigen/src/Core/SelfAdjointView.h b/extern/Eigen3/Eigen/src/Core/SelfAdjointView.h
index 4bb68755eee..086f05c4902 100644
--- a/extern/Eigen3/Eigen/src/Core/SelfAdjointView.h
+++ b/extern/Eigen3/Eigen/src/Core/SelfAdjointView.h
@@ -25,6 +25,8 @@
 #ifndef EIGEN_SELFADJOINTMATRIX_H
 #define EIGEN_SELFADJOINTMATRIX_H
 
+namespace Eigen { 
+
 /** \class SelfAdjointView
   * \ingroup Core_Module
   *
@@ -82,7 +84,7 @@ template<typename MatrixType, unsigned int UpLo> class SelfAdjointView
     };
     typedef typename MatrixType::PlainObject PlainObject;
 
-    inline SelfAdjointView(const MatrixType& matrix) : m_matrix(matrix)
+    inline SelfAdjointView(MatrixType& matrix) : m_matrix(matrix)
     {}
 
     inline Index rows() const { return m_matrix.rows(); }
@@ -199,7 +201,7 @@ template<typename MatrixType, unsigned int UpLo> class SelfAdjointView
     #endif
 
   protected:
-    const MatrixTypeNested m_matrix;
+    MatrixTypeNested m_matrix;
 };
 
 
@@ -222,7 +224,7 @@ struct triangular_assignment_selector<Derived1, Derived2, (SelfAdjoint|Upper), U
     row = (UnrollCount-1) % Derived1::RowsAtCompileTime
   };
 
-  inline static void run(Derived1 &dst, const Derived2 &src)
+  static inline void run(Derived1 &dst, const Derived2 &src)
   {
     triangular_assignment_selector<Derived1, Derived2, (SelfAdjoint|Upper), UnrollCount-1, ClearOpposite>::run(dst, src);
 
@@ -236,7 +238,7 @@ struct triangular_assignment_selector<Derived1, Derived2, (SelfAdjoint|Upper), U
 template<typename Derived1, typename Derived2, bool ClearOpposite>
 struct triangular_assignment_selector<Derived1, Derived2, SelfAdjoint|Upper, 0, ClearOpposite>
 {
-  inline static void run(Derived1 &, const Derived2 &) {}
+  static inline void run(Derived1 &, const Derived2 &) {}
 };
 
 template<typename Derived1, typename Derived2, int UnrollCount, bool ClearOpposite>
@@ -247,7 +249,7 @@ struct triangular_assignment_selector<Derived1, Derived2, (SelfAdjoint|Lower), U
     row = (UnrollCount-1) % Derived1::RowsAtCompileTime
   };
 
-  inline static void run(Derived1 &dst, const Derived2 &src)
+  static inline void run(Derived1 &dst, const Derived2 &src)
   {
     triangular_assignment_selector<Derived1, Derived2, (SelfAdjoint|Lower), UnrollCount-1, ClearOpposite>::run(dst, src);
 
@@ -261,14 +263,14 @@ struct triangular_assignment_selector<Derived1, Derived2, (SelfAdjoint|Lower), U
 template<typename Derived1, typename Derived2, bool ClearOpposite>
 struct triangular_assignment_selector<Derived1, Derived2, SelfAdjoint|Lower, 0, ClearOpposite>
 {
-  inline static void run(Derived1 &, const Derived2 &) {}
+  static inline void run(Derived1 &, const Derived2 &) {}
 };
 
 template<typename Derived1, typename Derived2, bool ClearOpposite>
 struct triangular_assignment_selector<Derived1, Derived2, SelfAdjoint|Upper, Dynamic, ClearOpposite>
 {
   typedef typename Derived1::Index Index;
-  inline static void run(Derived1 &dst, const Derived2 &src)
+  static inline void run(Derived1 &dst, const Derived2 &src)
   {
     for(Index j = 0; j < dst.cols(); ++j)
     {
@@ -285,7 +287,7 @@ struct triangular_assignment_selector<Derived1, Derived2, SelfAdjoint|Upper, Dyn
 template<typename Derived1, typename Derived2, bool ClearOpposite>
 struct triangular_assignment_selector<Derived1, Derived2, SelfAdjoint|Lower, Dynamic, ClearOpposite>
 {
-  inline static void run(Derived1 &dst, const Derived2 &src)
+  static inline void run(Derived1 &dst, const Derived2 &src)
   {
   typedef typename Derived1::Index Index;
     for(Index i = 0; i < dst.rows(); ++i)
@@ -322,4 +324,6 @@ MatrixBase<Derived>::selfadjointView()
   return derived();
 }
 
+} // end namespace Eigen
+
 #endif // EIGEN_SELFADJOINTMATRIX_H
diff --git a/extern/Eigen3/Eigen/src/Core/SelfCwiseBinaryOp.h b/extern/Eigen3/Eigen/src/Core/SelfCwiseBinaryOp.h
index 4e9ca88745d..99389d7e257 100644
--- a/extern/Eigen3/Eigen/src/Core/SelfCwiseBinaryOp.h
+++ b/extern/Eigen3/Eigen/src/Core/SelfCwiseBinaryOp.h
@@ -25,6 +25,8 @@
 #ifndef EIGEN_SELFCWISEBINARYOP_H
 #define EIGEN_SELFCWISEBINARYOP_H
 
+namespace Eigen { 
+
 /** \class SelfCwiseBinaryOp
   * \ingroup Core_Module
   *
@@ -163,6 +165,16 @@ template<typename BinaryOp, typename Lhs, typename Rhs> class SelfCwiseBinaryOp
       return Base::operator=(rhs);
     }
 
+    Lhs& expression() const 
+    { 
+      return m_matrix;
+    }
+
+    const BinaryOp& functor() const 
+    { 
+      return m_functor;
+    }
+
   protected:
     Lhs& m_matrix;
     const BinaryOp& m_functor;
@@ -192,4 +204,6 @@ inline Derived& DenseBase<Derived>::operator/=(const Scalar& other)
   return derived();
 }
 
+} // end namespace Eigen
+
 #endif // EIGEN_SELFCWISEBINARYOP_H
diff --git a/extern/Eigen3/Eigen/src/Core/SolveTriangular.h b/extern/Eigen3/Eigen/src/Core/SolveTriangular.h
index a23014a343f..fc8496a4eba 100644
--- a/extern/Eigen3/Eigen/src/Core/SolveTriangular.h
+++ b/extern/Eigen3/Eigen/src/Core/SolveTriangular.h
@@ -25,6 +25,8 @@
 #ifndef EIGEN_SOLVETRIANGULAR_H
 #define EIGEN_SOLVETRIANGULAR_H
 
+namespace Eigen { 
+
 namespace internal {
 
 // Forward declarations:
@@ -100,7 +102,7 @@ struct triangular_solver_selector<Lhs,Rhs,Side,Mode,NoUnrolling,Dynamic>
   typedef typename LhsProductTraits::DirectLinearAccessType ActualLhsType;
   static void run(const Lhs& lhs, Rhs& rhs)
   {
-    const ActualLhsType actualLhs = LhsProductTraits::extract(lhs);
+    typename internal::add_const_on_value_type<ActualLhsType>::type actualLhs = LhsProductTraits::extract(lhs);
     triangular_solve_matrix<Scalar,Index,Side,Mode,LhsProductTraits::NeedToConjugate,(int(Lhs::Flags) & RowMajorBit) ? RowMajor : ColMajor,
                                (Rhs::Flags&RowMajorBit) ? RowMajor : ColMajor>
       ::run(lhs.rows(), Side==OnTheLeft? rhs.cols() : rhs.rows(), &actualLhs.coeffRef(0,0), actualLhs.outerStride(), &rhs.coeffRef(0,0), rhs.outerStride());
@@ -177,10 +179,8 @@ template<int Side, typename OtherDerived>
 void TriangularView<MatrixType,Mode>::solveInPlace(const MatrixBase<OtherDerived>& _other) const
 {
   OtherDerived& other = _other.const_cast_derived();
-  eigen_assert(cols() == rows());
-  eigen_assert( (Side==OnTheLeft && cols() == other.rows()) || (Side==OnTheRight && cols() == other.cols()) );
-  eigen_assert(!(Mode & ZeroDiag));
-  eigen_assert((Mode & (Upper|Lower)) != 0);
+  eigen_assert( cols() == rows() && ((Side==OnTheLeft && cols() == other.rows()) || (Side==OnTheRight && cols() == other.cols())) );
+  eigen_assert((!(Mode & ZeroDiag)) && bool(Mode & (Upper|Lower)));
 
   enum { copy = internal::traits<OtherDerived>::Flags & RowMajorBit  && OtherDerived::IsVectorAtCompileTime };
   typedef typename internal::conditional<copy,
@@ -255,9 +255,11 @@ template<int Side, typename TriangularType, typename Rhs> struct triangular_solv
 
   protected:
     const TriangularType& m_triangularMatrix;
-    const typename Rhs::Nested m_rhs;
+    typename Rhs::Nested m_rhs;
 };
 
 } // namespace internal
 
+} // end namespace Eigen
+
 #endif // EIGEN_SOLVETRIANGULAR_H
diff --git a/extern/Eigen3/Eigen/src/Core/StableNorm.h b/extern/Eigen3/Eigen/src/Core/StableNorm.h
index f667272e4a4..16514c86a32 100644
--- a/extern/Eigen3/Eigen/src/Core/StableNorm.h
+++ b/extern/Eigen3/Eigen/src/Core/StableNorm.h
@@ -25,6 +25,8 @@
 #ifndef EIGEN_STABLENORM_H
 #define EIGEN_STABLENORM_H
 
+namespace Eigen { 
+
 namespace internal {
 template<typename ExpressionType, typename Scalar>
 inline void stable_norm_kernel(const ExpressionType& bl, Scalar& ssq, Scalar& scale, Scalar& invScale)
@@ -58,9 +60,9 @@ MatrixBase<Derived>::stableNorm() const
 {
   using std::min;
   const Index blockSize = 4096;
-  RealScalar scale = 0;
-  RealScalar invScale = 1;
-  RealScalar ssq = 0; // sum of square
+  RealScalar scale(0);
+  RealScalar invScale(1);
+  RealScalar ssq(0); // sum of square
   enum {
     Alignment = (int(Flags)&DirectAccessBit) || (int(Flags)&AlignedBit) ? 1 : 0
   };
@@ -187,4 +189,6 @@ MatrixBase<Derived>::hypotNorm() const
   return this->cwiseAbs().redux(internal::scalar_hypot_op<RealScalar>());
 }
 
+} // end namespace Eigen
+
 #endif // EIGEN_STABLENORM_H
diff --git a/extern/Eigen3/Eigen/src/Core/Stride.h b/extern/Eigen3/Eigen/src/Core/Stride.h
index 0430f111627..73c54e6bfd8 100644
--- a/extern/Eigen3/Eigen/src/Core/Stride.h
+++ b/extern/Eigen3/Eigen/src/Core/Stride.h
@@ -25,6 +25,8 @@
 #ifndef EIGEN_STRIDE_H
 #define EIGEN_STRIDE_H
 
+namespace Eigen { 
+
 /** \class Stride
   * \ingroup Core_Module
   *
@@ -116,4 +118,6 @@ class OuterStride : public Stride<Value, 0>
     OuterStride(Index v) : Base(v,0) {}
 };
 
+} // end namespace Eigen
+
 #endif // EIGEN_STRIDE_H
diff --git a/extern/Eigen3/Eigen/src/Core/Swap.h b/extern/Eigen3/Eigen/src/Core/Swap.h
index 5fb03286675..deb1d283188 100644
--- a/extern/Eigen3/Eigen/src/Core/Swap.h
+++ b/extern/Eigen3/Eigen/src/Core/Swap.h
@@ -25,6 +25,8 @@
 #ifndef EIGEN_SWAP_H
 #define EIGEN_SWAP_H
 
+namespace Eigen { 
+
 /** \class SwapWrapper
   * \ingroup Core_Module
   *
@@ -52,6 +54,15 @@ template<typename ExpressionType> class SwapWrapper
     inline Index cols() const { return m_expression.cols(); }
     inline Index outerStride() const { return m_expression.outerStride(); }
     inline Index innerStride() const { return m_expression.innerStride(); }
+    
+    typedef typename internal::conditional<
+                       internal::is_lvalue<ExpressionType>::value,
+                       Scalar,
+                       const Scalar
+                     >::type ScalarWithConstIfNotLvalue;
+                     
+    inline ScalarWithConstIfNotLvalue* data() { return m_expression.data(); }
+    inline const Scalar* data() const { return m_expression.data(); }
 
     inline Scalar& coeffRef(Index row, Index col)
     {
@@ -119,8 +130,12 @@ template<typename ExpressionType> class SwapWrapper
       _other.template writePacket<LoadMode>(index, tmp);
     }
 
+    ExpressionType& expression() const { return m_expression; }
+
   protected:
     ExpressionType& m_expression;
 };
 
+} // end namespace Eigen
+
 #endif // EIGEN_SWAP_H
diff --git a/extern/Eigen3/Eigen/src/Core/Transpose.h b/extern/Eigen3/Eigen/src/Core/Transpose.h
index 3f7c7df6ee1..c62f747641d 100644
--- a/extern/Eigen3/Eigen/src/Core/Transpose.h
+++ b/extern/Eigen3/Eigen/src/Core/Transpose.h
@@ -26,6 +26,8 @@
 #ifndef EIGEN_TRANSPOSE_H
 #define EIGEN_TRANSPOSE_H
 
+namespace Eigen { 
+
 /** \class Transpose
   * \ingroup Core_Module
   *
@@ -91,7 +93,7 @@ template<typename MatrixType> class Transpose
     nestedExpression() { return m_matrix.const_cast_derived(); }
 
   protected:
-    const typename MatrixType::Nested m_matrix;
+    typename MatrixType::Nested m_matrix;
 };
 
 namespace internal {
@@ -152,12 +154,12 @@ template<typename MatrixType> class TransposeImpl<MatrixType,Dense>
       return derived().nestedExpression().coeffRef(index);
     }
 
-    inline const CoeffReturnType coeff(Index row, Index col) const
+    inline CoeffReturnType coeff(Index row, Index col) const
     {
       return derived().nestedExpression().coeff(col, row);
     }
 
-    inline const CoeffReturnType coeff(Index index) const
+    inline CoeffReturnType coeff(Index index) const
     {
       return derived().nestedExpression().coeff(index);
     }
@@ -422,4 +424,6 @@ void DenseBase<Derived>::checkTransposeAliasing(const OtherDerived& other) const
 }
 #endif
 
+} // end namespace Eigen
+
 #endif // EIGEN_TRANSPOSE_H
diff --git a/extern/Eigen3/Eigen/src/Core/Transpositions.h b/extern/Eigen3/Eigen/src/Core/Transpositions.h
index 88fdfb2226f..fa37822f8bf 100644
--- a/extern/Eigen3/Eigen/src/Core/Transpositions.h
+++ b/extern/Eigen3/Eigen/src/Core/Transpositions.h
@@ -25,6 +25,8 @@
 #ifndef EIGEN_TRANSPOSITIONS_H
 #define EIGEN_TRANSPOSITIONS_H
 
+namespace Eigen { 
+
 /** \class Transpositions
   * \ingroup Core_Module
   *
@@ -404,7 +406,7 @@ struct transposition_matrix_product_retval
 
   protected:
     const TranspositionType& m_transpositions;
-    const typename MatrixType::Nested m_matrix;
+    typename MatrixType::Nested m_matrix;
 };
 
 } // end namespace internal
@@ -444,4 +446,6 @@ class Transpose<TranspositionsBase<TranspositionsDerived> >
     const TranspositionType& m_transpositions;
 };
 
+} // end namespace Eigen
+
 #endif // EIGEN_TRANSPOSITIONS_H
diff --git a/extern/Eigen3/Eigen/src/Core/TriangularMatrix.h b/extern/Eigen3/Eigen/src/Core/TriangularMatrix.h
index 033e81036f3..5e97e40528c 100644
--- a/extern/Eigen3/Eigen/src/Core/TriangularMatrix.h
+++ b/extern/Eigen3/Eigen/src/Core/TriangularMatrix.h
@@ -26,6 +26,8 @@
 #ifndef EIGEN_TRIANGULARMATRIX_H
 #define EIGEN_TRIANGULARMATRIX_H
 
+namespace Eigen { 
+
 namespace internal {
   
 template<int Side, typename TriangularType, typename Rhs> struct triangular_solve_retval;
@@ -273,11 +275,8 @@ template<typename _MatrixType, unsigned int _Mode> class TriangularView
     inline const TriangularView<MatrixConjugateReturnType,Mode> conjugate() const
     { return m_matrix.conjugate(); }
 
-    /** \sa MatrixBase::adjoint() */
-    inline TriangularView<typename MatrixType::AdjointReturnType,TransposeMode> adjoint()
-    { return m_matrix.adjoint(); }
     /** \sa MatrixBase::adjoint() const */
-    inline const TriangularView<typename MatrixType::AdjointReturnType,TransposeMode> adjoint() const
+    inline const TriangularView<const typename MatrixType::AdjointReturnType,TransposeMode> adjoint() const
     { return m_matrix.adjoint(); }
 
     /** \sa MatrixBase::transpose() */
@@ -288,11 +287,13 @@ template<typename _MatrixType, unsigned int _Mode> class TriangularView
     }
     /** \sa MatrixBase::transpose() const */
     inline const TriangularView<Transpose<MatrixType>,TransposeMode> transpose() const
-    { return m_matrix.transpose(); }
+    {
+      return m_matrix.transpose();
+    }
 
     /** Efficient triangular matrix times vector/matrix product */
     template<typename OtherDerived>
-    TriangularProduct<Mode,true,MatrixType,false,OtherDerived,OtherDerived::IsVectorAtCompileTime>
+    TriangularProduct<Mode,true,MatrixType,false,OtherDerived, OtherDerived::IsVectorAtCompileTime>
     operator*(const MatrixBase<OtherDerived>& rhs) const
     {
       return TriangularProduct
@@ -375,7 +376,8 @@ template<typename _MatrixType, unsigned int _Mode> class TriangularView
     template<typename OtherDerived>
     void swap(MatrixBase<OtherDerived> const & other)
     {
-      TriangularView<SwapWrapper<MatrixType>,Mode>(const_cast<MatrixType&>(m_matrix)).lazyAssign(other.derived());
+      SwapWrapper<MatrixType> swaper(const_cast<MatrixType&>(m_matrix));
+      TriangularView<SwapWrapper<MatrixType>,Mode>(swaper).lazyAssign(other.derived());
     }
 
     Scalar determinant() const
@@ -433,7 +435,7 @@ template<typename _MatrixType, unsigned int _Mode> class TriangularView
     template<typename ProductDerived, typename Lhs, typename Rhs>
     EIGEN_STRONG_INLINE TriangularView& assignProduct(const ProductBase<ProductDerived, Lhs,Rhs>& prod, const Scalar& alpha);
 
-    const MatrixTypeNested m_matrix;
+    MatrixTypeNested m_matrix;
 };
 
 /***************************************************************************
@@ -452,7 +454,7 @@ struct triangular_assignment_selector
   
   typedef typename Derived1::Scalar Scalar;
 
-  inline static void run(Derived1 &dst, const Derived2 &src)
+  static inline void run(Derived1 &dst, const Derived2 &src)
   {
     triangular_assignment_selector<Derived1, Derived2, Mode, UnrollCount-1, ClearOpposite>::run(dst, src);
 
@@ -480,7 +482,7 @@ struct triangular_assignment_selector
 template<typename Derived1, typename Derived2, unsigned int Mode, bool ClearOpposite>
 struct triangular_assignment_selector<Derived1, Derived2, Mode, 0, ClearOpposite>
 {
-  inline static void run(Derived1 &, const Derived2 &) {}
+  static inline void run(Derived1 &, const Derived2 &) {}
 };
 
 template<typename Derived1, typename Derived2, bool ClearOpposite>
@@ -488,7 +490,7 @@ struct triangular_assignment_selector<Derived1, Derived2, Upper, Dynamic, ClearO
 {
   typedef typename Derived1::Index Index;
   typedef typename Derived1::Scalar Scalar;
-  inline static void run(Derived1 &dst, const Derived2 &src)
+  static inline void run(Derived1 &dst, const Derived2 &src)
   {
     for(Index j = 0; j < dst.cols(); ++j)
     {
@@ -506,7 +508,7 @@ template<typename Derived1, typename Derived2, bool ClearOpposite>
 struct triangular_assignment_selector<Derived1, Derived2, Lower, Dynamic, ClearOpposite>
 {
   typedef typename Derived1::Index Index;
-  inline static void run(Derived1 &dst, const Derived2 &src)
+  static inline void run(Derived1 &dst, const Derived2 &src)
   {
     for(Index j = 0; j < dst.cols(); ++j)
     {
@@ -524,7 +526,7 @@ template<typename Derived1, typename Derived2, bool ClearOpposite>
 struct triangular_assignment_selector<Derived1, Derived2, StrictlyUpper, Dynamic, ClearOpposite>
 {
   typedef typename Derived1::Index Index;
-  inline static void run(Derived1 &dst, const Derived2 &src)
+  static inline void run(Derived1 &dst, const Derived2 &src)
   {
     for(Index j = 0; j < dst.cols(); ++j)
     {
@@ -542,7 +544,7 @@ template<typename Derived1, typename Derived2, bool ClearOpposite>
 struct triangular_assignment_selector<Derived1, Derived2, StrictlyLower, Dynamic, ClearOpposite>
 {
   typedef typename Derived1::Index Index;
-  inline static void run(Derived1 &dst, const Derived2 &src)
+  static inline void run(Derived1 &dst, const Derived2 &src)
   {
     for(Index j = 0; j < dst.cols(); ++j)
     {
@@ -560,7 +562,7 @@ template<typename Derived1, typename Derived2, bool ClearOpposite>
 struct triangular_assignment_selector<Derived1, Derived2, UnitUpper, Dynamic, ClearOpposite>
 {
   typedef typename Derived1::Index Index;
-  inline static void run(Derived1 &dst, const Derived2 &src)
+  static inline void run(Derived1 &dst, const Derived2 &src)
   {
     for(Index j = 0; j < dst.cols(); ++j)
     {
@@ -580,7 +582,7 @@ template<typename Derived1, typename Derived2, bool ClearOpposite>
 struct triangular_assignment_selector<Derived1, Derived2, UnitLower, Dynamic, ClearOpposite>
 {
   typedef typename Derived1::Index Index;
-  inline static void run(Derived1 &dst, const Derived2 &src)
+  static inline void run(Derived1 &dst, const Derived2 &src)
   {
     for(Index j = 0; j < dst.cols(); ++j)
     {
@@ -835,4 +837,6 @@ bool MatrixBase<Derived>::isLowerTriangular(RealScalar prec) const
   return true;
 }
 
+} // end namespace Eigen
+
 #endif // EIGEN_TRIANGULARMATRIX_H
diff --git a/extern/Eigen3/Eigen/src/Core/VectorBlock.h b/extern/Eigen3/Eigen/src/Core/VectorBlock.h
index 858e4c7865a..66c9fd21a6f 100644
--- a/extern/Eigen3/Eigen/src/Core/VectorBlock.h
+++ b/extern/Eigen3/Eigen/src/Core/VectorBlock.h
@@ -26,6 +26,8 @@
 #ifndef EIGEN_VECTORBLOCK_H
 #define EIGEN_VECTORBLOCK_H
 
+namespace Eigen { 
+
 /** \class VectorBlock
   * \ingroup Core_Module
   *
@@ -292,5 +294,6 @@ DenseBase<Derived>::tail() const
   return typename ConstFixedSegmentReturnType<Size>::Type(derived(), size() - Size);
 }
 
+} // end namespace Eigen
 
 #endif // EIGEN_VECTORBLOCK_H
diff --git a/extern/Eigen3/Eigen/src/Core/VectorwiseOp.h b/extern/Eigen3/Eigen/src/Core/VectorwiseOp.h
index 20f6881575b..7b5be7cd588 100644
--- a/extern/Eigen3/Eigen/src/Core/VectorwiseOp.h
+++ b/extern/Eigen3/Eigen/src/Core/VectorwiseOp.h
@@ -26,6 +26,8 @@
 #ifndef EIGEN_PARTIAL_REDUX_H
 #define EIGEN_PARTIAL_REDUX_H
 
+namespace Eigen { 
+
 /** \class PartialReduxExpr
   * \ingroup Core_Module
   *
@@ -110,7 +112,7 @@ class PartialReduxExpr : internal::no_assignment_operator,
     }
 
   protected:
-    const MatrixTypeNested m_matrix;
+    MatrixTypeNested m_matrix;
     const MemberOp m_functor;
 };
 
@@ -237,7 +239,10 @@ template<typename ExpressionType, int Direction> class VectorwiseOp
     typename ExtendedType<OtherDerived>::Type
     extendedTo(const DenseBase<OtherDerived>& other) const
     {
-      EIGEN_STATIC_ASSERT_VECTOR_ONLY(OtherDerived);
+      EIGEN_STATIC_ASSERT(EIGEN_IMPLIES(Direction==Vertical, OtherDerived::MaxColsAtCompileTime==1),
+                          YOU_PASSED_A_ROW_VECTOR_BUT_A_COLUMN_VECTOR_WAS_EXPECTED)
+      EIGEN_STATIC_ASSERT(EIGEN_IMPLIES(Direction==Horizontal, OtherDerived::MaxRowsAtCompileTime==1),
+                          YOU_PASSED_A_COLUMN_VECTOR_BUT_A_ROW_VECTOR_WAS_EXPECTED)
       return typename ExtendedType<OtherDerived>::Type
                       (other.derived(),
                        Direction==Vertical   ? 1 : m_matrix.rows(),
@@ -418,10 +423,9 @@ template<typename ExpressionType, int Direction> class VectorwiseOp
     ExpressionType& operator=(const DenseBase<OtherDerived>& other)
     {
       EIGEN_STATIC_ASSERT_VECTOR_ONLY(OtherDerived)
+      EIGEN_STATIC_ASSERT_SAME_XPR_KIND(ExpressionType, OtherDerived)
       //eigen_assert((m_matrix.isNull()) == (other.isNull())); FIXME
-      for(Index j=0; j<subVectors(); ++j)
-        subVector(j) = other;
-      return const_cast<ExpressionType&>(m_matrix);
+      return const_cast<ExpressionType&>(m_matrix = extendedTo(other.derived()));
     }
 
     /** Adds the vector \a other to each subvector of \c *this */
@@ -429,9 +433,8 @@ template<typename ExpressionType, int Direction> class VectorwiseOp
     ExpressionType& operator+=(const DenseBase<OtherDerived>& other)
     {
       EIGEN_STATIC_ASSERT_VECTOR_ONLY(OtherDerived)
-      for(Index j=0; j<subVectors(); ++j)
-        subVector(j) += other.derived();
-      return const_cast<ExpressionType&>(m_matrix);
+      EIGEN_STATIC_ASSERT_SAME_XPR_KIND(ExpressionType, OtherDerived)
+      return const_cast<ExpressionType&>(m_matrix += extendedTo(other.derived()));
     }
 
     /** Substracts the vector \a other to each subvector of \c *this */
@@ -439,8 +442,29 @@ template<typename ExpressionType, int Direction> class VectorwiseOp
     ExpressionType& operator-=(const DenseBase<OtherDerived>& other)
     {
       EIGEN_STATIC_ASSERT_VECTOR_ONLY(OtherDerived)
-      for(Index j=0; j<subVectors(); ++j)
-        subVector(j) -= other.derived();
+      EIGEN_STATIC_ASSERT_SAME_XPR_KIND(ExpressionType, OtherDerived)
+      return const_cast<ExpressionType&>(m_matrix -= extendedTo(other.derived()));
+    }
+
+    /** Multiples each subvector of \c *this by the vector \a other */
+    template<typename OtherDerived>
+    ExpressionType& operator*=(const DenseBase<OtherDerived>& other)
+    {
+      EIGEN_STATIC_ASSERT_VECTOR_ONLY(OtherDerived)
+      EIGEN_STATIC_ASSERT_ARRAYXPR(ExpressionType)
+      EIGEN_STATIC_ASSERT_SAME_XPR_KIND(ExpressionType, OtherDerived)
+      m_matrix *= extendedTo(other.derived());
+      return const_cast<ExpressionType&>(m_matrix);
+    }
+
+    /** Divides each subvector of \c *this by the vector \a other */
+    template<typename OtherDerived>
+    ExpressionType& operator/=(const DenseBase<OtherDerived>& other)
+    {
+      EIGEN_STATIC_ASSERT_VECTOR_ONLY(OtherDerived)
+      EIGEN_STATIC_ASSERT_ARRAYXPR(ExpressionType)
+      EIGEN_STATIC_ASSERT_SAME_XPR_KIND(ExpressionType, OtherDerived)
+      m_matrix /= extendedTo(other.derived());
       return const_cast<ExpressionType&>(m_matrix);
     }
 
@@ -451,7 +475,8 @@ template<typename ExpressionType, int Direction> class VectorwiseOp
                   const typename ExtendedType<OtherDerived>::Type>
     operator+(const DenseBase<OtherDerived>& other) const
     {
-      EIGEN_STATIC_ASSERT_VECTOR_ONLY(OtherDerived);
+      EIGEN_STATIC_ASSERT_VECTOR_ONLY(OtherDerived)
+      EIGEN_STATIC_ASSERT_SAME_XPR_KIND(ExpressionType, OtherDerived)
       return m_matrix + extendedTo(other.derived());
     }
 
@@ -462,10 +487,39 @@ template<typename ExpressionType, int Direction> class VectorwiseOp
                   const typename ExtendedType<OtherDerived>::Type>
     operator-(const DenseBase<OtherDerived>& other) const
     {
-      EIGEN_STATIC_ASSERT_VECTOR_ONLY(OtherDerived);
+      EIGEN_STATIC_ASSERT_VECTOR_ONLY(OtherDerived)
+      EIGEN_STATIC_ASSERT_SAME_XPR_KIND(ExpressionType, OtherDerived)
       return m_matrix - extendedTo(other.derived());
     }
 
+    /** Returns the expression where each subvector is the product of the vector \a other
+      * by the corresponding subvector of \c *this */
+    template<typename OtherDerived> EIGEN_STRONG_INLINE
+    CwiseBinaryOp<internal::scalar_product_op<Scalar>,
+                  const ExpressionTypeNestedCleaned,
+                  const typename ExtendedType<OtherDerived>::Type>
+    operator*(const DenseBase<OtherDerived>& other) const
+    {
+      EIGEN_STATIC_ASSERT_VECTOR_ONLY(OtherDerived)
+      EIGEN_STATIC_ASSERT_ARRAYXPR(ExpressionType)
+      EIGEN_STATIC_ASSERT_SAME_XPR_KIND(ExpressionType, OtherDerived)
+      return m_matrix * extendedTo(other.derived());
+    }
+
+    /** Returns the expression where each subvector is the quotient of the corresponding
+      * subvector of \c *this by the vector \a other */
+    template<typename OtherDerived>
+    CwiseBinaryOp<internal::scalar_quotient_op<Scalar>,
+                  const ExpressionTypeNestedCleaned,
+                  const typename ExtendedType<OtherDerived>::Type>
+    operator/(const DenseBase<OtherDerived>& other) const
+    {
+      EIGEN_STATIC_ASSERT_VECTOR_ONLY(OtherDerived)
+      EIGEN_STATIC_ASSERT_ARRAYXPR(ExpressionType)
+      EIGEN_STATIC_ASSERT_SAME_XPR_KIND(ExpressionType, OtherDerived)
+      return m_matrix / extendedTo(other.derived());
+    }
+
 /////////// Geometry module ///////////
 
     #if EIGEN2_SUPPORT_STAGE > STAGE20_RESOLVE_API_CONFLICTS
@@ -509,7 +563,7 @@ template<typename ExpressionType, int Direction> class VectorwiseOp
   * Example: \include MatrixBase_colwise.cpp
   * Output: \verbinclude MatrixBase_colwise.out
   *
-  * \sa rowwise(), class VectorwiseOp
+  * \sa rowwise(), class VectorwiseOp, \ref TutorialReductionsVisitorsBroadcasting
   */
 template<typename Derived>
 inline const typename DenseBase<Derived>::ConstColwiseReturnType
@@ -520,7 +574,7 @@ DenseBase<Derived>::colwise() const
 
 /** \returns a writable VectorwiseOp wrapper of *this providing additional partial reduction operations
   *
-  * \sa rowwise(), class VectorwiseOp
+  * \sa rowwise(), class VectorwiseOp, \ref TutorialReductionsVisitorsBroadcasting
   */
 template<typename Derived>
 inline typename DenseBase<Derived>::ColwiseReturnType
@@ -534,7 +588,7 @@ DenseBase<Derived>::colwise()
   * Example: \include MatrixBase_rowwise.cpp
   * Output: \verbinclude MatrixBase_rowwise.out
   *
-  * \sa colwise(), class VectorwiseOp
+  * \sa colwise(), class VectorwiseOp, \ref TutorialReductionsVisitorsBroadcasting
   */
 template<typename Derived>
 inline const typename DenseBase<Derived>::ConstRowwiseReturnType
@@ -545,7 +599,7 @@ DenseBase<Derived>::rowwise() const
 
 /** \returns a writable VectorwiseOp wrapper of *this providing additional partial reduction operations
   *
-  * \sa colwise(), class VectorwiseOp
+  * \sa colwise(), class VectorwiseOp, \ref TutorialReductionsVisitorsBroadcasting
   */
 template<typename Derived>
 inline typename DenseBase<Derived>::RowwiseReturnType
@@ -554,4 +608,6 @@ DenseBase<Derived>::rowwise()
   return derived();
 }
 
+} // end namespace Eigen
+
 #endif // EIGEN_PARTIAL_REDUX_H
diff --git a/extern/Eigen3/Eigen/src/Core/Visitor.h b/extern/Eigen3/Eigen/src/Core/Visitor.h
index 378ebcba174..fd04fd978a6 100644
--- a/extern/Eigen3/Eigen/src/Core/Visitor.h
+++ b/extern/Eigen3/Eigen/src/Core/Visitor.h
@@ -25,6 +25,8 @@
 #ifndef EIGEN_VISITOR_H
 #define EIGEN_VISITOR_H
 
+namespace Eigen { 
+
 namespace internal {
 
 template<typename Visitor, typename Derived, int UnrollCount>
@@ -35,7 +37,7 @@ struct visitor_impl
     row = (UnrollCount-1) % Derived::RowsAtCompileTime
   };
 
-  inline static void run(const Derived &mat, Visitor& visitor)
+  static inline void run(const Derived &mat, Visitor& visitor)
   {
     visitor_impl<Visitor, Derived, UnrollCount-1>::run(mat, visitor);
     visitor(mat.coeff(row, col), row, col);
@@ -45,7 +47,7 @@ struct visitor_impl
 template<typename Visitor, typename Derived>
 struct visitor_impl<Visitor, Derived, 1>
 {
-  inline static void run(const Derived &mat, Visitor& visitor)
+  static inline void run(const Derived &mat, Visitor& visitor)
   {
     return visitor.init(mat.coeff(0, 0), 0, 0);
   }
@@ -55,7 +57,7 @@ template<typename Visitor, typename Derived>
 struct visitor_impl<Visitor, Derived, Dynamic>
 {
   typedef typename Derived::Index Index;
-  inline static void run(const Derived& mat, Visitor& visitor)
+  static inline void run(const Derived& mat, Visitor& visitor)
   {
     visitor.init(mat.coeff(0,0), 0, 0);
     for(Index i = 1; i < mat.rows(); ++i)
@@ -245,4 +247,6 @@ DenseBase<Derived>::maxCoeff(IndexType* index) const
   return maxVisitor.res;
 }
 
+} // end namespace Eigen
+
 #endif // EIGEN_VISITOR_H
diff --git a/extern/Eigen3/Eigen/src/Core/arch/AltiVec/Complex.h b/extern/Eigen3/Eigen/src/Core/arch/AltiVec/Complex.h
index f8adf1b6385..b2d866b71c4 100644
--- a/extern/Eigen3/Eigen/src/Core/arch/AltiVec/Complex.h
+++ b/extern/Eigen3/Eigen/src/Core/arch/AltiVec/Complex.h
@@ -25,6 +25,8 @@
 #ifndef EIGEN_COMPLEX_ALTIVEC_H
 #define EIGEN_COMPLEX_ALTIVEC_H
 
+namespace Eigen {
+
 namespace internal {
 
 static Packet4ui  p4ui_CONJ_XOR = vec_mergeh((Packet4ui)p4i_ZERO, (Packet4ui)p4f_ZERO_);//{ 0x00000000, 0x80000000, 0x00000000, 0x80000000 };
@@ -168,7 +170,7 @@ template<> EIGEN_STRONG_INLINE std::complex<float> predux_mul<Packet2cf>(const P
 template<int Offset>
 struct palign_impl<Offset,Packet2cf>
 {
-  EIGEN_STRONG_INLINE static void run(Packet2cf& first, const Packet2cf& second)
+  static EIGEN_STRONG_INLINE void run(Packet2cf& first, const Packet2cf& second)
   {
     if (Offset==1)
     {
@@ -225,4 +227,6 @@ template<> EIGEN_STRONG_INLINE Packet2cf pcplxflip<Packet2cf>(const Packet2cf& x
 
 } // end namespace internal
 
+} // end namespace Eigen
+
 #endif // EIGEN_COMPLEX_ALTIVEC_H
diff --git a/extern/Eigen3/Eigen/src/Core/arch/AltiVec/PacketMath.h b/extern/Eigen3/Eigen/src/Core/arch/AltiVec/PacketMath.h
index dc34ebbd660..5b62b4c3118 100644
--- a/extern/Eigen3/Eigen/src/Core/arch/AltiVec/PacketMath.h
+++ b/extern/Eigen3/Eigen/src/Core/arch/AltiVec/PacketMath.h
@@ -25,6 +25,8 @@
 #ifndef EIGEN_PACKET_MATH_ALTIVEC_H
 #define EIGEN_PACKET_MATH_ALTIVEC_H
 
+namespace Eigen {
+
 namespace internal {
 
 #ifndef EIGEN_CACHEFRIENDLY_PRODUCT_THRESHOLD
@@ -487,7 +489,7 @@ template<> EIGEN_STRONG_INLINE int predux_max<Packet4i>(const Packet4i& a)
 template<int Offset>
 struct palign_impl<Offset,Packet4f>
 {
-  EIGEN_STRONG_INLINE static void run(Packet4f& first, const Packet4f& second)
+  static EIGEN_STRONG_INLINE void run(Packet4f& first, const Packet4f& second)
   {
     if (Offset!=0)
       first = vec_sld(first, second, Offset*4);
@@ -497,7 +499,7 @@ struct palign_impl<Offset,Packet4f>
 template<int Offset>
 struct palign_impl<Offset,Packet4i>
 {
-  EIGEN_STRONG_INLINE static void run(Packet4i& first, const Packet4i& second)
+  static EIGEN_STRONG_INLINE void run(Packet4i& first, const Packet4i& second)
   {
     if (Offset!=0)
       first = vec_sld(first, second, Offset*4);
@@ -506,4 +508,6 @@ struct palign_impl<Offset,Packet4i>
 
 } // end namespace internal
 
+} // end namespace Eigen
+
 #endif // EIGEN_PACKET_MATH_ALTIVEC_H
diff --git a/extern/Eigen3/Eigen/src/Core/arch/NEON/Complex.h b/extern/Eigen3/Eigen/src/Core/arch/NEON/Complex.h
index 212887184c2..72abb6f4a2a 100644
--- a/extern/Eigen3/Eigen/src/Core/arch/NEON/Complex.h
+++ b/extern/Eigen3/Eigen/src/Core/arch/NEON/Complex.h
@@ -25,6 +25,8 @@
 #ifndef EIGEN_COMPLEX_NEON_H
 #define EIGEN_COMPLEX_NEON_H
 
+namespace Eigen {
+
 namespace internal {
 
 static uint32x4_t p4ui_CONJ_XOR = EIGEN_INIT_NEON_PACKET4(0x00000000, 0x80000000, 0x00000000, 0x80000000);
@@ -267,4 +269,6 @@ template<> EIGEN_STRONG_INLINE Packet2cf pdiv<Packet2cf>(const Packet2cf& a, con
 
 } // end namespace internal
 
+} // end namespace Eigen
+
 #endif // EIGEN_COMPLEX_NEON_H
diff --git a/extern/Eigen3/Eigen/src/Core/arch/NEON/PacketMath.h b/extern/Eigen3/Eigen/src/Core/arch/NEON/PacketMath.h
index 6c7cd159097..7868539ba36 100644
--- a/extern/Eigen3/Eigen/src/Core/arch/NEON/PacketMath.h
+++ b/extern/Eigen3/Eigen/src/Core/arch/NEON/PacketMath.h
@@ -27,6 +27,8 @@
 #ifndef EIGEN_PACKET_MATH_NEON_H
 #define EIGEN_PACKET_MATH_NEON_H
 
+namespace Eigen {
+
 namespace internal {
 
 #ifndef EIGEN_CACHEFRIENDLY_PRODUCT_THRESHOLD
@@ -431,4 +433,6 @@ PALIGN_NEON(3,Packet4i,vextq_s32)
 
 } // end namespace internal
 
+} // end namespace Eigen
+
 #endif // EIGEN_PACKET_MATH_NEON_H
diff --git a/extern/Eigen3/Eigen/src/Core/arch/SSE/Complex.h b/extern/Eigen3/Eigen/src/Core/arch/SSE/Complex.h
index c352bb3e6cf..1615886ac3d 100644
--- a/extern/Eigen3/Eigen/src/Core/arch/SSE/Complex.h
+++ b/extern/Eigen3/Eigen/src/Core/arch/SSE/Complex.h
@@ -25,6 +25,8 @@
 #ifndef EIGEN_COMPLEX_SSE_H
 #define EIGEN_COMPLEX_SSE_H
 
+namespace Eigen {
+
 namespace internal {
 
 //---------- float ----------
@@ -102,7 +104,7 @@ template<> EIGEN_STRONG_INLINE Packet2cf pset1<Packet2cf>(const std::complex<flo
   Packet2cf res;
   #if EIGEN_GNUC_AT_MOST(4,2)
   // workaround annoying "may be used uninitialized in this function" warning with gcc 4.2
-  res.v = _mm_loadl_pi(_mm_set1_ps(0.0f), (const __m64*)&from);
+  res.v = _mm_loadl_pi(_mm_set1_ps(0.0f), reinterpret_cast<const __m64*>(&from));
   #else
   res.v = _mm_loadl_pi(res.v, (const __m64*)&from);
   #endif
@@ -151,7 +153,7 @@ template<> EIGEN_STRONG_INLINE std::complex<float> predux_mul<Packet2cf>(const P
 template<int Offset>
 struct palign_impl<Offset,Packet2cf>
 {
-  EIGEN_STRONG_INLINE static void run(Packet2cf& first, const Packet2cf& second)
+  static EIGEN_STRONG_INLINE void run(Packet2cf& first, const Packet2cf& second)
   {
     if (Offset==1)
     {
@@ -350,7 +352,7 @@ template<> EIGEN_STRONG_INLINE std::complex<double> predux_mul<Packet1cd>(const
 template<int Offset>
 struct palign_impl<Offset,Packet1cd>
 {
-  EIGEN_STRONG_INLINE static void run(Packet1cd& /*first*/, const Packet1cd& /*second*/)
+  static EIGEN_STRONG_INLINE void run(Packet1cd& /*first*/, const Packet1cd& /*second*/)
   {
     // FIXME is it sure we never have to align a Packet1cd?
     // Even though a std::complex<double> has 16 bytes, it is not necessarily aligned on a 16 bytes boundary...
@@ -444,4 +446,6 @@ EIGEN_STRONG_INLINE Packet1cd pcplxflip/*<Packet1cd>*/(const Packet1cd& x)
 
 } // end namespace internal
 
+} // end namespace Eigen
+
 #endif // EIGEN_COMPLEX_SSE_H
diff --git a/extern/Eigen3/Eigen/src/Core/arch/SSE/MathFunctions.h b/extern/Eigen3/Eigen/src/Core/arch/SSE/MathFunctions.h
index 9d56d82180b..e00f16e808b 100644
--- a/extern/Eigen3/Eigen/src/Core/arch/SSE/MathFunctions.h
+++ b/extern/Eigen3/Eigen/src/Core/arch/SSE/MathFunctions.h
@@ -30,6 +30,8 @@
 #ifndef EIGEN_MATH_FUNCTIONS_SSE_H
 #define EIGEN_MATH_FUNCTIONS_SSE_H
 
+namespace Eigen {
+
 namespace internal {
 
 template<> EIGEN_DEFINE_FUNCTION_ALLOWING_MULTIPLE_DEFINITIONS EIGEN_UNUSED
@@ -392,4 +394,6 @@ Packet4f psqrt<Packet4f>(const Packet4f& _x)
 
 } // end namespace internal
 
+} // end namespace Eigen
+
 #endif // EIGEN_MATH_FUNCTIONS_SSE_H
diff --git a/extern/Eigen3/Eigen/src/Core/arch/SSE/PacketMath.h b/extern/Eigen3/Eigen/src/Core/arch/SSE/PacketMath.h
index 908e27368e8..8faeeefc93a 100644
--- a/extern/Eigen3/Eigen/src/Core/arch/SSE/PacketMath.h
+++ b/extern/Eigen3/Eigen/src/Core/arch/SSE/PacketMath.h
@@ -25,6 +25,8 @@
 #ifndef EIGEN_PACKET_MATH_SSE_H
 #define EIGEN_PACKET_MATH_SSE_H
 
+namespace Eigen {
+
 namespace internal {
 
 #ifndef EIGEN_CACHEFRIENDLY_PRODUCT_THRESHOLD
@@ -110,9 +112,18 @@ template<> struct unpacket_traits<Packet4f> { typedef float  type; enum {size=4}
 template<> struct unpacket_traits<Packet2d> { typedef double type; enum {size=2}; };
 template<> struct unpacket_traits<Packet4i> { typedef int    type; enum {size=4}; };
 
+#if defined(_MSC_VER) && (_MSC_VER==1500)
+// Workaround MSVC 9 internal compiler error.
+// TODO: It has been detected with win64 builds (amd64), so let's check whether it also happens in 32bits+SSE mode
+// TODO: let's check whether there does not exist a better fix, like adding a pset0() function. (it crashed on pset1(0)).
+template<> EIGEN_STRONG_INLINE Packet4f pset1<Packet4f>(const float&  from) { return _mm_set_ps(from,from,from,from); }
+template<> EIGEN_STRONG_INLINE Packet2d pset1<Packet2d>(const double& from) { return _mm_set_pd(from,from); }
+template<> EIGEN_STRONG_INLINE Packet4i pset1<Packet4i>(const int&    from) { return _mm_set_epi32(from,from,from,from); }
+#else
 template<> EIGEN_STRONG_INLINE Packet4f pset1<Packet4f>(const float&  from) { return _mm_set1_ps(from); }
 template<> EIGEN_STRONG_INLINE Packet2d pset1<Packet2d>(const double& from) { return _mm_set1_pd(from); }
 template<> EIGEN_STRONG_INLINE Packet4i pset1<Packet4i>(const int&    from) { return _mm_set1_epi32(from); }
+#endif
 
 template<> EIGEN_STRONG_INLINE Packet4f plset<float>(const float& a) { return _mm_add_ps(pset1<Packet4f>(a), _mm_set_ps(3,2,1,0)); }
 template<> EIGEN_STRONG_INLINE Packet2d plset<double>(const double& a) { return _mm_add_pd(pset1<Packet2d>(a),_mm_set_pd(1,0)); }
@@ -282,7 +293,7 @@ template<> EIGEN_STRONG_INLINE Packet4i ploadu<Packet4i>(const int* from)
 
 template<> EIGEN_STRONG_INLINE Packet4f ploaddup<Packet4f>(const float*   from)
 {
-  return vec4f_swizzle1(_mm_castpd_ps(_mm_load_sd((const double*)from)), 0, 0, 1, 1);
+  return vec4f_swizzle1(_mm_castpd_ps(_mm_load_sd(reinterpret_cast<const double*>(from))), 0, 0, 1, 1);
 }
 template<> EIGEN_STRONG_INLINE Packet2d ploaddup<Packet2d>(const double*  from)
 { return pset1<Packet2d>(from[0]); }
@@ -302,8 +313,8 @@ template<> EIGEN_STRONG_INLINE void pstoreu<double>(double* to, const Packet2d&
   _mm_storel_pd((to), from);
   _mm_storeh_pd((to+1), from);
 }
-template<> EIGEN_STRONG_INLINE void pstoreu<float>(float*  to, const Packet4f& from) { EIGEN_DEBUG_UNALIGNED_STORE pstoreu((double*)to, _mm_castps_pd(from)); }
-template<> EIGEN_STRONG_INLINE void pstoreu<int>(int*      to, const Packet4i& from) { EIGEN_DEBUG_UNALIGNED_STORE pstoreu((double*)to, _mm_castsi128_pd(from)); }
+template<> EIGEN_STRONG_INLINE void pstoreu<float>(float*  to, const Packet4f& from) { EIGEN_DEBUG_UNALIGNED_STORE pstoreu(reinterpret_cast<double*>(to), _mm_castps_pd(from)); }
+template<> EIGEN_STRONG_INLINE void pstoreu<int>(int*      to, const Packet4i& from) { EIGEN_DEBUG_UNALIGNED_STORE pstoreu(reinterpret_cast<double*>(to), _mm_castsi128_pd(from)); }
 
 // some compilers might be tempted to perform multiple moves instead of using a vector path.
 template<> EIGEN_STRONG_INLINE void pstore1<Packet4f>(float* to, const float& a)
@@ -541,7 +552,7 @@ template<> EIGEN_STRONG_INLINE int predux_max<Packet4i>(const Packet4i& a)
 template<int Offset>
 struct palign_impl<Offset,Packet4f>
 {
-  EIGEN_STRONG_INLINE static void run(Packet4f& first, const Packet4f& second)
+  static EIGEN_STRONG_INLINE void run(Packet4f& first, const Packet4f& second)
   {
     if (Offset!=0)
       first = _mm_castsi128_ps(_mm_alignr_epi8(_mm_castps_si128(second), _mm_castps_si128(first), Offset*4));
@@ -551,7 +562,7 @@ struct palign_impl<Offset,Packet4f>
 template<int Offset>
 struct palign_impl<Offset,Packet4i>
 {
-  EIGEN_STRONG_INLINE static void run(Packet4i& first, const Packet4i& second)
+  static EIGEN_STRONG_INLINE void run(Packet4i& first, const Packet4i& second)
   {
     if (Offset!=0)
       first = _mm_alignr_epi8(second,first, Offset*4);
@@ -561,7 +572,7 @@ struct palign_impl<Offset,Packet4i>
 template<int Offset>
 struct palign_impl<Offset,Packet2d>
 {
-  EIGEN_STRONG_INLINE static void run(Packet2d& first, const Packet2d& second)
+  static EIGEN_STRONG_INLINE void run(Packet2d& first, const Packet2d& second)
   {
     if (Offset==1)
       first = _mm_castsi128_pd(_mm_alignr_epi8(_mm_castpd_si128(second), _mm_castpd_si128(first), 8));
@@ -572,7 +583,7 @@ struct palign_impl<Offset,Packet2d>
 template<int Offset>
 struct palign_impl<Offset,Packet4f>
 {
-  EIGEN_STRONG_INLINE static void run(Packet4f& first, const Packet4f& second)
+  static EIGEN_STRONG_INLINE void run(Packet4f& first, const Packet4f& second)
   {
     if (Offset==1)
     {
@@ -595,7 +606,7 @@ struct palign_impl<Offset,Packet4f>
 template<int Offset>
 struct palign_impl<Offset,Packet4i>
 {
-  EIGEN_STRONG_INLINE static void run(Packet4i& first, const Packet4i& second)
+  static EIGEN_STRONG_INLINE void run(Packet4i& first, const Packet4i& second)
   {
     if (Offset==1)
     {
@@ -618,7 +629,7 @@ struct palign_impl<Offset,Packet4i>
 template<int Offset>
 struct palign_impl<Offset,Packet2d>
 {
-  EIGEN_STRONG_INLINE static void run(Packet2d& first, const Packet2d& second)
+  static EIGEN_STRONG_INLINE void run(Packet2d& first, const Packet2d& second)
   {
     if (Offset==1)
     {
@@ -631,4 +642,6 @@ struct palign_impl<Offset,Packet2d>
 
 } // end namespace internal
 
+} // end namespace Eigen
+
 #endif // EIGEN_PACKET_MATH_SSE_H
diff --git a/extern/Eigen3/Eigen/src/Core/products/CoeffBasedProduct.h b/extern/Eigen3/Eigen/src/Core/products/CoeffBasedProduct.h
index dc20f7e1e29..8f53c43ad71 100644
--- a/extern/Eigen3/Eigen/src/Core/products/CoeffBasedProduct.h
+++ b/extern/Eigen3/Eigen/src/Core/products/CoeffBasedProduct.h
@@ -26,6 +26,8 @@
 #ifndef EIGEN_COEFFBASED_PRODUCT_H
 #define EIGEN_COEFFBASED_PRODUCT_H
 
+namespace Eigen { 
+
 namespace internal {
 
 /*********************************************************************************
@@ -224,8 +226,8 @@ class CoeffBasedProduct
     { return reinterpret_cast<const LazyCoeffBasedProductType&>(*this).diagonal(index); }
 
   protected:
-    const LhsNested m_lhs;
-    const RhsNested m_rhs;
+    typename internal::add_const_on_value_type<LhsNested>::type m_lhs;
+    typename internal::add_const_on_value_type<RhsNested>::type m_rhs;
 
     mutable PlainObject m_result;
 };
@@ -252,7 +254,7 @@ template<int UnrollingIndex, typename Lhs, typename Rhs, typename RetScalar>
 struct product_coeff_impl<DefaultTraversal, UnrollingIndex, Lhs, Rhs, RetScalar>
 {
   typedef typename Lhs::Index Index;
-  EIGEN_STRONG_INLINE static void run(Index row, Index col, const Lhs& lhs, const Rhs& rhs, RetScalar &res)
+  static EIGEN_STRONG_INLINE void run(Index row, Index col, const Lhs& lhs, const Rhs& rhs, RetScalar &res)
   {
     product_coeff_impl<DefaultTraversal, UnrollingIndex-1, Lhs, Rhs, RetScalar>::run(row, col, lhs, rhs, res);
     res += lhs.coeff(row, UnrollingIndex) * rhs.coeff(UnrollingIndex, col);
@@ -263,7 +265,7 @@ template<typename Lhs, typename Rhs, typename RetScalar>
 struct product_coeff_impl<DefaultTraversal, 0, Lhs, Rhs, RetScalar>
 {
   typedef typename Lhs::Index Index;
-  EIGEN_STRONG_INLINE static void run(Index row, Index col, const Lhs& lhs, const Rhs& rhs, RetScalar &res)
+  static EIGEN_STRONG_INLINE void run(Index row, Index col, const Lhs& lhs, const Rhs& rhs, RetScalar &res)
   {
     res = lhs.coeff(row, 0) * rhs.coeff(0, col);
   }
@@ -273,7 +275,7 @@ template<typename Lhs, typename Rhs, typename RetScalar>
 struct product_coeff_impl<DefaultTraversal, Dynamic, Lhs, Rhs, RetScalar>
 {
   typedef typename Lhs::Index Index;
-  EIGEN_STRONG_INLINE static void run(Index row, Index col, const Lhs& lhs, const Rhs& rhs, RetScalar& res)
+  static EIGEN_STRONG_INLINE void run(Index row, Index col, const Lhs& lhs, const Rhs& rhs, RetScalar& res)
   {
     eigen_assert(lhs.cols()>0 && "you are using a non initialized matrix");
     res = lhs.coeff(row, 0) * rhs.coeff(0, col);
@@ -291,7 +293,7 @@ struct product_coeff_vectorized_unroller
 {
   typedef typename Lhs::Index Index;
   enum { PacketSize = packet_traits<typename Lhs::Scalar>::size };
-  EIGEN_STRONG_INLINE static void run(Index row, Index col, const Lhs& lhs, const Rhs& rhs, typename Lhs::PacketScalar &pres)
+  static EIGEN_STRONG_INLINE void run(Index row, Index col, const Lhs& lhs, const Rhs& rhs, typename Lhs::PacketScalar &pres)
   {
     product_coeff_vectorized_unroller<UnrollingIndex-PacketSize, Lhs, Rhs, Packet>::run(row, col, lhs, rhs, pres);
     pres = padd(pres, pmul( lhs.template packet<Aligned>(row, UnrollingIndex) , rhs.template packet<Aligned>(UnrollingIndex, col) ));
@@ -302,7 +304,7 @@ template<typename Lhs, typename Rhs, typename Packet>
 struct product_coeff_vectorized_unroller<0, Lhs, Rhs, Packet>
 {
   typedef typename Lhs::Index Index;
-  EIGEN_STRONG_INLINE static void run(Index row, Index col, const Lhs& lhs, const Rhs& rhs, typename Lhs::PacketScalar &pres)
+  static EIGEN_STRONG_INLINE void run(Index row, Index col, const Lhs& lhs, const Rhs& rhs, typename Lhs::PacketScalar &pres)
   {
     pres = pmul(lhs.template packet<Aligned>(row, 0) , rhs.template packet<Aligned>(0, col));
   }
@@ -314,7 +316,7 @@ struct product_coeff_impl<InnerVectorizedTraversal, UnrollingIndex, Lhs, Rhs, Re
   typedef typename Lhs::PacketScalar Packet;
   typedef typename Lhs::Index Index;
   enum { PacketSize = packet_traits<typename Lhs::Scalar>::size };
-  EIGEN_STRONG_INLINE static void run(Index row, Index col, const Lhs& lhs, const Rhs& rhs, RetScalar &res)
+  static EIGEN_STRONG_INLINE void run(Index row, Index col, const Lhs& lhs, const Rhs& rhs, RetScalar &res)
   {
     Packet pres;
     product_coeff_vectorized_unroller<UnrollingIndex+1-PacketSize, Lhs, Rhs, Packet>::run(row, col, lhs, rhs, pres);
@@ -327,7 +329,7 @@ template<typename Lhs, typename Rhs, int LhsRows = Lhs::RowsAtCompileTime, int R
 struct product_coeff_vectorized_dyn_selector
 {
   typedef typename Lhs::Index Index;
-  EIGEN_STRONG_INLINE static void run(Index row, Index col, const Lhs& lhs, const Rhs& rhs, typename Lhs::Scalar &res)
+  static EIGEN_STRONG_INLINE void run(Index row, Index col, const Lhs& lhs, const Rhs& rhs, typename Lhs::Scalar &res)
   {
     res = lhs.row(row).transpose().cwiseProduct(rhs.col(col)).sum();
   }
@@ -339,7 +341,7 @@ template<typename Lhs, typename Rhs, int RhsCols>
 struct product_coeff_vectorized_dyn_selector<Lhs,Rhs,1,RhsCols>
 {
   typedef typename Lhs::Index Index;
-  EIGEN_STRONG_INLINE static void run(Index /*row*/, Index col, const Lhs& lhs, const Rhs& rhs, typename Lhs::Scalar &res)
+  static EIGEN_STRONG_INLINE void run(Index /*row*/, Index col, const Lhs& lhs, const Rhs& rhs, typename Lhs::Scalar &res)
   {
     res = lhs.transpose().cwiseProduct(rhs.col(col)).sum();
   }
@@ -349,7 +351,7 @@ template<typename Lhs, typename Rhs, int LhsRows>
 struct product_coeff_vectorized_dyn_selector<Lhs,Rhs,LhsRows,1>
 {
   typedef typename Lhs::Index Index;
-  EIGEN_STRONG_INLINE static void run(Index row, Index /*col*/, const Lhs& lhs, const Rhs& rhs, typename Lhs::Scalar &res)
+  static EIGEN_STRONG_INLINE void run(Index row, Index /*col*/, const Lhs& lhs, const Rhs& rhs, typename Lhs::Scalar &res)
   {
     res = lhs.row(row).transpose().cwiseProduct(rhs).sum();
   }
@@ -359,7 +361,7 @@ template<typename Lhs, typename Rhs>
 struct product_coeff_vectorized_dyn_selector<Lhs,Rhs,1,1>
 {
   typedef typename Lhs::Index Index;
-  EIGEN_STRONG_INLINE static void run(Index /*row*/, Index /*col*/, const Lhs& lhs, const Rhs& rhs, typename Lhs::Scalar &res)
+  static EIGEN_STRONG_INLINE void run(Index /*row*/, Index /*col*/, const Lhs& lhs, const Rhs& rhs, typename Lhs::Scalar &res)
   {
     res = lhs.transpose().cwiseProduct(rhs).sum();
   }
@@ -369,7 +371,7 @@ template<typename Lhs, typename Rhs, typename RetScalar>
 struct product_coeff_impl<InnerVectorizedTraversal, Dynamic, Lhs, Rhs, RetScalar>
 {
   typedef typename Lhs::Index Index;
-  EIGEN_STRONG_INLINE static void run(Index row, Index col, const Lhs& lhs, const Rhs& rhs, typename Lhs::Scalar &res)
+  static EIGEN_STRONG_INLINE void run(Index row, Index col, const Lhs& lhs, const Rhs& rhs, typename Lhs::Scalar &res)
   {
     product_coeff_vectorized_dyn_selector<Lhs,Rhs>::run(row, col, lhs, rhs, res);
   }
@@ -383,7 +385,7 @@ template<int UnrollingIndex, typename Lhs, typename Rhs, typename Packet, int Lo
 struct product_packet_impl<RowMajor, UnrollingIndex, Lhs, Rhs, Packet, LoadMode>
 {
   typedef typename Lhs::Index Index;
-  EIGEN_STRONG_INLINE static void run(Index row, Index col, const Lhs& lhs, const Rhs& rhs, Packet &res)
+  static EIGEN_STRONG_INLINE void run(Index row, Index col, const Lhs& lhs, const Rhs& rhs, Packet &res)
   {
     product_packet_impl<RowMajor, UnrollingIndex-1, Lhs, Rhs, Packet, LoadMode>::run(row, col, lhs, rhs, res);
     res =  pmadd(pset1<Packet>(lhs.coeff(row, UnrollingIndex)), rhs.template packet<LoadMode>(UnrollingIndex, col), res);
@@ -394,7 +396,7 @@ template<int UnrollingIndex, typename Lhs, typename Rhs, typename Packet, int Lo
 struct product_packet_impl<ColMajor, UnrollingIndex, Lhs, Rhs, Packet, LoadMode>
 {
   typedef typename Lhs::Index Index;
-  EIGEN_STRONG_INLINE static void run(Index row, Index col, const Lhs& lhs, const Rhs& rhs, Packet &res)
+  static EIGEN_STRONG_INLINE void run(Index row, Index col, const Lhs& lhs, const Rhs& rhs, Packet &res)
   {
     product_packet_impl<ColMajor, UnrollingIndex-1, Lhs, Rhs, Packet, LoadMode>::run(row, col, lhs, rhs, res);
     res =  pmadd(lhs.template packet<LoadMode>(row, UnrollingIndex), pset1<Packet>(rhs.coeff(UnrollingIndex, col)), res);
@@ -405,7 +407,7 @@ template<typename Lhs, typename Rhs, typename Packet, int LoadMode>
 struct product_packet_impl<RowMajor, 0, Lhs, Rhs, Packet, LoadMode>
 {
   typedef typename Lhs::Index Index;
-  EIGEN_STRONG_INLINE static void run(Index row, Index col, const Lhs& lhs, const Rhs& rhs, Packet &res)
+  static EIGEN_STRONG_INLINE void run(Index row, Index col, const Lhs& lhs, const Rhs& rhs, Packet &res)
   {
     res = pmul(pset1<Packet>(lhs.coeff(row, 0)),rhs.template packet<LoadMode>(0, col));
   }
@@ -415,7 +417,7 @@ template<typename Lhs, typename Rhs, typename Packet, int LoadMode>
 struct product_packet_impl<ColMajor, 0, Lhs, Rhs, Packet, LoadMode>
 {
   typedef typename Lhs::Index Index;
-  EIGEN_STRONG_INLINE static void run(Index row, Index col, const Lhs& lhs, const Rhs& rhs, Packet &res)
+  static EIGEN_STRONG_INLINE void run(Index row, Index col, const Lhs& lhs, const Rhs& rhs, Packet &res)
   {
     res = pmul(lhs.template packet<LoadMode>(row, 0), pset1<Packet>(rhs.coeff(0, col)));
   }
@@ -425,7 +427,7 @@ template<typename Lhs, typename Rhs, typename Packet, int LoadMode>
 struct product_packet_impl<RowMajor, Dynamic, Lhs, Rhs, Packet, LoadMode>
 {
   typedef typename Lhs::Index Index;
-  EIGEN_STRONG_INLINE static void run(Index row, Index col, const Lhs& lhs, const Rhs& rhs, Packet& res)
+  static EIGEN_STRONG_INLINE void run(Index row, Index col, const Lhs& lhs, const Rhs& rhs, Packet& res)
   {
     eigen_assert(lhs.cols()>0 && "you are using a non initialized matrix");
     res = pmul(pset1<Packet>(lhs.coeff(row, 0)),rhs.template packet<LoadMode>(0, col));
@@ -438,7 +440,7 @@ template<typename Lhs, typename Rhs, typename Packet, int LoadMode>
 struct product_packet_impl<ColMajor, Dynamic, Lhs, Rhs, Packet, LoadMode>
 {
   typedef typename Lhs::Index Index;
-  EIGEN_STRONG_INLINE static void run(Index row, Index col, const Lhs& lhs, const Rhs& rhs, Packet& res)
+  static EIGEN_STRONG_INLINE void run(Index row, Index col, const Lhs& lhs, const Rhs& rhs, Packet& res)
   {
     eigen_assert(lhs.cols()>0 && "you are using a non initialized matrix");
     res = pmul(lhs.template packet<LoadMode>(row, 0), pset1<Packet>(rhs.coeff(0, col)));
@@ -449,4 +451,6 @@ struct product_packet_impl<ColMajor, Dynamic, Lhs, Rhs, Packet, LoadMode>
 
 } // end namespace internal
 
+} // end namespace Eigen
+
 #endif // EIGEN_COEFFBASED_PRODUCT_H
diff --git a/extern/Eigen3/Eigen/src/Core/products/GeneralBlockPanelKernel.h b/extern/Eigen3/Eigen/src/Core/products/GeneralBlockPanelKernel.h
index cd1c37c780e..e1937321463 100644
--- a/extern/Eigen3/Eigen/src/Core/products/GeneralBlockPanelKernel.h
+++ b/extern/Eigen3/Eigen/src/Core/products/GeneralBlockPanelKernel.h
@@ -25,12 +25,16 @@
 #ifndef EIGEN_GENERAL_BLOCK_PANEL_H
 #define EIGEN_GENERAL_BLOCK_PANEL_H
 
+namespace Eigen { 
+
 namespace internal {
 
 template<typename _LhsScalar, typename _RhsScalar, bool _ConjLhs=false, bool _ConjRhs=false>
 class gebp_traits;
 
-inline std::ptrdiff_t manage_caching_sizes_second_if_negative(std::ptrdiff_t a, std::ptrdiff_t b)
+
+/** \internal \returns b if a<=0, and returns a otherwise. */
+inline std::ptrdiff_t manage_caching_sizes_helper(std::ptrdiff_t a, std::ptrdiff_t b)
 {
   return a<=0 ? b : a;
 }
@@ -38,8 +42,8 @@ inline std::ptrdiff_t manage_caching_sizes_second_if_negative(std::ptrdiff_t a,
 /** \internal */
 inline void manage_caching_sizes(Action action, std::ptrdiff_t* l1=0, std::ptrdiff_t* l2=0)
 {
-  static std::ptrdiff_t m_l1CacheSize = manage_caching_sizes_second_if_negative(queryL1CacheSize(),8 * 1024);
-  static std::ptrdiff_t m_l2CacheSize = manage_caching_sizes_second_if_negative(queryTopLevelCacheSize(),1*1024*1024);
+  static std::ptrdiff_t m_l1CacheSize = manage_caching_sizes_helper(queryL1CacheSize(),8 * 1024);
+  static std::ptrdiff_t m_l2CacheSize = manage_caching_sizes_helper(queryTopLevelCacheSize(),1*1024*1024);
 
   if(action==SetAction)
   {
@@ -533,7 +537,7 @@ struct gebp_kernel
     ResPacketSize = Traits::ResPacketSize
   };
 
-  EIGEN_FLATTEN_ATTRIB
+  EIGEN_DONT_INLINE EIGEN_FLATTEN_ATTRIB
   void operator()(ResScalar* res, Index resStride, const LhsScalar* blockA, const RhsScalar* blockB, Index rows, Index depth, Index cols, ResScalar alpha,
                   Index strideA=-1, Index strideB=-1, Index offsetA=0, Index offsetB=0, RhsScalar* unpackedB = 0)
   {
@@ -595,64 +599,64 @@ struct gebp_kernel
           if(nr==2)
           {
             LhsPacket A0, A1;
-            RhsPacket B0;
+            RhsPacket B_0;
             RhsPacket T0;
             
 EIGEN_ASM_COMMENT("mybegin2");
             traits.loadLhs(&blA[0*LhsProgress], A0);
             traits.loadLhs(&blA[1*LhsProgress], A1);
-            traits.loadRhs(&blB[0*RhsProgress], B0);
-            traits.madd(A0,B0,C0,T0);
-            traits.madd(A1,B0,C4,B0);
-            traits.loadRhs(&blB[1*RhsProgress], B0);
-            traits.madd(A0,B0,C1,T0);
-            traits.madd(A1,B0,C5,B0);
+            traits.loadRhs(&blB[0*RhsProgress], B_0);
+            traits.madd(A0,B_0,C0,T0);
+            traits.madd(A1,B_0,C4,B_0);
+            traits.loadRhs(&blB[1*RhsProgress], B_0);
+            traits.madd(A0,B_0,C1,T0);
+            traits.madd(A1,B_0,C5,B_0);
 
             traits.loadLhs(&blA[2*LhsProgress], A0);
             traits.loadLhs(&blA[3*LhsProgress], A1);
-            traits.loadRhs(&blB[2*RhsProgress], B0);
-            traits.madd(A0,B0,C0,T0);
-            traits.madd(A1,B0,C4,B0);
-            traits.loadRhs(&blB[3*RhsProgress], B0);
-            traits.madd(A0,B0,C1,T0);
-            traits.madd(A1,B0,C5,B0);
+            traits.loadRhs(&blB[2*RhsProgress], B_0);
+            traits.madd(A0,B_0,C0,T0);
+            traits.madd(A1,B_0,C4,B_0);
+            traits.loadRhs(&blB[3*RhsProgress], B_0);
+            traits.madd(A0,B_0,C1,T0);
+            traits.madd(A1,B_0,C5,B_0);
 
             traits.loadLhs(&blA[4*LhsProgress], A0);
             traits.loadLhs(&blA[5*LhsProgress], A1);
-            traits.loadRhs(&blB[4*RhsProgress], B0);
-            traits.madd(A0,B0,C0,T0);
-            traits.madd(A1,B0,C4,B0);
-            traits.loadRhs(&blB[5*RhsProgress], B0);
-            traits.madd(A0,B0,C1,T0);
-            traits.madd(A1,B0,C5,B0);
+            traits.loadRhs(&blB[4*RhsProgress], B_0);
+            traits.madd(A0,B_0,C0,T0);
+            traits.madd(A1,B_0,C4,B_0);
+            traits.loadRhs(&blB[5*RhsProgress], B_0);
+            traits.madd(A0,B_0,C1,T0);
+            traits.madd(A1,B_0,C5,B_0);
 
             traits.loadLhs(&blA[6*LhsProgress], A0);
             traits.loadLhs(&blA[7*LhsProgress], A1);
-            traits.loadRhs(&blB[6*RhsProgress], B0);
-            traits.madd(A0,B0,C0,T0);
-            traits.madd(A1,B0,C4,B0);
-            traits.loadRhs(&blB[7*RhsProgress], B0);
-            traits.madd(A0,B0,C1,T0);
-            traits.madd(A1,B0,C5,B0);
+            traits.loadRhs(&blB[6*RhsProgress], B_0);
+            traits.madd(A0,B_0,C0,T0);
+            traits.madd(A1,B_0,C4,B_0);
+            traits.loadRhs(&blB[7*RhsProgress], B_0);
+            traits.madd(A0,B_0,C1,T0);
+            traits.madd(A1,B_0,C5,B_0);
 EIGEN_ASM_COMMENT("myend");
           }
           else
           {
 EIGEN_ASM_COMMENT("mybegin4");
             LhsPacket A0, A1;
-            RhsPacket B0, B1, B2, B3;
+            RhsPacket B_0, B1, B2, B3;
             RhsPacket T0;
             
             traits.loadLhs(&blA[0*LhsProgress], A0);
             traits.loadLhs(&blA[1*LhsProgress], A1);
-            traits.loadRhs(&blB[0*RhsProgress], B0);
+            traits.loadRhs(&blB[0*RhsProgress], B_0);
             traits.loadRhs(&blB[1*RhsProgress], B1);
 
-            traits.madd(A0,B0,C0,T0);
+            traits.madd(A0,B_0,C0,T0);
             traits.loadRhs(&blB[2*RhsProgress], B2);
-            traits.madd(A1,B0,C4,B0);
+            traits.madd(A1,B_0,C4,B_0);
             traits.loadRhs(&blB[3*RhsProgress], B3);
-            traits.loadRhs(&blB[4*RhsProgress], B0);
+            traits.loadRhs(&blB[4*RhsProgress], B_0);
             traits.madd(A0,B1,C1,T0);
             traits.madd(A1,B1,C5,B1);
             traits.loadRhs(&blB[5*RhsProgress], B1);
@@ -664,9 +668,9 @@ EIGEN_ASM_COMMENT("mybegin4");
             traits.madd(A1,B3,C7,B3);
             traits.loadLhs(&blA[3*LhsProgress], A1);
             traits.loadRhs(&blB[7*RhsProgress], B3);
-            traits.madd(A0,B0,C0,T0);
-            traits.madd(A1,B0,C4,B0);
-            traits.loadRhs(&blB[8*RhsProgress], B0);
+            traits.madd(A0,B_0,C0,T0);
+            traits.madd(A1,B_0,C4,B_0);
+            traits.loadRhs(&blB[8*RhsProgress], B_0);
             traits.madd(A0,B1,C1,T0);
             traits.madd(A1,B1,C5,B1);
             traits.loadRhs(&blB[9*RhsProgress], B1);
@@ -679,9 +683,9 @@ EIGEN_ASM_COMMENT("mybegin4");
             traits.loadLhs(&blA[5*LhsProgress], A1);
             traits.loadRhs(&blB[11*RhsProgress], B3);
 
-            traits.madd(A0,B0,C0,T0);
-            traits.madd(A1,B0,C4,B0);
-            traits.loadRhs(&blB[12*RhsProgress], B0);
+            traits.madd(A0,B_0,C0,T0);
+            traits.madd(A1,B_0,C4,B_0);
+            traits.loadRhs(&blB[12*RhsProgress], B_0);
             traits.madd(A0,B1,C1,T0);
             traits.madd(A1,B1,C5,B1);
             traits.loadRhs(&blB[13*RhsProgress], B1);
@@ -693,8 +697,8 @@ EIGEN_ASM_COMMENT("mybegin4");
             traits.madd(A1,B3,C7,B3);
             traits.loadLhs(&blA[7*LhsProgress], A1);
             traits.loadRhs(&blB[15*RhsProgress], B3);
-            traits.madd(A0,B0,C0,T0);
-            traits.madd(A1,B0,C4,B0);
+            traits.madd(A0,B_0,C0,T0);
+            traits.madd(A1,B_0,C4,B_0);
             traits.madd(A0,B1,C1,T0);
             traits.madd(A1,B1,C5,B1);
             traits.madd(A0,B2,C2,T0);
@@ -712,32 +716,32 @@ EIGEN_ASM_COMMENT("mybegin4");
           if(nr==2)
           {
             LhsPacket A0, A1;
-            RhsPacket B0;
+            RhsPacket B_0;
             RhsPacket T0;
 
             traits.loadLhs(&blA[0*LhsProgress], A0);
             traits.loadLhs(&blA[1*LhsProgress], A1);
-            traits.loadRhs(&blB[0*RhsProgress], B0);
-            traits.madd(A0,B0,C0,T0);
-            traits.madd(A1,B0,C4,B0);
-            traits.loadRhs(&blB[1*RhsProgress], B0);
-            traits.madd(A0,B0,C1,T0);
-            traits.madd(A1,B0,C5,B0);
+            traits.loadRhs(&blB[0*RhsProgress], B_0);
+            traits.madd(A0,B_0,C0,T0);
+            traits.madd(A1,B_0,C4,B_0);
+            traits.loadRhs(&blB[1*RhsProgress], B_0);
+            traits.madd(A0,B_0,C1,T0);
+            traits.madd(A1,B_0,C5,B_0);
           }
           else
           {
             LhsPacket A0, A1;
-            RhsPacket B0, B1, B2, B3;
+            RhsPacket B_0, B1, B2, B3;
             RhsPacket T0;
 
             traits.loadLhs(&blA[0*LhsProgress], A0);
             traits.loadLhs(&blA[1*LhsProgress], A1);
-            traits.loadRhs(&blB[0*RhsProgress], B0);
+            traits.loadRhs(&blB[0*RhsProgress], B_0);
             traits.loadRhs(&blB[1*RhsProgress], B1);
 
-            traits.madd(A0,B0,C0,T0);
+            traits.madd(A0,B_0,C0,T0);
             traits.loadRhs(&blB[2*RhsProgress], B2);
-            traits.madd(A1,B0,C4,B0);
+            traits.madd(A1,B_0,C4,B_0);
             traits.loadRhs(&blB[3*RhsProgress], B3);
             traits.madd(A0,B1,C1,T0);
             traits.madd(A1,B1,C5,B1);
@@ -824,42 +828,42 @@ EIGEN_ASM_COMMENT("mybegin4");
           if(nr==2)
           {
             LhsPacket A0;
-            RhsPacket B0, B1;
+            RhsPacket B_0, B1;
 
             traits.loadLhs(&blA[0*LhsProgress], A0);
-            traits.loadRhs(&blB[0*RhsProgress], B0);
+            traits.loadRhs(&blB[0*RhsProgress], B_0);
             traits.loadRhs(&blB[1*RhsProgress], B1);
-            traits.madd(A0,B0,C0,B0);
-            traits.loadRhs(&blB[2*RhsProgress], B0);
+            traits.madd(A0,B_0,C0,B_0);
+            traits.loadRhs(&blB[2*RhsProgress], B_0);
             traits.madd(A0,B1,C1,B1);
             traits.loadLhs(&blA[1*LhsProgress], A0);
             traits.loadRhs(&blB[3*RhsProgress], B1);
-            traits.madd(A0,B0,C0,B0);
-            traits.loadRhs(&blB[4*RhsProgress], B0);
+            traits.madd(A0,B_0,C0,B_0);
+            traits.loadRhs(&blB[4*RhsProgress], B_0);
             traits.madd(A0,B1,C1,B1);
             traits.loadLhs(&blA[2*LhsProgress], A0);
             traits.loadRhs(&blB[5*RhsProgress], B1);
-            traits.madd(A0,B0,C0,B0);
-            traits.loadRhs(&blB[6*RhsProgress], B0);
+            traits.madd(A0,B_0,C0,B_0);
+            traits.loadRhs(&blB[6*RhsProgress], B_0);
             traits.madd(A0,B1,C1,B1);
             traits.loadLhs(&blA[3*LhsProgress], A0);
             traits.loadRhs(&blB[7*RhsProgress], B1);
-            traits.madd(A0,B0,C0,B0);
+            traits.madd(A0,B_0,C0,B_0);
             traits.madd(A0,B1,C1,B1);
           }
           else
           {
             LhsPacket A0;
-            RhsPacket B0, B1, B2, B3;
+            RhsPacket B_0, B1, B2, B3;
 
             traits.loadLhs(&blA[0*LhsProgress], A0);
-            traits.loadRhs(&blB[0*RhsProgress], B0);
+            traits.loadRhs(&blB[0*RhsProgress], B_0);
             traits.loadRhs(&blB[1*RhsProgress], B1);
 
-            traits.madd(A0,B0,C0,B0);
+            traits.madd(A0,B_0,C0,B_0);
             traits.loadRhs(&blB[2*RhsProgress], B2);
             traits.loadRhs(&blB[3*RhsProgress], B3);
-            traits.loadRhs(&blB[4*RhsProgress], B0);
+            traits.loadRhs(&blB[4*RhsProgress], B_0);
             traits.madd(A0,B1,C1,B1);
             traits.loadRhs(&blB[5*RhsProgress], B1);
             traits.madd(A0,B2,C2,B2);
@@ -867,8 +871,8 @@ EIGEN_ASM_COMMENT("mybegin4");
             traits.madd(A0,B3,C3,B3);
             traits.loadLhs(&blA[1*LhsProgress], A0);
             traits.loadRhs(&blB[7*RhsProgress], B3);
-            traits.madd(A0,B0,C0,B0);
-            traits.loadRhs(&blB[8*RhsProgress], B0);
+            traits.madd(A0,B_0,C0,B_0);
+            traits.loadRhs(&blB[8*RhsProgress], B_0);
             traits.madd(A0,B1,C1,B1);
             traits.loadRhs(&blB[9*RhsProgress], B1);
             traits.madd(A0,B2,C2,B2);
@@ -877,8 +881,8 @@ EIGEN_ASM_COMMENT("mybegin4");
             traits.loadLhs(&blA[2*LhsProgress], A0);
             traits.loadRhs(&blB[11*RhsProgress], B3);
 
-            traits.madd(A0,B0,C0,B0);
-            traits.loadRhs(&blB[12*RhsProgress], B0);
+            traits.madd(A0,B_0,C0,B_0);
+            traits.loadRhs(&blB[12*RhsProgress], B_0);
             traits.madd(A0,B1,C1,B1);
             traits.loadRhs(&blB[13*RhsProgress], B1);
             traits.madd(A0,B2,C2,B2);
@@ -887,7 +891,7 @@ EIGEN_ASM_COMMENT("mybegin4");
 
             traits.loadLhs(&blA[3*LhsProgress], A0);
             traits.loadRhs(&blB[15*RhsProgress], B3);
-            traits.madd(A0,B0,C0,B0);
+            traits.madd(A0,B_0,C0,B_0);
             traits.madd(A0,B1,C1,B1);
             traits.madd(A0,B2,C2,B2);
             traits.madd(A0,B3,C3,B3);
@@ -902,26 +906,26 @@ EIGEN_ASM_COMMENT("mybegin4");
           if(nr==2)
           {
             LhsPacket A0;
-            RhsPacket B0, B1;
+            RhsPacket B_0, B1;
 
             traits.loadLhs(&blA[0*LhsProgress], A0);
-            traits.loadRhs(&blB[0*RhsProgress], B0);
+            traits.loadRhs(&blB[0*RhsProgress], B_0);
             traits.loadRhs(&blB[1*RhsProgress], B1);
-            traits.madd(A0,B0,C0,B0);
+            traits.madd(A0,B_0,C0,B_0);
             traits.madd(A0,B1,C1,B1);
           }
           else
           {
             LhsPacket A0;
-            RhsPacket B0, B1, B2, B3;
+            RhsPacket B_0, B1, B2, B3;
 
             traits.loadLhs(&blA[0*LhsProgress], A0);
-            traits.loadRhs(&blB[0*RhsProgress], B0);
+            traits.loadRhs(&blB[0*RhsProgress], B_0);
             traits.loadRhs(&blB[1*RhsProgress], B1);
             traits.loadRhs(&blB[2*RhsProgress], B2);
             traits.loadRhs(&blB[3*RhsProgress], B3);
 
-            traits.madd(A0,B0,C0,B0);
+            traits.madd(A0,B_0,C0,B_0);
             traits.madd(A0,B1,C1,B1);
             traits.madd(A0,B2,C2,B2);
             traits.madd(A0,B3,C3,B3);
@@ -968,26 +972,26 @@ EIGEN_ASM_COMMENT("mybegin4");
           if(nr==2)
           {
             LhsScalar A0;
-            RhsScalar B0, B1;
+            RhsScalar B_0, B1;
 
             A0 = blA[k];
-            B0 = blB[0];
+            B_0 = blB[0];
             B1 = blB[1];
-            MADD(cj,A0,B0,C0,B0);
+            MADD(cj,A0,B_0,C0,B_0);
             MADD(cj,A0,B1,C1,B1);
           }
           else
           {
             LhsScalar A0;
-            RhsScalar B0, B1, B2, B3;
+            RhsScalar B_0, B1, B2, B3;
 
             A0 = blA[k];
-            B0 = blB[0];
+            B_0 = blB[0];
             B1 = blB[1];
             B2 = blB[2];
             B3 = blB[3];
 
-            MADD(cj,A0,B0,C0,B0);
+            MADD(cj,A0,B_0,C0,B_0);
             MADD(cj,A0,B1,C1,B1);
             MADD(cj,A0,B2,C2,B2);
             MADD(cj,A0,B3,C3,B3);
@@ -1024,14 +1028,14 @@ EIGEN_ASM_COMMENT("mybegin4");
         for(Index k=0; k<depth; k++)
         {
           LhsPacket A0, A1;
-          RhsPacket B0;
+          RhsPacket B_0;
           RhsPacket T0;
 
           traits.loadLhs(&blA[0*LhsProgress], A0);
           traits.loadLhs(&blA[1*LhsProgress], A1);
-          traits.loadRhs(&blB[0*RhsProgress], B0);
-          traits.madd(A0,B0,C0,T0);
-          traits.madd(A1,B0,C4,B0);
+          traits.loadRhs(&blB[0*RhsProgress], B_0);
+          traits.madd(A0,B_0,C0,T0);
+          traits.madd(A1,B_0,C4,B_0);
 
           blB += RhsProgress;
           blA += 2*LhsProgress;
@@ -1063,10 +1067,10 @@ EIGEN_ASM_COMMENT("mybegin4");
         for(Index k=0; k<depth; k++)
         {
           LhsPacket A0;
-          RhsPacket B0;
+          RhsPacket B_0;
           traits.loadLhs(blA, A0);
-          traits.loadRhs(blB, B0);
-          traits.madd(A0, B0, C0, B0);
+          traits.loadRhs(blB, B_0);
+          traits.madd(A0, B_0, C0, B_0);
           blB += RhsProgress;
           blA += LhsProgress;
         }
@@ -1088,8 +1092,8 @@ EIGEN_ASM_COMMENT("mybegin4");
         for(Index k=0; k<depth; k++)
         {
           LhsScalar A0 = blA[k];
-          RhsScalar B0 = blB[k];
-          MADD(cj, A0, B0, C0, B0);
+          RhsScalar B_0 = blB[k];
+          MADD(cj, A0, B_0, C0, B_0);
         }
         res[(j2+0)*resStride + i] += alpha*C0;
       }
@@ -1100,7 +1104,7 @@ EIGEN_ASM_COMMENT("mybegin4");
 #undef CJMADD
 
 // pack a block of the lhs
-// The travesal is as follow (mr==4):
+// The traversal is as follow (mr==4):
 //   0  4  8 12 ...
 //   1  5  9 13 ...
 //   2  6 10 14 ...
@@ -1116,11 +1120,15 @@ EIGEN_ASM_COMMENT("mybegin4");
 template<typename Scalar, typename Index, int Pack1, int Pack2, int StorageOrder, bool Conjugate, bool PanelMode>
 struct gemm_pack_lhs
 {
-  void operator()(Scalar* blockA, const Scalar* EIGEN_RESTRICT _lhs, Index lhsStride, Index depth, Index rows,
+  EIGEN_DONT_INLINE void operator()(Scalar* blockA, const Scalar* EIGEN_RESTRICT _lhs, Index lhsStride, Index depth, Index rows,
                   Index stride=0, Index offset=0)
   {
-//     enum { PacketSize = packet_traits<Scalar>::size };
+    typedef typename packet_traits<Scalar>::type Packet;
+    enum { PacketSize = packet_traits<Scalar>::size };
+
+    EIGEN_ASM_COMMENT("EIGEN PRODUCT PACK LHS");
     eigen_assert(((!PanelMode) && stride==0 && offset==0) || (PanelMode && stride>=depth && offset<=stride));
+    eigen_assert( (StorageOrder==RowMajor) || ((Pack1%PacketSize)==0 && Pack1<=4*PacketSize) );
     conj_if<NumTraits<Scalar>::IsComplex && Conjugate> cj;
     const_blas_data_mapper<Scalar, Index, StorageOrder> lhs(_lhs,lhsStride);
     Index count = 0;
@@ -1128,9 +1136,44 @@ struct gemm_pack_lhs
     for(Index i=0; i<peeled_mc; i+=Pack1)
     {
       if(PanelMode) count += Pack1 * offset;
-      for(Index k=0; k<depth; k++)
-        for(Index w=0; w<Pack1; w++)
-          blockA[count++] = cj(lhs(i+w, k));
+
+      if(StorageOrder==ColMajor)
+      {
+        for(Index k=0; k<depth; k++)
+        {
+          Packet A, B, C, D;
+          if(Pack1>=1*PacketSize) A = ploadu<Packet>(&lhs(i+0*PacketSize, k));
+          if(Pack1>=2*PacketSize) B = ploadu<Packet>(&lhs(i+1*PacketSize, k));
+          if(Pack1>=3*PacketSize) C = ploadu<Packet>(&lhs(i+2*PacketSize, k));
+          if(Pack1>=4*PacketSize) D = ploadu<Packet>(&lhs(i+3*PacketSize, k));
+          if(Pack1>=1*PacketSize) { pstore(blockA+count, cj.pconj(A)); count+=PacketSize; }
+          if(Pack1>=2*PacketSize) { pstore(blockA+count, cj.pconj(B)); count+=PacketSize; }
+          if(Pack1>=3*PacketSize) { pstore(blockA+count, cj.pconj(C)); count+=PacketSize; }
+          if(Pack1>=4*PacketSize) { pstore(blockA+count, cj.pconj(D)); count+=PacketSize; }
+        }
+      }
+      else
+      {
+        for(Index k=0; k<depth; k++)
+        {
+          // TODO add a vectorized transpose here
+          Index w=0;
+          for(; w<Pack1-3; w+=4)
+          {
+            Scalar a(cj(lhs(i+w+0, k))),
+                   b(cj(lhs(i+w+1, k))),
+                   c(cj(lhs(i+w+2, k))),
+                   d(cj(lhs(i+w+3, k)));
+            blockA[count++] = a;
+            blockA[count++] = b;
+            blockA[count++] = c;
+            blockA[count++] = d;
+          }
+          if(Pack1%4)
+            for(;w<Pack1;++w)
+              blockA[count++] = cj(lhs(i+w, k));
+        }
+      }
       if(PanelMode) count += Pack1 * (stride-offset-depth);
     }
     if(rows-peeled_mc>=Pack2)
@@ -1164,9 +1207,10 @@ struct gemm_pack_rhs<Scalar, Index, nr, ColMajor, Conjugate, PanelMode>
 {
   typedef typename packet_traits<Scalar>::type Packet;
   enum { PacketSize = packet_traits<Scalar>::size };
-  void operator()(Scalar* blockB, const Scalar* rhs, Index rhsStride, Index depth, Index cols,
+  EIGEN_DONT_INLINE void operator()(Scalar* blockB, const Scalar* rhs, Index rhsStride, Index depth, Index cols,
                   Index stride=0, Index offset=0)
   {
+    EIGEN_ASM_COMMENT("EIGEN PRODUCT PACK RHS COLMAJOR");
     eigen_assert(((!PanelMode) && stride==0 && offset==0) || (PanelMode && stride>=depth && offset<=stride));
     conj_if<NumTraits<Scalar>::IsComplex && Conjugate> cj;
     Index packet_cols = (cols/nr) * nr;
@@ -1211,9 +1255,10 @@ template<typename Scalar, typename Index, int nr, bool Conjugate, bool PanelMode
 struct gemm_pack_rhs<Scalar, Index, nr, RowMajor, Conjugate, PanelMode>
 {
   enum { PacketSize = packet_traits<Scalar>::size };
-  void operator()(Scalar* blockB, const Scalar* rhs, Index rhsStride, Index depth, Index cols,
+  EIGEN_DONT_INLINE void operator()(Scalar* blockB, const Scalar* rhs, Index rhsStride, Index depth, Index cols,
                   Index stride=0, Index offset=0)
   {
+    EIGEN_ASM_COMMENT("EIGEN PRODUCT PACK RHS ROWMAJOR");
     eigen_assert(((!PanelMode) && stride==0 && offset==0) || (PanelMode && stride>=depth && offset<=stride));
     conj_if<NumTraits<Scalar>::IsComplex && Conjugate> cj;
     Index packet_cols = (cols/nr) * nr;
@@ -1279,4 +1324,6 @@ inline void setCpuCacheSizes(std::ptrdiff_t l1, std::ptrdiff_t l2)
   internal::manage_caching_sizes(SetAction, &l1, &l2);
 }
 
+} // end namespace Eigen
+
 #endif // EIGEN_GENERAL_BLOCK_PANEL_H
diff --git a/extern/Eigen3/Eigen/src/Core/products/GeneralMatrixMatrix.h b/extern/Eigen3/Eigen/src/Core/products/GeneralMatrixMatrix.h
index ae94a27953b..545beebc24a 100644
--- a/extern/Eigen3/Eigen/src/Core/products/GeneralMatrixMatrix.h
+++ b/extern/Eigen3/Eigen/src/Core/products/GeneralMatrixMatrix.h
@@ -25,6 +25,8 @@
 #ifndef EIGEN_GENERAL_MATRIX_MATRIX_H
 #define EIGEN_GENERAL_MATRIX_MATRIX_H
 
+namespace Eigen { 
+
 namespace internal {
 
 template<typename _LhsScalar, typename _RhsScalar> class level3_blocking;
@@ -412,8 +414,8 @@ class GeneralProduct<Lhs, Rhs, GemmProduct>
     {
       eigen_assert(dst.rows()==m_lhs.rows() && dst.cols()==m_rhs.cols());
 
-      const ActualLhsType lhs = LhsBlasTraits::extract(m_lhs);
-      const ActualRhsType rhs = RhsBlasTraits::extract(m_rhs);
+      typename internal::add_const_on_value_type<ActualLhsType>::type lhs = LhsBlasTraits::extract(m_lhs);
+      typename internal::add_const_on_value_type<ActualRhsType>::type rhs = RhsBlasTraits::extract(m_rhs);
 
       Scalar actualAlpha = alpha * LhsBlasTraits::extractScalarFactor(m_lhs)
                                  * RhsBlasTraits::extractScalarFactor(m_rhs);
@@ -436,4 +438,6 @@ class GeneralProduct<Lhs, Rhs, GemmProduct>
     }
 };
 
+} // end namespace Eigen
+
 #endif // EIGEN_GENERAL_MATRIX_MATRIX_H
diff --git a/extern/Eigen3/Eigen/src/Core/products/GeneralMatrixMatrixTriangular.h b/extern/Eigen3/Eigen/src/Core/products/GeneralMatrixMatrixTriangular.h
index 5043b64fe2e..74331ee4f4b 100644
--- a/extern/Eigen3/Eigen/src/Core/products/GeneralMatrixMatrixTriangular.h
+++ b/extern/Eigen3/Eigen/src/Core/products/GeneralMatrixMatrixTriangular.h
@@ -25,6 +25,8 @@
 #ifndef EIGEN_GENERAL_MATRIX_MATRIX_TRIANGULAR_H
 #define EIGEN_GENERAL_MATRIX_MATRIX_TRIANGULAR_H
 
+namespace Eigen { 
+
 namespace internal {
 
 /**********************************************************************
@@ -42,14 +44,14 @@ struct tribb_kernel;
 template <typename Index,
           typename LhsScalar, int LhsStorageOrder, bool ConjugateLhs,
           typename RhsScalar, int RhsStorageOrder, bool ConjugateRhs,
-                              int ResStorageOrder, int  UpLo>
+                              int ResStorageOrder, int  UpLo, int Version = Specialized>
 struct general_matrix_matrix_triangular_product;
 
 // as usual if the result is row major => we transpose the product
 template <typename Index, typename LhsScalar, int LhsStorageOrder, bool ConjugateLhs,
-                          typename RhsScalar, int RhsStorageOrder, bool ConjugateRhs, int  UpLo>
-struct general_matrix_matrix_triangular_product<Index,LhsScalar,LhsStorageOrder,ConjugateLhs,RhsScalar,RhsStorageOrder,ConjugateRhs,RowMajor,UpLo>
-{  
+                          typename RhsScalar, int RhsStorageOrder, bool ConjugateRhs, int  UpLo, int Version>
+struct general_matrix_matrix_triangular_product<Index,LhsScalar,LhsStorageOrder,ConjugateLhs,RhsScalar,RhsStorageOrder,ConjugateRhs,RowMajor,UpLo,Version>
+{
   typedef typename scalar_product_traits<LhsScalar, RhsScalar>::ReturnType ResScalar;
   static EIGEN_STRONG_INLINE void run(Index size, Index depth,const LhsScalar* lhs, Index lhsStride,
                                       const RhsScalar* rhs, Index rhsStride, ResScalar* res, Index resStride, ResScalar alpha)
@@ -63,8 +65,8 @@ struct general_matrix_matrix_triangular_product<Index,LhsScalar,LhsStorageOrder,
 };
 
 template <typename Index, typename LhsScalar, int LhsStorageOrder, bool ConjugateLhs,
-                          typename RhsScalar, int RhsStorageOrder, bool ConjugateRhs, int  UpLo>
-struct general_matrix_matrix_triangular_product<Index,LhsScalar,LhsStorageOrder,ConjugateLhs,RhsScalar,RhsStorageOrder,ConjugateRhs,ColMajor,UpLo>
+                          typename RhsScalar, int RhsStorageOrder, bool ConjugateRhs, int  UpLo, int Version>
+struct general_matrix_matrix_triangular_product<Index,LhsScalar,LhsStorageOrder,ConjugateLhs,RhsScalar,RhsStorageOrder,ConjugateRhs,ColMajor,UpLo,Version>
 {
   typedef typename scalar_product_traits<LhsScalar, RhsScalar>::ReturnType ResScalar;
   static EIGEN_STRONG_INLINE void run(Index size, Index depth,const LhsScalar* _lhs, Index lhsStride,
@@ -201,13 +203,13 @@ TriangularView<MatrixType,UpLo>& TriangularView<MatrixType,UpLo>::assignProduct(
   typedef internal::blas_traits<Lhs> LhsBlasTraits;
   typedef typename LhsBlasTraits::DirectLinearAccessType ActualLhs;
   typedef typename internal::remove_all<ActualLhs>::type _ActualLhs;
-  const ActualLhs actualLhs = LhsBlasTraits::extract(prod.lhs());
+  typename internal::add_const_on_value_type<ActualLhs>::type actualLhs = LhsBlasTraits::extract(prod.lhs());
   
   typedef typename internal::remove_all<typename ProductDerived::RhsNested>::type Rhs;
   typedef internal::blas_traits<Rhs> RhsBlasTraits;
   typedef typename RhsBlasTraits::DirectLinearAccessType ActualRhs;
   typedef typename internal::remove_all<ActualRhs>::type _ActualRhs;
-  const ActualRhs actualRhs = RhsBlasTraits::extract(prod.rhs());
+  typename internal::add_const_on_value_type<ActualRhs>::type actualRhs = RhsBlasTraits::extract(prod.rhs());
 
   typename ProductDerived::Scalar actualAlpha = alpha * LhsBlasTraits::extractScalarFactor(prod.lhs().derived()) * RhsBlasTraits::extractScalarFactor(prod.rhs().derived());
 
@@ -222,4 +224,6 @@ TriangularView<MatrixType,UpLo>& TriangularView<MatrixType,UpLo>::assignProduct(
   return *this;
 }
 
+} // end namespace Eigen
+
 #endif // EIGEN_GENERAL_MATRIX_MATRIX_TRIANGULAR_H
diff --git a/extern/Eigen3/Eigen/src/Core/products/GeneralMatrixVector.h b/extern/Eigen3/Eigen/src/Core/products/GeneralMatrixVector.h
index e0e2cbf8f62..d868a66a14c 100644
--- a/extern/Eigen3/Eigen/src/Core/products/GeneralMatrixVector.h
+++ b/extern/Eigen3/Eigen/src/Core/products/GeneralMatrixVector.h
@@ -25,6 +25,8 @@
 #ifndef EIGEN_GENERAL_MATRIX_VECTOR_H
 #define EIGEN_GENERAL_MATRIX_VECTOR_H
 
+namespace Eigen { 
+
 namespace internal {
 
 /* Optimized col-major matrix * vector product:
@@ -40,8 +42,8 @@ namespace internal {
  *  |cplx |real |cplx | invalid, the caller has to do tmp: = A * B; C += alpha*tmp
  *  |cplx |real |real | optimal case, vectorization possible via real-cplx mul
  */
-template<typename Index, typename LhsScalar, bool ConjugateLhs, typename RhsScalar, bool ConjugateRhs>
-struct general_matrix_vector_product<Index,LhsScalar,ColMajor,ConjugateLhs,RhsScalar,ConjugateRhs>
+template<typename Index, typename LhsScalar, bool ConjugateLhs, typename RhsScalar, bool ConjugateRhs, int Version>
+struct general_matrix_vector_product<Index,LhsScalar,ColMajor,ConjugateLhs,RhsScalar,ConjugateRhs,Version>
 {
 typedef typename scalar_product_traits<LhsScalar, RhsScalar>::ReturnType ResScalar;
 
@@ -99,7 +101,7 @@ EIGEN_DONT_INLINE static void run(
   
   // How many coeffs of the result do we have to skip to be aligned.
   // Here we assume data are at least aligned on the base scalar type.
-  Index alignedStart = first_aligned(res,size);
+  Index alignedStart = internal::first_aligned(res,size);
   Index alignedSize = ResPacketSize>1 ? alignedStart + ((size-alignedStart) & ~ResPacketAlignedMask) : 0;
   const Index peeledSize  = peels>1 ? alignedStart + ((alignedSize-alignedStart) & ~PeelAlignedMask) : alignedStart;
 
@@ -109,7 +111,7 @@ EIGEN_DONT_INLINE static void run(
                        : FirstAligned;
 
   // we cannot assume the first element is aligned because of sub-matrices
-  const Index lhsAlignmentOffset = first_aligned(lhs,size);
+  const Index lhsAlignmentOffset = internal::first_aligned(lhs,size);
 
   // find how many columns do we have to skip to be aligned with the result (if possible)
   Index skipColumns = 0;
@@ -296,8 +298,8 @@ EIGEN_DONT_INLINE static void run(
  *  - alpha is always a complex (or converted to a complex)
  *  - no vectorization
  */
-template<typename Index, typename LhsScalar, bool ConjugateLhs, typename RhsScalar, bool ConjugateRhs>
-struct general_matrix_vector_product<Index,LhsScalar,RowMajor,ConjugateLhs,RhsScalar,ConjugateRhs>
+template<typename Index, typename LhsScalar, bool ConjugateLhs, typename RhsScalar, bool ConjugateRhs, int Version>
+struct general_matrix_vector_product<Index,LhsScalar,RowMajor,ConjugateLhs,RhsScalar,ConjugateRhs,Version>
 {
 typedef typename scalar_product_traits<LhsScalar, RhsScalar>::ReturnType ResScalar;
 
@@ -351,7 +353,7 @@ EIGEN_DONT_INLINE static void run(
   // How many coeffs of the result do we have to skip to be aligned.
   // Here we assume data are at least aligned on the base scalar type
   // if that's not the case then vectorization is discarded, see below.
-  Index alignedStart = first_aligned(rhs, depth);
+  Index alignedStart = internal::first_aligned(rhs, depth);
   Index alignedSize = RhsPacketSize>1 ? alignedStart + ((depth-alignedStart) & ~RhsPacketAlignedMask) : 0;
   const Index peeledSize  = peels>1 ? alignedStart + ((alignedSize-alignedStart) & ~PeelAlignedMask) : alignedStart;
 
@@ -361,7 +363,7 @@ EIGEN_DONT_INLINE static void run(
                          : FirstAligned;
 
   // we cannot assume the first element is aligned because of sub-matrices
-  const Index lhsAlignmentOffset = first_aligned(lhs,depth);
+  const Index lhsAlignmentOffset = internal::first_aligned(lhs,depth);
 
   // find how many rows do we have to skip to be aligned with rhs (if possible)
   Index skipRows = 0;
@@ -556,4 +558,6 @@ EIGEN_DONT_INLINE static void run(
 
 } // end namespace internal
 
+} // end namespace Eigen
+
 #endif // EIGEN_GENERAL_MATRIX_VECTOR_H
diff --git a/extern/Eigen3/Eigen/src/Core/products/Parallelizer.h b/extern/Eigen3/Eigen/src/Core/products/Parallelizer.h
index ecdedc363ce..bb1d70dda0e 100644
--- a/extern/Eigen3/Eigen/src/Core/products/Parallelizer.h
+++ b/extern/Eigen3/Eigen/src/Core/products/Parallelizer.h
@@ -25,6 +25,8 @@
 #ifndef EIGEN_PARALLELIZER_H
 #define EIGEN_PARALLELIZER_H
 
+namespace Eigen { 
+
 namespace internal {
 
 /** \internal */
@@ -85,7 +87,9 @@ template<typename Index> struct GemmParallelInfo
 template<bool Condition, typename Functor, typename Index>
 void parallelize_gemm(const Functor& func, Index rows, Index cols, bool transpose)
 {
-#ifndef EIGEN_HAS_OPENMP
+  // TODO when EIGEN_USE_BLAS is defined,
+  // we should still enable OMP for other scalar types
+#if !(defined (EIGEN_HAS_OPENMP)) || defined (EIGEN_USE_BLAS)
   // FIXME the transpose variable is only needed to properly split
   // the matrix product when multithreading is enabled. This is a temporary
   // fix to support row-major destination matrices. This whole
@@ -151,4 +155,6 @@ void parallelize_gemm(const Functor& func, Index rows, Index cols, bool transpos
 
 } // end namespace internal
 
+} // end namespace Eigen
+
 #endif // EIGEN_PARALLELIZER_H
diff --git a/extern/Eigen3/Eigen/src/Core/products/SelfadjointMatrixMatrix.h b/extern/Eigen3/Eigen/src/Core/products/SelfadjointMatrixMatrix.h
index ccd757cfaf8..91ba120815f 100644
--- a/extern/Eigen3/Eigen/src/Core/products/SelfadjointMatrixMatrix.h
+++ b/extern/Eigen3/Eigen/src/Core/products/SelfadjointMatrixMatrix.h
@@ -25,6 +25,8 @@
 #ifndef EIGEN_SELFADJOINT_MATRIX_MATRIX_H
 #define EIGEN_SELFADJOINT_MATRIX_MATRIX_H
 
+namespace Eigen { 
+
 namespace internal {
 
 // pack a selfadjoint block diagonal for use with the gebp_kernel
@@ -400,8 +402,8 @@ struct SelfadjointProductMatrix<Lhs,LhsMode,false,Rhs,RhsMode,false>
   {
     eigen_assert(dst.rows()==m_lhs.rows() && dst.cols()==m_rhs.cols());
 
-    const ActualLhsType lhs = LhsBlasTraits::extract(m_lhs);
-    const ActualRhsType rhs = RhsBlasTraits::extract(m_rhs);
+    typename internal::add_const_on_value_type<ActualLhsType>::type lhs = LhsBlasTraits::extract(m_lhs);
+    typename internal::add_const_on_value_type<ActualRhsType>::type rhs = RhsBlasTraits::extract(m_rhs);
 
     Scalar actualAlpha = alpha * LhsBlasTraits::extractScalarFactor(m_lhs)
                                * RhsBlasTraits::extractScalarFactor(m_rhs);
@@ -424,4 +426,6 @@ struct SelfadjointProductMatrix<Lhs,LhsMode,false,Rhs,RhsMode,false>
   }
 };
 
+} // end namespace Eigen
+
 #endif // EIGEN_SELFADJOINT_MATRIX_MATRIX_H
diff --git a/extern/Eigen3/Eigen/src/Core/products/SelfadjointMatrixVector.h b/extern/Eigen3/Eigen/src/Core/products/SelfadjointMatrixVector.h
index d6121fc07bd..7f39ef01ae2 100644
--- a/extern/Eigen3/Eigen/src/Core/products/SelfadjointMatrixVector.h
+++ b/extern/Eigen3/Eigen/src/Core/products/SelfadjointMatrixVector.h
@@ -25,6 +25,8 @@
 #ifndef EIGEN_SELFADJOINT_MATRIX_VECTOR_H
 #define EIGEN_SELFADJOINT_MATRIX_VECTOR_H
 
+namespace Eigen { 
+
 namespace internal {
 
 /* Optimized selfadjoint matrix * vector product:
@@ -32,8 +34,15 @@ namespace internal {
  * the number of load/stores of the result by a factor 2 and to reduce
  * the instruction dependency.
  */
-template<typename Scalar, typename Index, int StorageOrder, int UpLo, bool ConjugateLhs, bool ConjugateRhs>
-static EIGEN_DONT_INLINE void product_selfadjoint_vector(
+
+template<typename Scalar, typename Index, int StorageOrder, int UpLo, bool ConjugateLhs, bool ConjugateRhs, int Version=Specialized>
+struct selfadjoint_matrix_vector_product;
+
+template<typename Scalar, typename Index, int StorageOrder, int UpLo, bool ConjugateLhs, bool ConjugateRhs, int Version>
+struct selfadjoint_matrix_vector_product
+
+{
+static EIGEN_DONT_INLINE void run(
   Index size,
   const Scalar*  lhs, Index lhsStride,
   const Scalar* _rhs, Index rhsIncr,
@@ -85,14 +94,14 @@ static EIGEN_DONT_INLINE void product_selfadjoint_vector(
     Scalar t1 = cjAlpha * rhs[j+1];
     Packet ptmp1 = pset1<Packet>(t1);
 
-    Scalar t2 = 0;
+    Scalar t2(0);
     Packet ptmp2 = pset1<Packet>(t2);
-    Scalar t3 = 0;
+    Scalar t3(0);
     Packet ptmp3 = pset1<Packet>(t3);
 
     size_t starti = FirstTriangular ? 0 : j+2;
     size_t endi   = FirstTriangular ? j : size;
-    size_t alignedStart = (starti) + first_aligned(&res[starti], endi-starti);
+    size_t alignedStart = (starti) + internal::first_aligned(&res[starti], endi-starti);
     size_t alignedEnd = alignedStart + ((endi-alignedStart)/(PacketSize))*(PacketSize);
 
     // TODO make sure this product is a real * complex and that the rhs is properly conjugated if needed
@@ -148,7 +157,7 @@ static EIGEN_DONT_INLINE void product_selfadjoint_vector(
     register const Scalar* EIGEN_RESTRICT A0 = lhs + j*lhsStride;
 
     Scalar t1 = cjAlpha * rhs[j];
-    Scalar t2 = 0;
+    Scalar t2(0);
     // TODO make sure this product is a real * complex and that the rhs is properly conjugated if needed
     res[j] += cjd.pmul(internal::real(A0[j]), t1);
     for (Index i=FirstTriangular ? 0 : j+1; i<(FirstTriangular ? j : size); i++)
@@ -159,6 +168,7 @@ static EIGEN_DONT_INLINE void product_selfadjoint_vector(
     res[j] += alpha * t2;
   }
 }
+};
 
 } // end namespace internal 
 
@@ -193,8 +203,8 @@ struct SelfadjointProductMatrix<Lhs,LhsMode,false,Rhs,0,true>
     
     eigen_assert(dest.rows()==m_lhs.rows() && dest.cols()==m_rhs.cols());
 
-    const ActualLhsType lhs = LhsBlasTraits::extract(m_lhs);
-    const ActualRhsType rhs = RhsBlasTraits::extract(m_rhs);
+    typename internal::add_const_on_value_type<ActualLhsType>::type lhs = LhsBlasTraits::extract(m_lhs);
+    typename internal::add_const_on_value_type<ActualRhsType>::type rhs = RhsBlasTraits::extract(m_rhs);
 
     Scalar actualAlpha = alpha * LhsBlasTraits::extractScalarFactor(m_lhs)
                                * RhsBlasTraits::extractScalarFactor(m_rhs);
@@ -232,7 +242,7 @@ struct SelfadjointProductMatrix<Lhs,LhsMode,false,Rhs,0,true>
     }
       
       
-    internal::product_selfadjoint_vector<Scalar, Index, (internal::traits<_ActualLhsType>::Flags&RowMajorBit) ? RowMajor : ColMajor, int(LhsUpLo), bool(LhsBlasTraits::NeedToConjugate), bool(RhsBlasTraits::NeedToConjugate)>
+    internal::selfadjoint_matrix_vector_product<Scalar, Index, (internal::traits<_ActualLhsType>::Flags&RowMajorBit) ? RowMajor : ColMajor, int(LhsUpLo), bool(LhsBlasTraits::NeedToConjugate), bool(RhsBlasTraits::NeedToConjugate)>::run
       (
         lhs.rows(),                             // size
         &lhs.coeffRef(0,0),  lhs.outerStride(), // lhs info
@@ -274,5 +284,6 @@ struct SelfadjointProductMatrix<Lhs,0,true,Rhs,RhsMode,false>
   }
 };
 
+} // end namespace Eigen
 
 #endif // EIGEN_SELFADJOINT_MATRIX_VECTOR_H
diff --git a/extern/Eigen3/Eigen/src/Core/products/SelfadjointProduct.h b/extern/Eigen3/Eigen/src/Core/products/SelfadjointProduct.h
index 3a4523fa4a9..a3ff9e3e7ab 100644
--- a/extern/Eigen3/Eigen/src/Core/products/SelfadjointProduct.h
+++ b/extern/Eigen3/Eigen/src/Core/products/SelfadjointProduct.h
@@ -31,6 +31,8 @@
 * It corresponds to the level 3 SYRK and level 2 SYR Blas routines.
 **********************************************************************/
 
+namespace Eigen { 
+
 template<typename Scalar, typename Index, int StorageOrder, int UpLo, bool ConjLhs, bool ConjRhs>
 struct selfadjoint_rank1_update;
 
@@ -72,7 +74,7 @@ struct selfadjoint_product_selector<MatrixType,OtherType,UpLo,true>
     typedef internal::blas_traits<OtherType> OtherBlasTraits;
     typedef typename OtherBlasTraits::DirectLinearAccessType ActualOtherType;
     typedef typename internal::remove_all<ActualOtherType>::type _ActualOtherType;
-    const ActualOtherType actualOther = OtherBlasTraits::extract(other.derived());
+    typename internal::add_const_on_value_type<ActualOtherType>::type actualOther = OtherBlasTraits::extract(other.derived());
 
     Scalar actualAlpha = alpha * OtherBlasTraits::extractScalarFactor(other.derived());
 
@@ -105,12 +107,12 @@ struct selfadjoint_product_selector<MatrixType,OtherType,UpLo,false>
     typedef internal::blas_traits<OtherType> OtherBlasTraits;
     typedef typename OtherBlasTraits::DirectLinearAccessType ActualOtherType;
     typedef typename internal::remove_all<ActualOtherType>::type _ActualOtherType;
-    const ActualOtherType actualOther = OtherBlasTraits::extract(other.derived());
+    typename internal::add_const_on_value_type<ActualOtherType>::type actualOther = OtherBlasTraits::extract(other.derived());
 
     Scalar actualAlpha = alpha * OtherBlasTraits::extractScalarFactor(other.derived());
 
     enum { IsRowMajor = (internal::traits<MatrixType>::Flags&RowMajorBit) ? 1 : 0 };
-    
+
     internal::general_matrix_matrix_triangular_product<Index,
       Scalar, _ActualOtherType::Flags&RowMajorBit ? RowMajor : ColMajor,   OtherBlasTraits::NeedToConjugate  && NumTraits<Scalar>::IsComplex,
       Scalar, _ActualOtherType::Flags&RowMajorBit ? ColMajor : RowMajor, (!OtherBlasTraits::NeedToConjugate) && NumTraits<Scalar>::IsComplex,
@@ -133,4 +135,6 @@ SelfAdjointView<MatrixType,UpLo>& SelfAdjointView<MatrixType,UpLo>
   return *this;
 }
 
+} // end namespace Eigen
+
 #endif // EIGEN_SELFADJOINT_PRODUCT_H
diff --git a/extern/Eigen3/Eigen/src/Core/products/SelfadjointRank2Update.h b/extern/Eigen3/Eigen/src/Core/products/SelfadjointRank2Update.h
index 9f8b8438a5d..001cfb591ab 100644
--- a/extern/Eigen3/Eigen/src/Core/products/SelfadjointRank2Update.h
+++ b/extern/Eigen3/Eigen/src/Core/products/SelfadjointRank2Update.h
@@ -25,6 +25,8 @@
 #ifndef EIGEN_SELFADJOINTRANK2UPTADE_H
 #define EIGEN_SELFADJOINTRANK2UPTADE_H
 
+namespace Eigen { 
+
 namespace internal {
 
 /* Optimized selfadjoint matrix += alpha * uv' + conj(alpha)*vu'
@@ -76,12 +78,12 @@ SelfAdjointView<MatrixType,UpLo>& SelfAdjointView<MatrixType,UpLo>
   typedef internal::blas_traits<DerivedU> UBlasTraits;
   typedef typename UBlasTraits::DirectLinearAccessType ActualUType;
   typedef typename internal::remove_all<ActualUType>::type _ActualUType;
-  const ActualUType actualU = UBlasTraits::extract(u.derived());
+  typename internal::add_const_on_value_type<ActualUType>::type actualU = UBlasTraits::extract(u.derived());
 
   typedef internal::blas_traits<DerivedV> VBlasTraits;
   typedef typename VBlasTraits::DirectLinearAccessType ActualVType;
   typedef typename internal::remove_all<ActualVType>::type _ActualVType;
-  const ActualVType actualV = VBlasTraits::extract(v.derived());
+  typename internal::add_const_on_value_type<ActualVType>::type actualV = VBlasTraits::extract(v.derived());
 
   // If MatrixType is row major, then we use the routine for lower triangular in the upper triangular case and
   // vice versa, and take the complex conjugate of all coefficients and vector entries.
@@ -101,4 +103,6 @@ SelfAdjointView<MatrixType,UpLo>& SelfAdjointView<MatrixType,UpLo>
   return *this;
 }
 
+} // end namespace Eigen
+
 #endif // EIGEN_SELFADJOINTRANK2UPTADE_H
diff --git a/extern/Eigen3/Eigen/src/Core/products/TriangularMatrixMatrix.h b/extern/Eigen3/Eigen/src/Core/products/TriangularMatrixMatrix.h
index 0c48d2efb75..06053bfd9ee 100644
--- a/extern/Eigen3/Eigen/src/Core/products/TriangularMatrixMatrix.h
+++ b/extern/Eigen3/Eigen/src/Core/products/TriangularMatrixMatrix.h
@@ -25,6 +25,8 @@
 #ifndef EIGEN_TRIANGULAR_MATRIX_MATRIX_H
 #define EIGEN_TRIANGULAR_MATRIX_MATRIX_H
 
+namespace Eigen { 
+
 namespace internal {
 
 // template<typename Scalar, int mr, int StorageOrder, bool Conjugate, int Mode>
@@ -58,16 +60,16 @@ template <typename Scalar, typename Index,
           int Mode, bool LhsIsTriangular,
           int LhsStorageOrder, bool ConjugateLhs,
           int RhsStorageOrder, bool ConjugateRhs,
-          int ResStorageOrder>
+          int ResStorageOrder, int Version = Specialized>
 struct product_triangular_matrix_matrix;
 
 template <typename Scalar, typename Index,
           int Mode, bool LhsIsTriangular,
           int LhsStorageOrder, bool ConjugateLhs,
-          int RhsStorageOrder, bool ConjugateRhs>
+          int RhsStorageOrder, bool ConjugateRhs, int Version>
 struct product_triangular_matrix_matrix<Scalar,Index,Mode,LhsIsTriangular,
                                            LhsStorageOrder,ConjugateLhs,
-                                           RhsStorageOrder,ConjugateRhs,RowMajor>
+                                           RhsStorageOrder,ConjugateRhs,RowMajor,Version>
 {
   static EIGEN_STRONG_INLINE void run(
     Index rows, Index cols, Index depth,
@@ -91,15 +93,15 @@ struct product_triangular_matrix_matrix<Scalar,Index,Mode,LhsIsTriangular,
 // implements col-major += alpha * op(triangular) * op(general)
 template <typename Scalar, typename Index, int Mode,
           int LhsStorageOrder, bool ConjugateLhs,
-          int RhsStorageOrder, bool ConjugateRhs>
+          int RhsStorageOrder, bool ConjugateRhs, int Version>
 struct product_triangular_matrix_matrix<Scalar,Index,Mode,true,
                                            LhsStorageOrder,ConjugateLhs,
-                                           RhsStorageOrder,ConjugateRhs,ColMajor>
+                                           RhsStorageOrder,ConjugateRhs,ColMajor,Version>
 {
   
   typedef gebp_traits<Scalar,Scalar> Traits;
   enum {
-    SmallPanelWidth   = EIGEN_PLAIN_ENUM_MAX(Traits::mr,Traits::nr),
+    SmallPanelWidth   = 2 * EIGEN_PLAIN_ENUM_MAX(Traits::mr,Traits::nr),
     IsLower = (Mode&Lower) == Lower,
     SetDiag = (Mode&(ZeroDiag|UnitDiag)) ? 0 : 1
   };
@@ -220,10 +222,10 @@ struct product_triangular_matrix_matrix<Scalar,Index,Mode,true,
 // implements col-major += alpha * op(general) * op(triangular)
 template <typename Scalar, typename Index, int Mode,
           int LhsStorageOrder, bool ConjugateLhs,
-          int RhsStorageOrder, bool ConjugateRhs>
+          int RhsStorageOrder, bool ConjugateRhs, int Version>
 struct product_triangular_matrix_matrix<Scalar,Index,Mode,false,
                                            LhsStorageOrder,ConjugateLhs,
-                                           RhsStorageOrder,ConjugateRhs,ColMajor>
+                                           RhsStorageOrder,ConjugateRhs,ColMajor,Version>
 {
   typedef gebp_traits<Scalar,Scalar> Traits;
   enum {
@@ -378,8 +380,8 @@ struct TriangularProduct<Mode,LhsIsTriangular,Lhs,false,Rhs,false>
 
   template<typename Dest> void scaleAndAddTo(Dest& dst, Scalar alpha) const
   {
-    const ActualLhsType lhs = LhsBlasTraits::extract(m_lhs);
-    const ActualRhsType rhs = RhsBlasTraits::extract(m_rhs);
+    typename internal::add_const_on_value_type<ActualLhsType>::type lhs = LhsBlasTraits::extract(m_lhs);
+    typename internal::add_const_on_value_type<ActualRhsType>::type rhs = RhsBlasTraits::extract(m_rhs);
 
     Scalar actualAlpha = alpha * LhsBlasTraits::extractScalarFactor(m_lhs)
                                * RhsBlasTraits::extractScalarFactor(m_rhs);
@@ -399,5 +401,6 @@ struct TriangularProduct<Mode,LhsIsTriangular,Lhs,false,Rhs,false>
   }
 };
 
+} // end namespace Eigen
 
 #endif // EIGEN_TRIANGULAR_MATRIX_MATRIX_H
diff --git a/extern/Eigen3/Eigen/src/Core/products/TriangularMatrixVector.h b/extern/Eigen3/Eigen/src/Core/products/TriangularMatrixVector.h
index 71b4a52ab80..e1dc0c23ef9 100644
--- a/extern/Eigen3/Eigen/src/Core/products/TriangularMatrixVector.h
+++ b/extern/Eigen3/Eigen/src/Core/products/TriangularMatrixVector.h
@@ -25,23 +25,29 @@
 #ifndef EIGEN_TRIANGULARMATRIXVECTOR_H
 #define EIGEN_TRIANGULARMATRIXVECTOR_H
 
+namespace Eigen { 
+
 namespace internal {
 
-template<typename Index, int Mode, typename LhsScalar, bool ConjLhs, typename RhsScalar, bool ConjRhs, int StorageOrder>
-struct product_triangular_matrix_vector;
+template<typename Index, int Mode, typename LhsScalar, bool ConjLhs, typename RhsScalar, bool ConjRhs, int StorageOrder, int Version=Specialized>
+struct triangular_matrix_vector_product;
 
-template<typename Index, int Mode, typename LhsScalar, bool ConjLhs, typename RhsScalar, bool ConjRhs>
-struct product_triangular_matrix_vector<Index,Mode,LhsScalar,ConjLhs,RhsScalar,ConjRhs,ColMajor>
+template<typename Index, int Mode, typename LhsScalar, bool ConjLhs, typename RhsScalar, bool ConjRhs, int Version>
+struct triangular_matrix_vector_product<Index,Mode,LhsScalar,ConjLhs,RhsScalar,ConjRhs,ColMajor,Version>
 {
   typedef typename scalar_product_traits<LhsScalar, RhsScalar>::ReturnType ResScalar;
   enum {
     IsLower = ((Mode&Lower)==Lower),
-    HasUnitDiag = (Mode & UnitDiag)==UnitDiag
+    HasUnitDiag = (Mode & UnitDiag)==UnitDiag,
+    HasZeroDiag = (Mode & ZeroDiag)==ZeroDiag
   };
-  static EIGEN_DONT_INLINE  void run(Index rows, Index cols, const LhsScalar* _lhs, Index lhsStride,
+  static EIGEN_DONT_INLINE  void run(Index _rows, Index _cols, const LhsScalar* _lhs, Index lhsStride,
                                      const RhsScalar* _rhs, Index rhsIncr, ResScalar* _res, Index resIncr, ResScalar alpha)
   {
     static const Index PanelWidth = EIGEN_TUNE_TRIANGULAR_PANEL_WIDTH;
+    Index size = (std::min)(_rows,_cols);
+    Index rows = IsLower ? _rows : (std::min)(_rows,_cols);
+    Index cols = IsLower ? (std::min)(_rows,_cols) : _cols;
 
     typedef Map<const Matrix<LhsScalar,Dynamic,Dynamic,ColMajor>, 0, OuterStride<> > LhsMap;
     const LhsMap lhs(_lhs,rows,cols,OuterStride<>(lhsStride));
@@ -54,45 +60,57 @@ struct product_triangular_matrix_vector<Index,Mode,LhsScalar,ConjLhs,RhsScalar,C
     typedef Map<Matrix<ResScalar,Dynamic,1> > ResMap;
     ResMap res(_res,rows);
 
-    for (Index pi=0; pi<cols; pi+=PanelWidth)
+    for (Index pi=0; pi<size; pi+=PanelWidth)
     {
-      Index actualPanelWidth = (std::min)(PanelWidth, cols-pi);
+      Index actualPanelWidth = (std::min)(PanelWidth, size-pi);
       for (Index k=0; k<actualPanelWidth; ++k)
       {
         Index i = pi + k;
-        Index s = IsLower ? (HasUnitDiag ? i+1 : i ) : pi;
+        Index s = IsLower ? ((HasUnitDiag||HasZeroDiag) ? i+1 : i ) : pi;
         Index r = IsLower ? actualPanelWidth-k : k+1;
-        if ((!HasUnitDiag) || (--r)>0)
+        if ((!(HasUnitDiag||HasZeroDiag)) || (--r)>0)
           res.segment(s,r) += (alpha * cjRhs.coeff(i)) * cjLhs.col(i).segment(s,r);
         if (HasUnitDiag)
           res.coeffRef(i) += alpha * cjRhs.coeff(i);
       }
-      Index r = IsLower ? cols - pi - actualPanelWidth : pi;
+      Index r = IsLower ? rows - pi - actualPanelWidth : pi;
       if (r>0)
       {
         Index s = IsLower ? pi+actualPanelWidth : 0;
-        general_matrix_vector_product<Index,LhsScalar,ColMajor,ConjLhs,RhsScalar,ConjRhs>::run(
+        general_matrix_vector_product<Index,LhsScalar,ColMajor,ConjLhs,RhsScalar,ConjRhs,BuiltIn>::run(
             r, actualPanelWidth,
             &lhs.coeffRef(s,pi), lhsStride,
             &rhs.coeffRef(pi), rhsIncr,
             &res.coeffRef(s), resIncr, alpha);
       }
     }
+    if((!IsLower) && cols>size)
+    {
+      general_matrix_vector_product<Index,LhsScalar,ColMajor,ConjLhs,RhsScalar,ConjRhs>::run(
+          rows, cols-size,
+          &lhs.coeffRef(0,size), lhsStride,
+          &rhs.coeffRef(size), rhsIncr,
+          _res, resIncr, alpha);
+    }
   }
 };
 
-template<typename Index, int Mode, typename LhsScalar, bool ConjLhs, typename RhsScalar, bool ConjRhs>
-struct product_triangular_matrix_vector<Index,Mode,LhsScalar,ConjLhs,RhsScalar,ConjRhs,RowMajor>
+template<typename Index, int Mode, typename LhsScalar, bool ConjLhs, typename RhsScalar, bool ConjRhs,int Version>
+struct triangular_matrix_vector_product<Index,Mode,LhsScalar,ConjLhs,RhsScalar,ConjRhs,RowMajor,Version>
 {
   typedef typename scalar_product_traits<LhsScalar, RhsScalar>::ReturnType ResScalar;
   enum {
     IsLower = ((Mode&Lower)==Lower),
-    HasUnitDiag = (Mode & UnitDiag)==UnitDiag
+    HasUnitDiag = (Mode & UnitDiag)==UnitDiag,
+    HasZeroDiag = (Mode & ZeroDiag)==ZeroDiag
   };
-  static void run(Index rows, Index cols, const LhsScalar* _lhs, Index lhsStride,
+  static void run(Index _rows, Index _cols, const LhsScalar* _lhs, Index lhsStride,
                   const RhsScalar* _rhs, Index rhsIncr, ResScalar* _res, Index resIncr, ResScalar alpha)
   {
     static const Index PanelWidth = EIGEN_TUNE_TRIANGULAR_PANEL_WIDTH;
+    Index diagSize = (std::min)(_rows,_cols);
+    Index rows = IsLower ? _rows : diagSize;
+    Index cols = IsLower ? diagSize : _cols;
 
     typedef Map<const Matrix<LhsScalar,Dynamic,Dynamic,RowMajor>, 0, OuterStride<> > LhsMap;
     const LhsMap lhs(_lhs,rows,cols,OuterStride<>(lhsStride));
@@ -105,15 +123,15 @@ struct product_triangular_matrix_vector<Index,Mode,LhsScalar,ConjLhs,RhsScalar,C
     typedef Map<Matrix<ResScalar,Dynamic,1>, 0, InnerStride<> > ResMap;
     ResMap res(_res,rows,InnerStride<>(resIncr));
     
-    for (Index pi=0; pi<cols; pi+=PanelWidth)
+    for (Index pi=0; pi<diagSize; pi+=PanelWidth)
     {
-      Index actualPanelWidth = (std::min)(PanelWidth, cols-pi);
+      Index actualPanelWidth = (std::min)(PanelWidth, diagSize-pi);
       for (Index k=0; k<actualPanelWidth; ++k)
       {
         Index i = pi + k;
-        Index s = IsLower ? pi  : (HasUnitDiag ? i+1 : i);
+        Index s = IsLower ? pi  : ((HasUnitDiag||HasZeroDiag) ? i+1 : i);
         Index r = IsLower ? k+1 : actualPanelWidth-k;
-        if ((!HasUnitDiag) || (--r)>0)
+        if ((!(HasUnitDiag||HasZeroDiag)) || (--r)>0)
           res.coeffRef(i) += alpha * (cjLhs.row(i).segment(s,r).cwiseProduct(cjRhs.segment(s,r).transpose())).sum();
         if (HasUnitDiag)
           res.coeffRef(i) += alpha * cjRhs.coeff(i);
@@ -122,13 +140,21 @@ struct product_triangular_matrix_vector<Index,Mode,LhsScalar,ConjLhs,RhsScalar,C
       if (r>0)
       {
         Index s = IsLower ? 0 : pi + actualPanelWidth;
-        general_matrix_vector_product<Index,LhsScalar,RowMajor,ConjLhs,RhsScalar,ConjRhs>::run(
+        general_matrix_vector_product<Index,LhsScalar,RowMajor,ConjLhs,RhsScalar,ConjRhs,BuiltIn>::run(
             actualPanelWidth, r,
             &lhs.coeffRef(pi,s), lhsStride,
             &rhs.coeffRef(s), rhsIncr,
             &res.coeffRef(pi), resIncr, alpha);
       }
     }
+    if(IsLower && rows>diagSize)
+    {
+      general_matrix_vector_product<Index,LhsScalar,RowMajor,ConjLhs,RhsScalar,ConjRhs>::run(
+            rows-diagSize, cols,
+            &lhs.coeffRef(diagSize,0), lhsStride,
+            &rhs.coeffRef(0), rhsIncr,
+            &res.coeffRef(diagSize), resIncr, alpha);
+    }
   }
 };
 
@@ -180,7 +206,7 @@ struct TriangularProduct<Mode,false,Lhs,true,Rhs,false>
   {
     eigen_assert(dst.rows()==m_lhs.rows() && dst.cols()==m_rhs.cols());
 
-    typedef TriangularProduct<(Mode & UnitDiag) | ((Mode & Lower) ? Upper : Lower),true,Transpose<const Rhs>,false,Transpose<const Lhs>,true> TriangularProductTranspose;
+    typedef TriangularProduct<(Mode & (UnitDiag|ZeroDiag)) | ((Mode & Lower) ? Upper : Lower),true,Transpose<const Rhs>,false,Transpose<const Lhs>,true> TriangularProductTranspose;
     Transpose<Dest> dstT(dst);
     internal::trmv_selector<(int(internal::traits<Rhs>::Flags)&RowMajorBit) ? ColMajor : RowMajor>::run(
       TriangularProductTranspose(m_rhs.transpose(),m_lhs.transpose()), dstT, alpha);
@@ -208,8 +234,8 @@ template<> struct trmv_selector<ColMajor>
     typedef typename ProductType::RhsBlasTraits RhsBlasTraits;
     typedef Map<Matrix<ResScalar,Dynamic,1>, Aligned> MappedDest;
 
-    const ActualLhsType actualLhs = LhsBlasTraits::extract(prod.lhs());
-    const ActualRhsType actualRhs = RhsBlasTraits::extract(prod.rhs());
+    typename internal::add_const_on_value_type<ActualLhsType>::type actualLhs = LhsBlasTraits::extract(prod.lhs());
+    typename internal::add_const_on_value_type<ActualRhsType>::type actualRhs = RhsBlasTraits::extract(prod.rhs());
 
     ResScalar actualAlpha = alpha * LhsBlasTraits::extractScalarFactor(prod.lhs())
                                   * RhsBlasTraits::extractScalarFactor(prod.rhs());
@@ -247,7 +273,7 @@ template<> struct trmv_selector<ColMajor>
         MappedDest(actualDestPtr, dest.size()) = dest;
     }
     
-    internal::product_triangular_matrix_vector
+    internal::triangular_matrix_vector_product
       <Index,Mode,
        LhsScalar, LhsBlasTraits::NeedToConjugate,
        RhsScalar, RhsBlasTraits::NeedToConjugate,
@@ -307,7 +333,7 @@ template<> struct trmv_selector<RowMajor>
       Map<typename _ActualRhsType::PlainObject>(actualRhsPtr, actualRhs.size()) = actualRhs;
     }
     
-    internal::product_triangular_matrix_vector
+    internal::triangular_matrix_vector_product
       <Index,Mode,
        LhsScalar, LhsBlasTraits::NeedToConjugate,
        RhsScalar, RhsBlasTraits::NeedToConjugate,
@@ -322,4 +348,6 @@ template<> struct trmv_selector<RowMajor>
 
 } // end namespace internal
 
+} // end namespace Eigen
+
 #endif // EIGEN_TRIANGULARMATRIXVECTOR_H
diff --git a/extern/Eigen3/Eigen/src/Core/products/TriangularSolverMatrix.h b/extern/Eigen3/Eigen/src/Core/products/TriangularSolverMatrix.h
index 4dced6b0eb9..4bba12cfe9d 100644
--- a/extern/Eigen3/Eigen/src/Core/products/TriangularSolverMatrix.h
+++ b/extern/Eigen3/Eigen/src/Core/products/TriangularSolverMatrix.h
@@ -25,6 +25,8 @@
 #ifndef EIGEN_TRIANGULAR_SOLVER_MATRIX_H
 #define EIGEN_TRIANGULAR_SOLVER_MATRIX_H
 
+namespace Eigen { 
+
 namespace internal {
 
 // if the rhs is row major, let's transpose the product
@@ -75,12 +77,20 @@ struct triangular_solve_matrix<Scalar,Index,OnTheLeft,Mode,Conjugate,TriStorageO
     ei_declare_aligned_stack_constructed_variable(Scalar, blockA, kc*mc, 0);
     ei_declare_aligned_stack_constructed_variable(Scalar, allocatedBlockB, sizeB, 0);
     Scalar* blockB = allocatedBlockB + sizeW;
+    Scalar* blockW = allocatedBlockB;
 
     conj_if<Conjugate> conj;
     gebp_kernel<Scalar, Scalar, Index, Traits::mr, Traits::nr, Conjugate, false> gebp_kernel;
     gemm_pack_lhs<Scalar, Index, Traits::mr, Traits::LhsProgress, TriStorageOrder> pack_lhs;
     gemm_pack_rhs<Scalar, Index, Traits::nr, ColMajor, false, true> pack_rhs;
 
+    // the goal here is to subdivise the Rhs panels such that we keep some cache
+    // coherence when accessing the rhs elements
+    std::ptrdiff_t l1, l2;
+    manage_caching_sizes(GetAction, &l1, &l2);
+    Index subcols = cols>0 ? l2/(4 * sizeof(Scalar) * otherStride) : 0;
+    subcols = std::max<Index>((subcols/Traits::nr)*Traits::nr, Traits::nr);
+
     for(Index k2=IsLower ? 0 : size;
         IsLower ? k2<size : k2>0;
         IsLower ? k2+=kc : k2-=kc)
@@ -92,16 +102,18 @@ struct triangular_solve_matrix<Scalar,Index,OnTheLeft,Mode,Conjugate,TriStorageO
       // A11 (the triangular part) and A21 the remaining rectangular part.
       // Then the high level algorithm is:
       //  - B = R1                    => general block copy (done during the next step)
-      //  - R1 = L1^-1 B              => tricky part
+      //  - R1 = A11^-1 B             => tricky part
       //  - update B from the new R1  => actually this has to be performed continuously during the above step
-      //  - R2 = L2 * B               => GEPP
+      //  - R2 -= A21 * B             => GEPP
 
-      // The tricky part: compute R1 = L1^-1 B while updating B from R1
-      // The idea is to split L1 into multiple small vertical panels.
-      // Each panel can be split into a small triangular part A1 which is processed without optimization,
-      // and the remaining small part A2 which is processed using gebp with appropriate block strides
+      // The tricky part: compute R1 = A11^-1 B while updating B from R1
+      // The idea is to split A11 into multiple small vertical panels.
+      // Each panel can be split into a small triangular part T1k which is processed without optimization,
+      // and the remaining small part T2k which is processed using gebp with appropriate block strides
+      for(Index j2=0; j2<cols; j2+=subcols)
       {
-        // for each small vertical panels of lhs
+        Index actual_cols = (std::min)(cols-j2,subcols);
+        // for each small vertical panels [T1k^T, T2k^T]^T of lhs
         for (Index k1=0; k1<actual_kc; k1+=SmallPanelWidth)
         {
           Index actualPanelWidth = std::min<Index>(actual_kc-k1, SmallPanelWidth);
@@ -114,11 +126,11 @@ struct triangular_solve_matrix<Scalar,Index,OnTheLeft,Mode,Conjugate,TriStorageO
             Index rs = actualPanelWidth - k - 1; // remaining size
 
             Scalar a = (Mode & UnitDiag) ? Scalar(1) : Scalar(1)/conj(tri(i,i));
-            for (Index j=0; j<cols; ++j)
+            for (Index j=j2; j<j2+actual_cols; ++j)
             {
               if (TriStorageOrder==RowMajor)
               {
-                Scalar b = 0;
+                Scalar b(0);
                 const Scalar* l = &tri(i,s);
                 Scalar* r = &other(s,j);
                 for (Index i3=0; i3<k; ++i3)
@@ -143,7 +155,7 @@ struct triangular_solve_matrix<Scalar,Index,OnTheLeft,Mode,Conjugate,TriStorageO
           Index blockBOffset = IsLower ? k1 : lengthTarget;
 
           // update the respective rows of B from other
-          pack_rhs(blockB, _other+startBlock, otherStride, actualPanelWidth, cols, actual_kc, blockBOffset);
+          pack_rhs(blockB+actual_kc*j2, &other(startBlock,j2), otherStride, actualPanelWidth, actual_cols, actual_kc, blockBOffset);
 
           // GEBP
           if (lengthTarget>0)
@@ -152,13 +164,13 @@ struct triangular_solve_matrix<Scalar,Index,OnTheLeft,Mode,Conjugate,TriStorageO
 
             pack_lhs(blockA, &tri(startTarget,startBlock), triStride, actualPanelWidth, lengthTarget);
 
-            gebp_kernel(_other+startTarget, otherStride, blockA, blockB, lengthTarget, actualPanelWidth, cols, Scalar(-1),
-                        actualPanelWidth, actual_kc, 0, blockBOffset);
+            gebp_kernel(&other(startTarget,j2), otherStride, blockA, blockB+actual_kc*j2, lengthTarget, actualPanelWidth, actual_cols, Scalar(-1),
+                        actualPanelWidth, actual_kc, 0, blockBOffset, blockW);
           }
         }
       }
-
-      // R2 = A2 * B => GEPP
+      
+      // R2 -= A21 * B => GEPP
       {
         Index start = IsLower ? k2+kc : 0;
         Index end   = IsLower ? size : k2-kc;
@@ -316,4 +328,6 @@ struct triangular_solve_matrix<Scalar,Index,OnTheRight,Mode,Conjugate,TriStorage
 
 } // end namespace internal
 
+} // end namespace Eigen
+
 #endif // EIGEN_TRIANGULAR_SOLVER_MATRIX_H
diff --git a/extern/Eigen3/Eigen/src/Core/products/TriangularSolverVector.h b/extern/Eigen3/Eigen/src/Core/products/TriangularSolverVector.h
index 639d4a5b476..f83a810618a 100644
--- a/extern/Eigen3/Eigen/src/Core/products/TriangularSolverVector.h
+++ b/extern/Eigen3/Eigen/src/Core/products/TriangularSolverVector.h
@@ -25,6 +25,8 @@
 #ifndef EIGEN_TRIANGULAR_SOLVER_VECTOR_H
 #define EIGEN_TRIANGULAR_SOLVER_VECTOR_H
 
+namespace Eigen { 
+
 namespace internal {
 
 template<typename LhsScalar, typename RhsScalar, typename Index, int Mode, bool Conjugate, int StorageOrder>
@@ -147,4 +149,6 @@ struct triangular_solve_vector<LhsScalar, RhsScalar, Index, OnTheLeft, Mode, Con
 
 } // end namespace internal
 
+} // end namespace Eigen
+
 #endif // EIGEN_TRIANGULAR_SOLVER_VECTOR_H
diff --git a/extern/Eigen3/Eigen/src/Core/util/BlasUtil.h b/extern/Eigen3/Eigen/src/Core/util/BlasUtil.h
index f1d93d2f8b9..fc798244a03 100644
--- a/extern/Eigen3/Eigen/src/Core/util/BlasUtil.h
+++ b/extern/Eigen3/Eigen/src/Core/util/BlasUtil.h
@@ -28,6 +28,8 @@
 // This file contains many lightweight helper classes used to
 // implement and control fast level 2 and level 3 BLAS-like routines.
 
+namespace Eigen {
+
 namespace internal {
 
 // forward declarations
@@ -47,7 +49,7 @@ template<
   int ResStorageOrder>
 struct general_matrix_matrix_product;
 
-template<typename Index, typename LhsScalar, int LhsStorageOrder, bool ConjugateLhs, typename RhsScalar, bool ConjugateRhs>
+template<typename Index, typename LhsScalar, int LhsStorageOrder, bool ConjugateLhs, typename RhsScalar, bool ConjugateRhs, int Version=Specialized>
 struct general_matrix_vector_product;
 
 
@@ -56,11 +58,15 @@ template<bool Conjugate> struct conj_if;
 template<> struct conj_if<true> {
   template<typename T>
   inline T operator()(const T& x) { return conj(x); }
+  template<typename T>
+  inline T pconj(const T& x) { return internal::pconj(x); }
 };
 
 template<> struct conj_if<false> {
   template<typename T>
   inline const T& operator()(const T& x) { return x; }
+  template<typename T>
+  inline const T& pconj(const T& x) { return x; }
 };
 
 template<typename Scalar> struct conj_helper<Scalar,Scalar,false,false>
@@ -118,11 +124,11 @@ template<typename RealScalar,bool Conj> struct conj_helper<RealScalar, std::comp
 };
 
 template<typename From,typename To> struct get_factor {
-  EIGEN_STRONG_INLINE static To run(const From& x) { return x; }
+  static EIGEN_STRONG_INLINE To run(const From& x) { return x; }
 };
 
 template<typename Scalar> struct get_factor<Scalar,typename NumTraits<Scalar>::Real> {
-  EIGEN_STRONG_INLINE static typename NumTraits<Scalar>::Real run(const Scalar& x) { return real(x); }
+  static EIGEN_STRONG_INLINE typename NumTraits<Scalar>::Real run(const Scalar& x) { return real(x); }
 };
 
 // Lightweight helper class to access matrix coefficients.
@@ -175,7 +181,7 @@ template<typename XprType> struct blas_traits
     ExtractType,
     typename _ExtractType::PlainObject
     >::type DirectLinearAccessType;
-  static inline const ExtractType extract(const XprType& x) { return x; }
+  static inline ExtractType extract(const XprType& x) { return x; }
   static inline const Scalar extractScalarFactor(const XprType&) { return Scalar(1); }
 };
 
@@ -192,7 +198,7 @@ struct blas_traits<CwiseUnaryOp<scalar_conjugate_op<Scalar>, NestedXpr> >
     IsComplex = NumTraits<Scalar>::IsComplex,
     NeedToConjugate = Base::NeedToConjugate ? 0 : IsComplex
   };
-  static inline const ExtractType extract(const XprType& x) { return Base::extract(x.nestedExpression()); }
+  static inline ExtractType extract(const XprType& x) { return Base::extract(x.nestedExpression()); }
   static inline Scalar extractScalarFactor(const XprType& x) { return conj(Base::extractScalarFactor(x.nestedExpression())); }
 };
 
@@ -204,7 +210,7 @@ struct blas_traits<CwiseUnaryOp<scalar_multiple_op<Scalar>, NestedXpr> >
   typedef blas_traits<NestedXpr> Base;
   typedef CwiseUnaryOp<scalar_multiple_op<Scalar>, NestedXpr> XprType;
   typedef typename Base::ExtractType ExtractType;
-  static inline const ExtractType extract(const XprType& x) { return Base::extract(x.nestedExpression()); }
+  static inline ExtractType extract(const XprType& x) { return Base::extract(x.nestedExpression()); }
   static inline Scalar extractScalarFactor(const XprType& x)
   { return x.functor().m_other * Base::extractScalarFactor(x.nestedExpression()); }
 };
@@ -217,7 +223,7 @@ struct blas_traits<CwiseUnaryOp<scalar_opposite_op<Scalar>, NestedXpr> >
   typedef blas_traits<NestedXpr> Base;
   typedef CwiseUnaryOp<scalar_opposite_op<Scalar>, NestedXpr> XprType;
   typedef typename Base::ExtractType ExtractType;
-  static inline const ExtractType extract(const XprType& x) { return Base::extract(x.nestedExpression()); }
+  static inline ExtractType extract(const XprType& x) { return Base::extract(x.nestedExpression()); }
   static inline Scalar extractScalarFactor(const XprType& x)
   { return - Base::extractScalarFactor(x.nestedExpression()); }
 };
@@ -239,7 +245,7 @@ struct blas_traits<Transpose<NestedXpr> >
   enum {
     IsTransposed = Base::IsTransposed ? 0 : 1
   };
-  static inline const ExtractType extract(const XprType& x) { return Base::extract(x.nestedExpression()); }
+  static inline ExtractType extract(const XprType& x) { return Base::extract(x.nestedExpression()); }
   static inline Scalar extractScalarFactor(const XprType& x) { return Base::extractScalarFactor(x.nestedExpression()); }
 };
 
@@ -252,7 +258,7 @@ template<typename T, bool HasUsableDirectAccess=blas_traits<T>::HasUsableDirectA
 struct extract_data_selector {
   static const typename T::Scalar* run(const T& m)
   {
-    return const_cast<typename T::Scalar*>(&blas_traits<T>::extract(m).coeffRef(0,0)); // FIXME this should be .data()
+    return blas_traits<T>::extract(m).data();
   }
 };
 
@@ -268,4 +274,6 @@ template<typename T> const typename T::Scalar* extract_data(const T& m)
 
 } // end namespace internal
 
+} // end namespace Eigen
+
 #endif // EIGEN_BLASUTIL_H
diff --git a/extern/Eigen3/Eigen/src/Core/util/Constants.h b/extern/Eigen3/Eigen/src/Core/util/Constants.h
index c3dd3a09d00..f34aac85aff 100644
--- a/extern/Eigen3/Eigen/src/Core/util/Constants.h
+++ b/extern/Eigen3/Eigen/src/Core/util/Constants.h
@@ -26,6 +26,8 @@
 #ifndef EIGEN_CONSTANTS_H
 #define EIGEN_CONSTANTS_H
 
+namespace Eigen {
+
 /** This value means that a quantity is not known at compile-time, and that instead the value is
   * stored in some runtime variable.
   *
@@ -188,7 +190,9 @@ enum {
   /** View matrix as an upper triangular matrix with zeros on the diagonal. */
   StrictlyUpper=ZeroDiag|Upper,
   /** Used in BandMatrix and SelfAdjointView to indicate that the matrix is self-adjoint. */
-  SelfAdjoint=0x10
+  SelfAdjoint=0x10,
+  /** Used to support symmetric, non-selfadjoint, complex matrices. */
+  Symmetric=0x20
 };
 
 /** \ingroup enums
@@ -200,8 +204,6 @@ enum {
   Aligned=1 
 };
 
-enum { ConditionalJumpCost = 5 };
-
 /** \ingroup enums
  * Enum used by DenseBase::corner() in Eigen2 compatibility mode. */
 // FIXME after the corner() API change, this was not needed anymore, except by AlignedBox
@@ -223,8 +225,6 @@ enum DirectionType {
   BothDirections 
 };
 
-enum ProductEvaluationMode { NormalProduct, CacheFriendlyProduct };
-
 /** \internal \ingroup enums
   * Enum to specify how to traverse the entries of a matrix. */
 enum {
@@ -257,6 +257,13 @@ enum {
   CompleteUnrolling
 };
 
+/** \internal \ingroup enums
+  * Enum to specify whether to use the default (built-in) implementation or the specialization. */
+enum {
+  Specialized,
+  BuiltIn
+};
+
 /** \ingroup enums
   * Enum containing possible values for the \p _Options template parameter of
   * Matrix, Array and BandMatrix. */
@@ -280,26 +287,21 @@ enum {
   OnTheRight = 2  
 };
 
-/* the following could as well be written:
- *   enum NoChange_t { NoChange };
- * but it feels dangerous to disambiguate overloaded functions on enum/integer types.
- * If on some platform it is really impossible to get rid of "unused variable" warnings, then
- * we can always come back to that solution.
+/* the following used to be written as:
+ *
+ *   struct NoChange_t {};
+ *   namespace {
+ *     EIGEN_UNUSED NoChange_t NoChange;
+ *   }
+ *
+ * on the ground that it feels dangerous to disambiguate overloaded functions on enum/integer types.  
+ * However, this leads to "variable declared but never referenced" warnings on Intel Composer XE,
+ * and we do not know how to get rid of them (bug 450).
  */
-struct NoChange_t {};
-namespace {
-  EIGEN_UNUSED NoChange_t NoChange;
-}
-
-struct Sequential_t {};
-namespace {
-  EIGEN_UNUSED Sequential_t Sequential;
-}
 
-struct Default_t {};
-namespace {
-  EIGEN_UNUSED Default_t Default;
-}
+enum NoChange_t   { NoChange };
+enum Sequential_t { Sequential };
+enum Default_t    { Default };
 
 /** \internal \ingroup enums
   * Used in AmbiVector. */
@@ -375,7 +377,7 @@ enum QRPreconditioners {
 #error The preprocessor symbol 'Success' is defined, possibly by the X11 header file X.h
 #endif
 
-/** \ingroups enums
+/** \ingroup enums
   * Enum for reporting the status of a computation. */
 enum ComputationInfo {
   /** Computation was successful. */
@@ -383,7 +385,10 @@ enum ComputationInfo {
   /** The provided data did not satisfy the prerequisites. */
   NumericalIssue = 1, 
   /** Iterative procedure did not converge. */
-  NoConvergence = 2
+  NoConvergence = 2,
+  /** The inputs are invalid, or the algorithm has been improperly called.
+    * When assertions are enabled, such errors trigger an assert. */
+  InvalidInput = 3
 };
 
 /** \ingroup enums
@@ -436,4 +441,6 @@ struct MatrixXpr {};
 /** The type used to identify an array expression */
 struct ArrayXpr {};
 
+} // end namespace Eigen
+
 #endif // EIGEN_CONSTANTS_H
diff --git a/extern/Eigen3/Eigen/src/Core/util/DisableStupidWarnings.h b/extern/Eigen3/Eigen/src/Core/util/DisableStupidWarnings.h
index 00730524b26..6a0bf0629c5 100644
--- a/extern/Eigen3/Eigen/src/Core/util/DisableStupidWarnings.h
+++ b/extern/Eigen3/Eigen/src/Core/util/DisableStupidWarnings.h
@@ -21,15 +21,13 @@
 #elif defined __INTEL_COMPILER
   // 2196 - routine is both "inline" and "noinline" ("noinline" assumed)
   //        ICC 12 generates this warning even without any inline keyword, when defining class methods 'inline' i.e. inside of class body
-  // 2536 - type qualifiers are meaningless here
-  //        ICC 12 generates this warning when a function return type is const qualified, even if that type is a template-parameter-dependent
   //        typedef that may be a reference type.
   // 279  - controlling expression is constant
   //        ICC 12 generates this warning on assert(constant_expression_depending_on_template_params) and frankly this is a legitimate use case.
   #ifndef EIGEN_PERMANENTLY_DISABLE_STUPID_WARNINGS
     #pragma warning push
   #endif
-  #pragma warning disable 2196 2536 279
+  #pragma warning disable 2196 279
 #elif defined __clang__
   // -Wconstant-logical-operand - warning: use of logical && with constant operand; switch to bitwise & or remove constant
   //     this is really a stupid warning as it warns on compile-time expressions involving enums
diff --git a/extern/Eigen3/Eigen/src/Core/util/ForwardDeclarations.h b/extern/Eigen3/Eigen/src/Core/util/ForwardDeclarations.h
index 7fbccf98c2b..e5303f0523b 100644
--- a/extern/Eigen3/Eigen/src/Core/util/ForwardDeclarations.h
+++ b/extern/Eigen3/Eigen/src/Core/util/ForwardDeclarations.h
@@ -26,6 +26,7 @@
 #ifndef EIGEN_FORWARDDECLARATIONS_H
 #define EIGEN_FORWARDDECLARATIONS_H
 
+namespace Eigen {
 namespace internal {
 
 template<typename T> struct traits;
@@ -133,6 +134,7 @@ template<typename ExpressionType> class WithFormat;
 template<typename MatrixType> struct CommaInitializer;
 template<typename Derived> class ReturnByValue;
 template<typename ExpressionType> class ArrayWrapper;
+template<typename ExpressionType> class MatrixWrapper;
 
 namespace internal {
 template<typename DecompositionType, typename Rhs> struct solve_retval_base;
@@ -282,6 +284,8 @@ template<typename MatrixType,int Direction> class Homogeneous;
 // MatrixFunctions module
 template<typename Derived> struct MatrixExponentialReturnValue;
 template<typename Derived> class MatrixFunctionReturnValue;
+template<typename Derived> class MatrixSquareRootReturnValue;
+template<typename Derived> class MatrixLogarithmReturnValue;
 
 namespace internal {
 template <typename Scalar>
@@ -304,4 +308,6 @@ template<typename MatrixType, unsigned int Mode> struct eigen2_part_return_type;
 }
 #endif
 
+} // end namespace Eigen
+
 #endif // EIGEN_FORWARDDECLARATIONS_H
diff --git a/extern/Eigen3/Eigen/src/Core/util/Macros.h b/extern/Eigen3/Eigen/src/Core/util/Macros.h
index b7c2b79af92..cbea97c310d 100644
--- a/extern/Eigen3/Eigen/src/Core/util/Macros.h
+++ b/extern/Eigen3/Eigen/src/Core/util/Macros.h
@@ -1,4 +1,3 @@
-
 // This file is part of Eigen, a lightweight C++ template library
 // for linear algebra.
 //
@@ -29,7 +28,7 @@
 
 #define EIGEN_WORLD_VERSION 3
 #define EIGEN_MAJOR_VERSION 0
-#define EIGEN_MINOR_VERSION 5
+#define EIGEN_MINOR_VERSION 92
 
 #define EIGEN_VERSION_AT_LEAST(x,y,z) (EIGEN_WORLD_VERSION>x || (EIGEN_WORLD_VERSION>=x && \
                                       (EIGEN_MAJOR_VERSION>y || (EIGEN_MAJOR_VERSION>=y && \
@@ -235,12 +234,16 @@
 #define EIGEN_ONLY_USED_FOR_DEBUG(x)
 #endif
 
-#if (defined __GNUC__)
-#define EIGEN_DEPRECATED __attribute__((deprecated))
-#elif (defined _MSC_VER)
-#define EIGEN_DEPRECATED __declspec(deprecated)
+#ifndef EIGEN_NO_DEPRECATED_WARNING
+  #if (defined __GNUC__)
+    #define EIGEN_DEPRECATED __attribute__((deprecated))
+  #elif (defined _MSC_VER)
+    #define EIGEN_DEPRECATED __declspec(deprecated)
+  #else
+    #define EIGEN_DEPRECATED
+  #endif
 #else
-#define EIGEN_DEPRECATED
+  #define EIGEN_DEPRECATED
 #endif
 
 #if (defined __GNUC__)
@@ -252,7 +255,7 @@
 // Suppresses 'unused variable' warnings.
 #define EIGEN_UNUSED_VARIABLE(var) (void)var;
 
-#if (defined __GNUC__)
+#if !defined(EIGEN_ASM_COMMENT) && (defined __GNUC__)
 #define EIGEN_ASM_COMMENT(X)  asm("#" X)
 #else
 #define EIGEN_ASM_COMMENT(X)
diff --git a/extern/Eigen3/Eigen/src/Core/util/Memory.h b/extern/Eigen3/Eigen/src/Core/util/Memory.h
index 023716dc9e0..56a16b5cb8a 100644
--- a/extern/Eigen3/Eigen/src/Core/util/Memory.h
+++ b/extern/Eigen3/Eigen/src/Core/util/Memory.h
@@ -80,6 +80,8 @@
   #define EIGEN_HAS_MM_MALLOC 0
 #endif
 
+namespace Eigen {
+
 namespace internal {
 
 inline void throw_std_bad_alloc()
@@ -457,7 +459,7 @@ template<typename T, bool Align> inline void conditional_aligned_delete_auto(T *
   * There is also the variant first_aligned(const MatrixBase&) defined in DenseCoeffsBase.h.
   */
 template<typename Scalar, typename Index>
-inline static Index first_aligned(const Scalar* array, Index size)
+static inline Index first_aligned(const Scalar* array, Index size)
 {
   typedef typename packet_traits<Scalar>::type Packet;
   enum { PacketSize = packet_traits<Scalar>::size,
@@ -483,7 +485,26 @@ inline static Index first_aligned(const Scalar* array, Index size)
   }
 }
 
-} // end namespace internal
+
+// std::copy is much slower than memcpy, so let's introduce a smart_copy which
+// use memcpy on trivial types, i.e., on types that does not require an initialization ctor.
+template<typename T, bool UseMemcpy> struct smart_copy_helper;
+
+template<typename T> void smart_copy(const T* start, const T* end, T* target)
+{
+  smart_copy_helper<T,!NumTraits<T>::RequireInitialization>::run(start, end, target);
+}
+
+template<typename T> struct smart_copy_helper<T,true> {
+  static inline void run(const T* start, const T* end, T* target)
+  { memcpy(target, start, std::ptrdiff_t(end)-std::ptrdiff_t(start)); }
+};
+
+template<typename T> struct smart_copy_helper<T,false> {
+  static inline void run(const T* start, const T* end, T* target)
+  { std::copy(start, end, target); }
+};
+
 
 /*****************************************************************************
 *** Implementation of runtime stack allocation (falling back to malloc)    ***
@@ -499,8 +520,6 @@ inline static Index first_aligned(const Scalar* array, Index size)
   #endif
 #endif
 
-namespace internal {
-
 // This helper class construct the allocated memory, and takes care of destructing and freeing the handled data
 // at destruction time. In practice this helper class is mainly useful to avoid memory leak in case of exceptions.
 template<typename T> class aligned_stack_memory_handler
@@ -531,14 +550,14 @@ template<typename T> class aligned_stack_memory_handler
     bool m_deallocate;
 };
 
-}
+} // end namespace internal
 
 /** \internal
   * Declares, allocates and construct an aligned buffer named NAME of SIZE elements of type TYPE on the stack
   * if SIZE is smaller than EIGEN_STACK_ALLOCATION_LIMIT, and if stack allocation is supported by the platform
   * (currently, this is Linux and Visual Studio only). Otherwise the memory is allocated on the heap.
   * The allocated buffer is automatically deleted when exiting the scope of this declaration.
-  * If BUFFER is non nul, then the declared variable is simply an alias for BUFFER, and no allocation/deletion occurs.
+  * If BUFFER is non null, then the declared variable is simply an alias for BUFFER, and no allocation/deletion occurs.
   * Here is an example:
   * \code
   * {
@@ -619,7 +638,7 @@ template<typename T> class aligned_stack_memory_handler
 
 #define EIGEN_MAKE_ALIGNED_OPERATOR_NEW EIGEN_MAKE_ALIGNED_OPERATOR_NEW_IF(true)
 #define EIGEN_MAKE_ALIGNED_OPERATOR_NEW_IF_VECTORIZABLE_FIXED_SIZE(Scalar,Size) \
-  EIGEN_MAKE_ALIGNED_OPERATOR_NEW_IF(((Size)!=Eigen::Dynamic) && ((sizeof(Scalar)*(Size))%16==0))
+  EIGEN_MAKE_ALIGNED_OPERATOR_NEW_IF(bool(((Size)!=Eigen::Dynamic) && ((sizeof(Scalar)*(Size))%16==0)))
 
 /****************************************************************************/
 
@@ -667,24 +686,24 @@ public:
         return &value;
     }
 
-    aligned_allocator() throw()
+    aligned_allocator()
     {
     }
 
-    aligned_allocator( const aligned_allocator& ) throw()
+    aligned_allocator( const aligned_allocator& )
     {
     }
 
     template<class U>
-    aligned_allocator( const aligned_allocator<U>& ) throw()
+    aligned_allocator( const aligned_allocator<U>& )
     {
     }
 
-    ~aligned_allocator() throw()
+    ~aligned_allocator()
     {
     }
 
-    size_type max_size() const throw()
+    size_type max_size() const
     {
         return (std::numeric_limits<size_type>::max)();
     }
@@ -701,6 +720,15 @@ public:
         ::new( p ) T( value );
     }
 
+    // Support for c++11
+#if (__cplusplus >= 201103L)
+    template<typename... Args>
+    void  construct(pointer p, Args&&... args)
+    {
+      ::new(p) T(std::forward<Args>(args)...);
+    }
+#endif
+
     void destroy( pointer p )
     {
         p->~T();
@@ -720,19 +748,21 @@ public:
 
 //---------- Cache sizes ----------
 
-#if defined(__GNUC__) && ( defined(__i386__) || defined(__x86_64__) )
-#  if defined(__PIC__) && defined(__i386__)
-     // Case for x86 with PIC
-#    define EIGEN_CPUID(abcd,func,id) \
-       __asm__ __volatile__ ("xchgl %%ebx, %%esi;cpuid; xchgl %%ebx,%%esi": "=a" (abcd[0]), "=S" (abcd[1]), "=c" (abcd[2]), "=d" (abcd[3]) : "a" (func), "c" (id));
-#  else
-     // Case for x86_64 or x86 w/o PIC
-#    define EIGEN_CPUID(abcd,func,id) \
-       __asm__ __volatile__ ("cpuid": "=a" (abcd[0]), "=b" (abcd[1]), "=c" (abcd[2]), "=d" (abcd[3]) : "a" (func), "c" (id) );
-#  endif
-#elif defined(_MSC_VER)
-#  if (_MSC_VER > 1500)
-#    define EIGEN_CPUID(abcd,func,id) __cpuidex((int*)abcd,func,id)
+#if !defined(EIGEN_NO_CPUID)
+#  if defined(__GNUC__) && ( defined(__i386__) || defined(__x86_64__) )
+#    if defined(__PIC__) && defined(__i386__)
+       // Case for x86 with PIC
+#      define EIGEN_CPUID(abcd,func,id) \
+         __asm__ __volatile__ ("xchgl %%ebx, %%esi;cpuid; xchgl %%ebx,%%esi": "=a" (abcd[0]), "=S" (abcd[1]), "=c" (abcd[2]), "=d" (abcd[3]) : "a" (func), "c" (id));
+#    else
+       // Case for x86_64 or x86 w/o PIC
+#      define EIGEN_CPUID(abcd,func,id) \
+         __asm__ __volatile__ ("cpuid": "=a" (abcd[0]), "=b" (abcd[1]), "=c" (abcd[2]), "=d" (abcd[3]) : "a" (func), "c" (id) );
+#    endif
+#  elif defined(_MSC_VER)
+#    if (_MSC_VER > 1500)
+#      define EIGEN_CPUID(abcd,func,id) __cpuidex((int*)abcd,func,id)
+#    endif
 #  endif
 #endif
 
@@ -742,7 +772,7 @@ namespace internal {
 
 inline bool cpuid_is_vendor(int abcd[4], const char* vendor)
 {
-  return abcd[1]==((int*)(vendor))[0] && abcd[3]==((int*)(vendor))[1] && abcd[2]==((int*)(vendor))[2];
+  return abcd[1]==(reinterpret_cast<const int*>(vendor))[0] && abcd[3]==(reinterpret_cast<const int*>(vendor))[1] && abcd[2]==(reinterpret_cast<const int*>(vendor))[2];
 }
 
 inline void queryCacheSizes_intel_direct(int& l1, int& l2, int& l3)
@@ -932,4 +962,6 @@ inline int queryTopLevelCacheSize()
 
 } // end namespace internal
 
+} // end namespace Eigen
+
 #endif // EIGEN_MEMORY_H
diff --git a/extern/Eigen3/Eigen/src/Core/util/Meta.h b/extern/Eigen3/Eigen/src/Core/util/Meta.h
index 4518261efef..7ece430acaa 100644
--- a/extern/Eigen3/Eigen/src/Core/util/Meta.h
+++ b/extern/Eigen3/Eigen/src/Core/util/Meta.h
@@ -26,6 +26,8 @@
 #ifndef EIGEN_META_H
 #define EIGEN_META_H
 
+namespace Eigen {
+
 namespace internal {
 
 /** \internal
@@ -80,8 +82,6 @@ template<> struct is_arithmetic<signed int>    { enum { value = true }; };
 template<> struct is_arithmetic<unsigned int>  { enum { value = true }; };
 template<> struct is_arithmetic<signed long>   { enum { value = true }; };
 template<> struct is_arithmetic<unsigned long> { enum { value = true }; };
-template<> struct is_arithmetic<signed long long>   { enum { value = true }; };
-template<> struct is_arithmetic<unsigned long long> { enum { value = true }; };
 
 template <typename T> struct add_const { typedef const T type; };
 template <typename T> struct add_const<T&> { typedef T& type; };
@@ -226,4 +226,6 @@ template<typename T, int S> struct is_diagonal<DiagonalMatrix<T,S> >
 
 } // end namespace internal
 
+} // end namespace Eigen
+
 #endif // EIGEN_META_H
diff --git a/extern/Eigen3/Eigen/src/Core/util/StaticAssert.h b/extern/Eigen3/Eigen/src/Core/util/StaticAssert.h
index 99c7c9972f0..9a5dbbbf3b5 100644
--- a/extern/Eigen3/Eigen/src/Core/util/StaticAssert.h
+++ b/extern/Eigen3/Eigen/src/Core/util/StaticAssert.h
@@ -48,6 +48,8 @@
 
   #else // not CXX0X
 
+    namespace Eigen {
+
     namespace internal {
 
     template<bool condition>
@@ -70,6 +72,7 @@
         YOU_CALLED_A_DYNAMIC_SIZE_METHOD_ON_A_FIXED_SIZE_MATRIX_OR_VECTOR,
         UNALIGNED_LOAD_AND_STORE_OPERATIONS_UNIMPLEMENTED_ON_ALTIVEC,
         THIS_FUNCTION_IS_NOT_FOR_INTEGER_NUMERIC_TYPES,
+        FLOATING_POINT_ARGUMENT_PASSED__INTEGER_WAS_EXPECTED,
         NUMERIC_TYPE_MUST_BE_REAL,
         COEFFICIENT_WRITE_ACCESS_TO_SELFADJOINT_NOT_SUPPORTED,
         WRITING_TO_TRIANGULAR_PART_WITH_UNIT_DIAGONAL_IS_NOT_SUPPORTED,
@@ -95,12 +98,20 @@
         YOU_PERFORMED_AN_INVALID_TRANSFORMATION_CONVERSION,
         THIS_EXPRESSION_IS_NOT_A_LVALUE__IT_IS_READ_ONLY,
         YOU_ARE_TRYING_TO_USE_AN_INDEX_BASED_ACCESSOR_ON_AN_EXPRESSION_THAT_DOES_NOT_SUPPORT_THAT,
-        THIS_METHOD_IS_ONLY_FOR_1x1_EXPRESSIONS
+        THIS_METHOD_IS_ONLY_FOR_1x1_EXPRESSIONS,
+        THIS_METHOD_IS_ONLY_FOR_EXPRESSIONS_OF_BOOL,
+        THIS_METHOD_IS_ONLY_FOR_ARRAYS_NOT_MATRICES,
+        YOU_PASSED_A_ROW_VECTOR_BUT_A_COLUMN_VECTOR_WAS_EXPECTED,
+        YOU_PASSED_A_COLUMN_VECTOR_BUT_A_ROW_VECTOR_WAS_EXPECTED,
+        THE_INDEX_TYPE_MUST_BE_A_SIGNED_TYPE,
+        THE_STORAGE_ORDER_OF_BOTH_SIDES_MUST_MATCH
       };
     };
 
     } // end namespace internal
 
+    } // end namespace Eigen
+
     // Specialized implementation for MSVC to avoid "conditional
     // expression is constant" warnings.  This implementation doesn't
     // appear to work under GCC, hence the multiple implementations.
@@ -195,4 +206,15 @@
       EIGEN_STATIC_ASSERT(internal::is_lvalue<Derived>::value, \
                           THIS_EXPRESSION_IS_NOT_A_LVALUE__IT_IS_READ_ONLY)
 
+#define EIGEN_STATIC_ASSERT_ARRAYXPR(Derived) \
+      EIGEN_STATIC_ASSERT((internal::is_same<typename internal::traits<Derived>::XprKind, ArrayXpr>::value), \
+                          THIS_METHOD_IS_ONLY_FOR_ARRAYS_NOT_MATRICES)
+
+#define EIGEN_STATIC_ASSERT_SAME_XPR_KIND(Derived1, Derived2) \
+      EIGEN_STATIC_ASSERT((internal::is_same<typename internal::traits<Derived1>::XprKind, \
+                                             typename internal::traits<Derived2>::XprKind \
+                                            >::value), \
+                          YOU_CANNOT_MIX_ARRAYS_AND_MATRICES)
+
+
 #endif // EIGEN_STATIC_ASSERT_H
diff --git a/extern/Eigen3/Eigen/src/Core/util/XprHelper.h b/extern/Eigen3/Eigen/src/Core/util/XprHelper.h
index c2078f13786..5bb0a624f01 100644
--- a/extern/Eigen3/Eigen/src/Core/util/XprHelper.h
+++ b/extern/Eigen3/Eigen/src/Core/util/XprHelper.h
@@ -37,6 +37,8 @@
   #define EIGEN_EMPTY_STRUCT_CTOR(X)
 #endif
 
+namespace Eigen {
+
 typedef EIGEN_DEFAULT_DENSE_INDEX_TYPE DenseIndex;
 
 namespace internal {
@@ -260,30 +262,27 @@ template<typename T> struct plain_matrix_type_row_major
 // we should be able to get rid of this one too
 template<typename T> struct must_nest_by_value { enum { ret = false }; };
 
-template<class T>
-struct is_reference
-{
-  enum { ret = false };
-};
-
-template<class T>
-struct is_reference<T&>
-{
-  enum { ret = true };
-};
-
-/**
-* \internal The reference selector for template expressions. The idea is that we don't
-* need to use references for expressions since they are light weight proxy
-* objects which should generate no copying overhead.
-**/
+/** \internal The reference selector for template expressions. The idea is that we don't
+  * need to use references for expressions since they are light weight proxy
+  * objects which should generate no copying overhead. */
 template <typename T>
 struct ref_selector
 {
   typedef typename conditional<
     bool(traits<T>::Flags & NestByRefBit),
     T const&,
-    T
+    const T
+  >::type type;
+};
+
+/** \internal Adds the const qualifier on the value-type of T2 if and only if T1 is a const type */
+template<typename T1, typename T2>
+struct transfer_constness
+{
+  typedef typename conditional<
+    bool(internal::is_const<T1>::value),
+    typename internal::add_const_on_value_type<T2>::type,
+    T2
   >::type type;
 };
 
@@ -297,6 +296,8 @@ struct ref_selector
   * \param T the type of the expression being nested
   * \param n the number of coefficient accesses in the nested expression for each coefficient access in the bigger expression.
   *
+  * Note that if no evaluation occur, then the constness of T is preserved.
+  *
   * Example. Suppose that a, b, and c are of type Matrix3d. The user forms the expression a*(b+c).
   * b+c is an expression "sum of matrices", which we will denote by S. In order to determine how to nest it,
   * the Product expression uses: nested<S, 3>::ret, which turns out to be Matrix3d because the internal logic of
@@ -456,4 +457,6 @@ struct is_lvalue
 
 } // end namespace internal
 
+} // end namespace Eigen
+
 #endif // EIGEN_XPRHELPER_H
diff --git a/extern/Eigen3/Eigen/src/Eigen2Support/Block.h b/extern/Eigen3/Eigen/src/Eigen2Support/Block.h
index bc28051e017..d77ff62bb95 100644
--- a/extern/Eigen3/Eigen/src/Eigen2Support/Block.h
+++ b/extern/Eigen3/Eigen/src/Eigen2Support/Block.h
@@ -26,6 +26,8 @@
 #ifndef EIGEN_BLOCK2_H
 #define EIGEN_BLOCK2_H
 
+namespace Eigen { 
+
 /** \returns a dynamic-size expression of a corner of *this.
   *
   * \param type the type of corner. Can be \a Eigen::TopLeft, \a Eigen::TopRight,
@@ -134,4 +136,6 @@ DenseBase<Derived>::corner(CornerType type) const
   }
 }
 
+} // end namespace Eigen
+
 #endif // EIGEN_BLOCK2_H
diff --git a/extern/Eigen3/Eigen/src/Eigen2Support/Cwise.h b/extern/Eigen3/Eigen/src/Eigen2Support/Cwise.h
index 2dc83b6a7dd..383645b8e0a 100644
--- a/extern/Eigen3/Eigen/src/Eigen2Support/Cwise.h
+++ b/extern/Eigen3/Eigen/src/Eigen2Support/Cwise.h
@@ -26,6 +26,8 @@
 #ifndef EIGEN_CWISE_H
 #define EIGEN_CWISE_H
 
+namespace Eigen { 
+
 /** \internal
   * convenient macro to defined the return type of a cwise binary operation */
 #define EIGEN_CWISE_BINOP_RETURN_TYPE(OP) \
@@ -200,4 +202,6 @@ inline Cwise<Derived> MatrixBase<Derived>::cwise()
   return derived();
 }
 
+} // end namespace Eigen
+
 #endif // EIGEN_CWISE_H
diff --git a/extern/Eigen3/Eigen/src/Eigen2Support/CwiseOperators.h b/extern/Eigen3/Eigen/src/Eigen2Support/CwiseOperators.h
index 9c28559c329..207a167c127 100644
--- a/extern/Eigen3/Eigen/src/Eigen2Support/CwiseOperators.h
+++ b/extern/Eigen3/Eigen/src/Eigen2Support/CwiseOperators.h
@@ -25,6 +25,8 @@
 #ifndef EIGEN_ARRAY_CWISE_OPERATORS_H
 #define EIGEN_ARRAY_CWISE_OPERATORS_H
 
+namespace Eigen { 
+
 /***************************************************************************
 * The following functions were defined in Core
 ***************************************************************************/
@@ -306,4 +308,6 @@ inline ExpressionType& Cwise<ExpressionType>::operator-=(const Scalar& scalar)
   return m_matrix.const_cast_derived() = *this - scalar;
 }
 
+} // end namespace Eigen
+
 #endif // EIGEN_ARRAY_CWISE_OPERATORS_H
diff --git a/extern/Eigen3/Eigen/src/Eigen2Support/Geometry/AlignedBox.h b/extern/Eigen3/Eigen/src/Eigen2Support/Geometry/AlignedBox.h
index 78df29d408a..dd29dfc3481 100644
--- a/extern/Eigen3/Eigen/src/Eigen2Support/Geometry/AlignedBox.h
+++ b/extern/Eigen3/Eigen/src/Eigen2Support/Geometry/AlignedBox.h
@@ -24,6 +24,8 @@
 
 // no include guard, we'll include this twice from All.h from Eigen2Support, and it's internal anyway
 
+namespace Eigen { 
+
 /** \geometry_module \ingroup Geometry_Module
   * \nonstableyet
   *
@@ -63,7 +65,7 @@ EIGEN_MAKE_ALIGNED_OPERATOR_NEW_IF_VECTORIZABLE_FIXED_SIZE(_Scalar,_AmbientDim==
   ~AlignedBox() {}
 
   /** \returns the dimension in which the box holds */
-  inline int dim() const { return AmbientDimAtCompileTime==Dynamic ? m_min.size()-1 : int(AmbientDimAtCompileTime); }
+  inline int dim() const { return AmbientDimAtCompileTime==Dynamic ? m_min.size()-1 : AmbientDimAtCompileTime; }
 
   /** \returns true if the box is null, i.e, empty. */
   inline bool isNull() const { return (m_min.cwise() > m_max).any(); }
@@ -157,14 +159,16 @@ protected:
 template<typename Scalar,int AmbiantDim>
 inline Scalar AlignedBox<Scalar,AmbiantDim>::squaredExteriorDistance(const VectorType& p) const
 {
-  Scalar dist2 = 0.;
+  Scalar dist2(0);
   Scalar aux;
   for (int k=0; k<dim(); ++k)
   {
-    if ((aux = (p[k]-m_min[k]))<0.)
+    if ((aux = (p[k]-m_min[k]))<Scalar(0))
       dist2 += aux*aux;
-    else if ( (aux = (m_max[k]-p[k]))<0. )
+    else if ( (aux = (m_max[k]-p[k]))<Scalar(0))
       dist2 += aux*aux;
   }
   return dist2;
 }
+
+} // end namespace Eigen
diff --git a/extern/Eigen3/Eigen/src/Eigen2Support/Geometry/All.h b/extern/Eigen3/Eigen/src/Eigen2Support/Geometry/All.h
index 9d8244b07a0..e0b00fccccf 100644
--- a/extern/Eigen3/Eigen/src/Eigen2Support/Geometry/All.h
+++ b/extern/Eigen3/Eigen/src/Eigen2Support/Geometry/All.h
@@ -112,4 +112,4 @@
 #undef Hyperplane
 #undef ParametrizedLine
 
-#endif // EIGEN2_GEOMETRY_MODULE_H
\ No newline at end of file
+#endif // EIGEN2_GEOMETRY_MODULE_H
diff --git a/extern/Eigen3/Eigen/src/Eigen2Support/Geometry/AngleAxis.h b/extern/Eigen3/Eigen/src/Eigen2Support/Geometry/AngleAxis.h
index f7b2d51e3e2..2a3cce4e74c 100644
--- a/extern/Eigen3/Eigen/src/Eigen2Support/Geometry/AngleAxis.h
+++ b/extern/Eigen3/Eigen/src/Eigen2Support/Geometry/AngleAxis.h
@@ -24,6 +24,7 @@
 
 // no include guard, we'll include this twice from All.h from Eigen2Support, and it's internal anyway
 
+namespace Eigen { 
 
 /** \geometry_module \ingroup Geometry_Module
   *
@@ -224,3 +225,5 @@ AngleAxis<Scalar>::toRotationMatrix(void) const
 
   return res;
 }
+
+} // end namespace Eigen
diff --git a/extern/Eigen3/Eigen/src/Eigen2Support/Geometry/Hyperplane.h b/extern/Eigen3/Eigen/src/Eigen2Support/Geometry/Hyperplane.h
index 81c4f55b173..8b4f7a0809d 100644
--- a/extern/Eigen3/Eigen/src/Eigen2Support/Geometry/Hyperplane.h
+++ b/extern/Eigen3/Eigen/src/Eigen2Support/Geometry/Hyperplane.h
@@ -25,6 +25,8 @@
 
 // no include guard, we'll include this twice from All.h from Eigen2Support, and it's internal anyway
 
+namespace Eigen { 
+
 /** \geometry_module \ingroup Geometry_Module
   *
   * \class Hyperplane
@@ -263,3 +265,5 @@ protected:
 
   Coefficients m_coeffs;
 };
+
+} // end namespace Eigen
diff --git a/extern/Eigen3/Eigen/src/Eigen2Support/Geometry/ParametrizedLine.h b/extern/Eigen3/Eigen/src/Eigen2Support/Geometry/ParametrizedLine.h
index 411c4b57079..cc8eb708931 100644
--- a/extern/Eigen3/Eigen/src/Eigen2Support/Geometry/ParametrizedLine.h
+++ b/extern/Eigen3/Eigen/src/Eigen2Support/Geometry/ParametrizedLine.h
@@ -25,6 +25,7 @@
 
 // no include guard, we'll include this twice from All.h from Eigen2Support, and it's internal anyway
 
+namespace Eigen { 
 
 /** \geometry_module \ingroup Geometry_Module
   *
@@ -151,3 +152,5 @@ inline _Scalar ParametrizedLine<_Scalar, _AmbientDim>::intersection(const Hyperp
   return -(hyperplane.offset()+origin().eigen2_dot(hyperplane.normal()))
           /(direction().eigen2_dot(hyperplane.normal()));
 }
+
+} // end namespace Eigen
diff --git a/extern/Eigen3/Eigen/src/Eigen2Support/Geometry/Quaternion.h b/extern/Eigen3/Eigen/src/Eigen2Support/Geometry/Quaternion.h
index a75fa42aeac..616671c67be 100644
--- a/extern/Eigen3/Eigen/src/Eigen2Support/Geometry/Quaternion.h
+++ b/extern/Eigen3/Eigen/src/Eigen2Support/Geometry/Quaternion.h
@@ -24,6 +24,8 @@
 
 // no include guard, we'll include this twice from All.h from Eigen2Support, and it's internal anyway
 
+namespace Eigen { 
+
 template<typename Other,
          int OtherRows=Other::RowsAtCompileTime,
          int OtherCols=Other::ColsAtCompileTime>
@@ -143,7 +145,7 @@ public:
   /** \returns a quaternion representing an identity rotation
     * \sa MatrixBase::Identity()
     */
-  inline static Quaternion Identity() { return Quaternion(1, 0, 0, 0); }
+  static inline Quaternion Identity() { return Quaternion(1, 0, 0, 0); }
 
   /** \sa Quaternion::Identity(), MatrixBase::setIdentity()
     */
@@ -314,9 +316,9 @@ Quaternion<Scalar>::toRotationMatrix(void) const
   // it has to be inlined, and so the return by value is not an issue
   Matrix3 res;
 
-  const Scalar tx  = 2*this->x();
-  const Scalar ty  = 2*this->y();
-  const Scalar tz  = 2*this->z();
+  const Scalar tx  = Scalar(2)*this->x();
+  const Scalar ty  = Scalar(2)*this->y();
+  const Scalar tz  = Scalar(2)*this->z();
   const Scalar twx = tx*this->w();
   const Scalar twy = ty*this->w();
   const Scalar twz = tz*this->w();
@@ -327,15 +329,15 @@ Quaternion<Scalar>::toRotationMatrix(void) const
   const Scalar tyz = tz*this->y();
   const Scalar tzz = tz*this->z();
 
-  res.coeffRef(0,0) = 1-(tyy+tzz);
+  res.coeffRef(0,0) = Scalar(1)-(tyy+tzz);
   res.coeffRef(0,1) = txy-twz;
   res.coeffRef(0,2) = txz+twy;
   res.coeffRef(1,0) = txy+twz;
-  res.coeffRef(1,1) = 1-(txx+tzz);
+  res.coeffRef(1,1) = Scalar(1)-(txx+tzz);
   res.coeffRef(1,2) = tyz-twx;
   res.coeffRef(2,0) = txz-twy;
   res.coeffRef(2,1) = tyz+twx;
-  res.coeffRef(2,2) = 1-(txx+tyy);
+  res.coeffRef(2,2) = Scalar(1)-(txx+tyy);
 
   return res;
 }
@@ -460,7 +462,7 @@ template<typename Other>
 struct ei_quaternion_assign_impl<Other,3,3>
 {
   typedef typename Other::Scalar Scalar;
-  inline static void run(Quaternion<Scalar>& q, const Other& mat)
+  static inline void run(Quaternion<Scalar>& q, const Other& mat)
   {
     // This algorithm comes from  "Quaternion Calculus and Fast Animation",
     // Ken Shoemake, 1987 SIGGRAPH course notes
@@ -499,8 +501,10 @@ template<typename Other>
 struct ei_quaternion_assign_impl<Other,4,1>
 {
   typedef typename Other::Scalar Scalar;
-  inline static void run(Quaternion<Scalar>& q, const Other& vec)
+  static inline void run(Quaternion<Scalar>& q, const Other& vec)
   {
     q.coeffs() = vec;
   }
 };
+
+} // end namespace Eigen
diff --git a/extern/Eigen3/Eigen/src/Eigen2Support/Geometry/Rotation2D.h b/extern/Eigen3/Eigen/src/Eigen2Support/Geometry/Rotation2D.h
index ee7c80e7eaa..0993fa5bb35 100644
--- a/extern/Eigen3/Eigen/src/Eigen2Support/Geometry/Rotation2D.h
+++ b/extern/Eigen3/Eigen/src/Eigen2Support/Geometry/Rotation2D.h
@@ -24,6 +24,7 @@
 
 // no include guard, we'll include this twice from All.h from Eigen2Support, and it's internal anyway
 
+namespace Eigen { 
 
 /** \geometry_module \ingroup Geometry_Module
   *
@@ -155,3 +156,5 @@ Rotation2D<Scalar>::toRotationMatrix(void) const
   Scalar cosA = ei_cos(m_angle);
   return (Matrix2() << cosA, -sinA, sinA, cosA).finished();
 }
+
+} // end namespace Eigen
diff --git a/extern/Eigen3/Eigen/src/Eigen2Support/Geometry/RotationBase.h b/extern/Eigen3/Eigen/src/Eigen2Support/Geometry/RotationBase.h
index 2f494f198bd..b65abfe0d42 100644
--- a/extern/Eigen3/Eigen/src/Eigen2Support/Geometry/RotationBase.h
+++ b/extern/Eigen3/Eigen/src/Eigen2Support/Geometry/RotationBase.h
@@ -24,6 +24,8 @@
 
 // no include guard, we'll include this twice from All.h from Eigen2Support, and it's internal anyway
 
+namespace Eigen { 
+
 // this file aims to contains the various representations of rotation/orientation
 // in 2D and 3D space excepted Matrix and Quaternion.
 
@@ -113,22 +115,24 @@ Matrix<_Scalar, _Rows, _Cols, _Storage, _MaxRows, _MaxCols>
   * \sa class Transform, class Rotation2D, class Quaternion, class AngleAxis
   */
 template<typename Scalar, int Dim>
-inline static Matrix<Scalar,2,2> ei_toRotationMatrix(const Scalar& s)
+static inline Matrix<Scalar,2,2> ei_toRotationMatrix(const Scalar& s)
 {
   EIGEN_STATIC_ASSERT(Dim==2,YOU_MADE_A_PROGRAMMING_MISTAKE)
   return Rotation2D<Scalar>(s).toRotationMatrix();
 }
 
 template<typename Scalar, int Dim, typename OtherDerived>
-inline static Matrix<Scalar,Dim,Dim> ei_toRotationMatrix(const RotationBase<OtherDerived,Dim>& r)
+static inline Matrix<Scalar,Dim,Dim> ei_toRotationMatrix(const RotationBase<OtherDerived,Dim>& r)
 {
   return r.toRotationMatrix();
 }
 
 template<typename Scalar, int Dim, typename OtherDerived>
-inline static const MatrixBase<OtherDerived>& ei_toRotationMatrix(const MatrixBase<OtherDerived>& mat)
+static inline const MatrixBase<OtherDerived>& ei_toRotationMatrix(const MatrixBase<OtherDerived>& mat)
 {
   EIGEN_STATIC_ASSERT(OtherDerived::RowsAtCompileTime==Dim && OtherDerived::ColsAtCompileTime==Dim,
     YOU_MADE_A_PROGRAMMING_MISTAKE)
   return mat;
 }
+
+} // end namespace Eigen
diff --git a/extern/Eigen3/Eigen/src/Eigen2Support/Geometry/Scaling.h b/extern/Eigen3/Eigen/src/Eigen2Support/Geometry/Scaling.h
index 108e6d7d58f..8e47c78fe15 100644
--- a/extern/Eigen3/Eigen/src/Eigen2Support/Geometry/Scaling.h
+++ b/extern/Eigen3/Eigen/src/Eigen2Support/Geometry/Scaling.h
@@ -24,6 +24,7 @@
 
 // no include guard, we'll include this twice from All.h from Eigen2Support, and it's internal anyway
 
+namespace Eigen { 
 
 /** \geometry_module \ingroup Geometry_Module
   *
@@ -177,3 +178,5 @@ Scaling<Scalar,Dim>::operator* (const TransformType& t) const
   res.prescale(m_coeffs);
   return res;
 }
+
+} // end namespace Eigen
diff --git a/extern/Eigen3/Eigen/src/Eigen2Support/Geometry/Transform.h b/extern/Eigen3/Eigen/src/Eigen2Support/Geometry/Transform.h
index 88956c86c73..28dcc03b7d4 100644
--- a/extern/Eigen3/Eigen/src/Eigen2Support/Geometry/Transform.h
+++ b/extern/Eigen3/Eigen/src/Eigen2Support/Geometry/Transform.h
@@ -25,6 +25,7 @@
 
 // no include guard, we'll include this twice from All.h from Eigen2Support, and it's internal anyway
 
+namespace Eigen { 
 
 // Note that we have to pass Dim and HDim because it is not allowed to use a template
 // parameter to define a template specialization. To be more precise, in the following
@@ -796,3 +797,5 @@ struct ei_transform_product_impl<Other,Dim,HDim, Dim,1>
   { return ((tr.linear() * other) + tr.translation())
           * (Scalar(1) / ( (tr.matrix().template block<1,Dim>(Dim,0) * other).coeff(0) + tr.matrix().coeff(Dim,Dim))); }
 };
+
+} // end namespace Eigen
diff --git a/extern/Eigen3/Eigen/src/Eigen2Support/Geometry/Translation.h b/extern/Eigen3/Eigen/src/Eigen2Support/Geometry/Translation.h
index e651e310212..dd625689376 100644
--- a/extern/Eigen3/Eigen/src/Eigen2Support/Geometry/Translation.h
+++ b/extern/Eigen3/Eigen/src/Eigen2Support/Geometry/Translation.h
@@ -24,6 +24,7 @@
 
 // no include guard, we'll include this twice from All.h from Eigen2Support, and it's internal anyway
 
+namespace Eigen { 
 
 /** \geometry_module \ingroup Geometry_Module
   *
@@ -194,3 +195,5 @@ Translation<Scalar,Dim>::operator* (const TransformType& t) const
   res.pretranslate(m_coeffs);
   return res;
 }
+
+} // end namespace Eigen
diff --git a/extern/Eigen3/Eigen/src/Eigen2Support/LU.h b/extern/Eigen3/Eigen/src/Eigen2Support/LU.h
index c23c11baa72..0620096af3c 100644
--- a/extern/Eigen3/Eigen/src/Eigen2Support/LU.h
+++ b/extern/Eigen3/Eigen/src/Eigen2Support/LU.h
@@ -25,6 +25,8 @@
 #ifndef EIGEN2_LU_H
 #define EIGEN2_LU_H
 
+namespace Eigen { 
+
 template<typename MatrixType>
 class LU : public FullPivLU<MatrixType>
 {
@@ -57,7 +59,6 @@ class LU : public FullPivLU<MatrixType>
     > ImageResultType;
 
     typedef FullPivLU<MatrixType> Base;
-    LU() : Base() {}
 
     template<typename T>
     explicit LU(const T& t) : Base(t), m_originalMatrix(t) {}
@@ -129,5 +130,6 @@ MatrixBase<Derived>::eigen2_lu() const
 }
 #endif
 
+} // end namespace Eigen
 
 #endif // EIGEN2_LU_H
diff --git a/extern/Eigen3/Eigen/src/Eigen2Support/Lazy.h b/extern/Eigen3/Eigen/src/Eigen2Support/Lazy.h
index c4288ede2ef..a1fb9c753ca 100644
--- a/extern/Eigen3/Eigen/src/Eigen2Support/Lazy.h
+++ b/extern/Eigen3/Eigen/src/Eigen2Support/Lazy.h
@@ -25,6 +25,8 @@
 #ifndef EIGEN_LAZY_H
 #define EIGEN_LAZY_H
 
+namespace Eigen { 
+
 /** \deprecated it is only used by lazy() which is deprecated
   *
   * \returns an expression of *this with added flags
@@ -79,4 +81,6 @@ Derived& MatrixBase<Derived>::operator-=(const Flagged<ProductBase<ProductDerive
   other._expression().derived().subTo(derived()); return derived();
 }
 
+} // end namespace Eigen
+
 #endif // EIGEN_LAZY_H
diff --git a/extern/Eigen3/Eigen/src/Eigen2Support/LeastSquares.h b/extern/Eigen3/Eigen/src/Eigen2Support/LeastSquares.h
index 4b62ffa92c7..4271189495e 100644
--- a/extern/Eigen3/Eigen/src/Eigen2Support/LeastSquares.h
+++ b/extern/Eigen3/Eigen/src/Eigen2Support/LeastSquares.h
@@ -25,6 +25,8 @@
 #ifndef EIGEN2_LEASTSQUARES_H
 #define EIGEN2_LEASTSQUARES_H
 
+namespace Eigen { 
+
 /** \ingroup LeastSquares_Module
   *
   * \leastsquares_module
@@ -178,5 +180,6 @@ void fitHyperplane(int numPoints,
   result->offset() = - (result->normal().cwise()* mean).sum();
 }
 
+} // end namespace Eigen
 
 #endif // EIGEN2_LEASTSQUARES_H
diff --git a/extern/Eigen3/Eigen/src/Eigen2Support/MathFunctions.h b/extern/Eigen3/Eigen/src/Eigen2Support/MathFunctions.h
index caa44e63f32..2baf4bb8f82 100644
--- a/extern/Eigen3/Eigen/src/Eigen2Support/MathFunctions.h
+++ b/extern/Eigen3/Eigen/src/Eigen2Support/MathFunctions.h
@@ -25,6 +25,8 @@
 #ifndef EIGEN2_MATH_FUNCTIONS_H
 #define EIGEN2_MATH_FUNCTIONS_H
 
+namespace Eigen { 
+
 template<typename T> inline typename NumTraits<T>::Real ei_real(const T& x) { return internal::real(x); }
 template<typename T> inline typename NumTraits<T>::Real ei_imag(const T& x) { return internal::imag(x); }
 template<typename T> inline T ei_conj(const T& x) { return internal::conj(x); }
@@ -65,4 +67,6 @@ inline bool ei_isApproxOrLessThan(const Scalar& x, const Scalar& y,
   return internal::isApproxOrLessThan(x, y, precision);
 }
 
+} // end namespace Eigen
+
 #endif // EIGEN2_MATH_FUNCTIONS_H
diff --git a/extern/Eigen3/Eigen/src/Eigen2Support/Memory.h b/extern/Eigen3/Eigen/src/Eigen2Support/Memory.h
index 0283475419e..0588e2b3449 100644
--- a/extern/Eigen3/Eigen/src/Eigen2Support/Memory.h
+++ b/extern/Eigen3/Eigen/src/Eigen2Support/Memory.h
@@ -25,6 +25,8 @@
 #ifndef EIGEN2_MEMORY_H
 #define EIGEN2_MEMORY_H
 
+namespace Eigen { 
+
 inline void* ei_aligned_malloc(size_t size) { return internal::aligned_malloc(size); }
 inline void  ei_aligned_free(void *ptr) { internal::aligned_free(ptr); }
 inline void* ei_aligned_realloc(void *ptr, size_t new_size, size_t old_size) { return internal::aligned_realloc(ptr, new_size, old_size); }
@@ -53,6 +55,6 @@ template<typename T> inline void ei_aligned_delete(T *ptr, size_t size)
   return internal::aligned_delete(ptr, size);
 }
 
-
+} // end namespace Eigen
 
 #endif // EIGEN2_MACROS_H
diff --git a/extern/Eigen3/Eigen/src/Eigen2Support/Meta.h b/extern/Eigen3/Eigen/src/Eigen2Support/Meta.h
index 6e500b79a2e..70c2108222a 100644
--- a/extern/Eigen3/Eigen/src/Eigen2Support/Meta.h
+++ b/extern/Eigen3/Eigen/src/Eigen2Support/Meta.h
@@ -25,6 +25,8 @@
 #ifndef EIGEN2_META_H
 #define EIGEN2_META_H
 
+namespace Eigen { 
+
 template<typename T>
 struct ei_traits : internal::traits<T>
 {};
@@ -83,4 +85,6 @@ class ei_meta_sqrt
 template<int Y, int InfX, int SupX>
 class ei_meta_sqrt<Y, InfX, SupX, true> { public:  enum { ret = (SupX*SupX <= Y) ? SupX : InfX }; };
 
+} // end namespace Eigen
+
 #endif // EIGEN2_META_H
diff --git a/extern/Eigen3/Eigen/src/Eigen2Support/Minor.h b/extern/Eigen3/Eigen/src/Eigen2Support/Minor.h
index eda91cc32be..964e9546de1 100644
--- a/extern/Eigen3/Eigen/src/Eigen2Support/Minor.h
+++ b/extern/Eigen3/Eigen/src/Eigen2Support/Minor.h
@@ -25,6 +25,8 @@
 #ifndef EIGEN_MINOR_H
 #define EIGEN_MINOR_H
 
+namespace Eigen { 
+
 /**
   * \class Minor
   *
@@ -125,4 +127,6 @@ MatrixBase<Derived>::minor(Index row, Index col) const
   return Minor<Derived>(derived(), row, col);
 }
 
+} // end namespace Eigen
+
 #endif // EIGEN_MINOR_H
diff --git a/extern/Eigen3/Eigen/src/Eigen2Support/QR.h b/extern/Eigen3/Eigen/src/Eigen2Support/QR.h
index 64f5d5ccb30..60fc21f56b9 100644
--- a/extern/Eigen3/Eigen/src/Eigen2Support/QR.h
+++ b/extern/Eigen3/Eigen/src/Eigen2Support/QR.h
@@ -26,6 +26,8 @@
 #ifndef EIGEN2_QR_H
 #define EIGEN2_QR_H
 
+namespace Eigen { 
+
 template<typename MatrixType>
 class QR : public HouseholderQR<MatrixType>
 {
@@ -75,5 +77,6 @@ MatrixBase<Derived>::qr() const
   return QR<PlainObject>(eval());
 }
 
+} // end namespace Eigen
 
 #endif // EIGEN2_QR_H
diff --git a/extern/Eigen3/Eigen/src/Eigen2Support/SVD.h b/extern/Eigen3/Eigen/src/Eigen2Support/SVD.h
index 16b4b488f0c..ff3b8a416df 100644
--- a/extern/Eigen3/Eigen/src/Eigen2Support/SVD.h
+++ b/extern/Eigen3/Eigen/src/Eigen2Support/SVD.h
@@ -25,6 +25,8 @@
 #ifndef EIGEN2_SVD_H
 #define EIGEN2_SVD_H
 
+namespace Eigen {
+
 /** \ingroup SVD_Module
   * \nonstableyet
   *
@@ -390,7 +392,7 @@ void SVD<MatrixType>::compute(const MatrixType& matrix)
         Scalar ek = e[k]/scale;
         Scalar b = ((spm1 + sp)*(spm1 - sp) + epm1*epm1)/Scalar(2);
         Scalar c = (sp*epm1)*(sp*epm1);
-        Scalar shift = 0.0;
+        Scalar shift(0);
         if ((b != 0.0) || (c != 0.0))
         {
           shift = ei_sqrt(b*b + c);
@@ -646,4 +648,6 @@ MatrixBase<Derived>::svd() const
   return SVD<PlainObject>(derived());
 }
 
+} // end namespace Eigen
+
 #endif // EIGEN2_SVD_H
diff --git a/extern/Eigen3/Eigen/src/Eigen2Support/TriangularSolver.h b/extern/Eigen3/Eigen/src/Eigen2Support/TriangularSolver.h
index e94e47a5093..e3374d8c094 100644
--- a/extern/Eigen3/Eigen/src/Eigen2Support/TriangularSolver.h
+++ b/extern/Eigen3/Eigen/src/Eigen2Support/TriangularSolver.h
@@ -25,6 +25,8 @@
 #ifndef EIGEN_TRIANGULAR_SOLVER2_H
 #define EIGEN_TRIANGULAR_SOLVER2_H
 
+namespace Eigen { 
+
 const unsigned int UnitDiagBit = UnitDiag;
 const unsigned int SelfAdjointBit = SelfAdjoint;
 const unsigned int UpperTriangularBit = Upper;
@@ -49,5 +51,7 @@ void Flagged<ExpressionType,Added,Removed>::solveTriangularInPlace(const MatrixB
 {
   m_matrix.template triangularView<Added>().solveInPlace(other.derived());
 }
+
+} // end namespace Eigen
     
 #endif // EIGEN_TRIANGULAR_SOLVER2_H
diff --git a/extern/Eigen3/Eigen/src/Eigen2Support/VectorBlock.h b/extern/Eigen3/Eigen/src/Eigen2Support/VectorBlock.h
index 010031d1971..8967c90195f 100644
--- a/extern/Eigen3/Eigen/src/Eigen2Support/VectorBlock.h
+++ b/extern/Eigen3/Eigen/src/Eigen2Support/VectorBlock.h
@@ -26,6 +26,8 @@
 #ifndef EIGEN2_VECTORBLOCK_H
 #define EIGEN2_VECTORBLOCK_H
 
+namespace Eigen { 
+
 /** \deprecated use DenseMase::head(Index) */
 template<typename Derived>
 inline VectorBlock<Derived>
@@ -102,4 +104,6 @@ MatrixBase<Derived>::end() const
   return VectorBlock<const Derived, Size>(derived(), size() - Size);
 }
 
+} // end namespace Eigen
+
 #endif // EIGEN2_VECTORBLOCK_H
diff --git a/extern/Eigen3/Eigen/src/Eigenvalues/ComplexEigenSolver.h b/extern/Eigen3/Eigen/src/Eigenvalues/ComplexEigenSolver.h
index 57e00227d72..91b4fa1e208 100644
--- a/extern/Eigen3/Eigen/src/Eigenvalues/ComplexEigenSolver.h
+++ b/extern/Eigen3/Eigen/src/Eigenvalues/ComplexEigenSolver.h
@@ -27,9 +27,10 @@
 #ifndef EIGEN_COMPLEX_EIGEN_SOLVER_H
 #define EIGEN_COMPLEX_EIGEN_SOLVER_H
 
-#include "./EigenvaluesCommon.h"
 #include "./ComplexSchur.h"
 
+namespace Eigen { 
+
 /** \eigenvalues_module \ingroup Eigenvalues_Module
   *
   *
@@ -328,5 +329,6 @@ void ComplexEigenSolver<MatrixType>::sortEigenvalues(bool computeEigenvectors)
   }
 }
 
+} // end namespace Eigen
 
 #endif // EIGEN_COMPLEX_EIGEN_SOLVER_H
diff --git a/extern/Eigen3/Eigen/src/Eigenvalues/ComplexSchur.h b/extern/Eigen3/Eigen/src/Eigenvalues/ComplexSchur.h
index ec93af2e58a..1a49cca13d2 100644
--- a/extern/Eigen3/Eigen/src/Eigenvalues/ComplexSchur.h
+++ b/extern/Eigen3/Eigen/src/Eigenvalues/ComplexSchur.h
@@ -27,9 +27,10 @@
 #ifndef EIGEN_COMPLEX_SCHUR_H
 #define EIGEN_COMPLEX_SCHUR_H
 
-#include "./EigenvaluesCommon.h"
 #include "./HessenbergDecomposition.h"
 
+namespace Eigen { 
+
 namespace internal {
 template<typename MatrixType, bool IsComplex> struct complex_schur_reduce_to_hessenberg;
 }
@@ -227,46 +228,6 @@ template<typename _MatrixType> class ComplexSchur
     friend struct internal::complex_schur_reduce_to_hessenberg<MatrixType, NumTraits<Scalar>::IsComplex>;
 };
 
-namespace internal {
-
-/** Computes the principal value of the square root of the complex \a z. */
-template<typename RealScalar>
-std::complex<RealScalar> sqrt(const std::complex<RealScalar> &z)
-{
-  RealScalar t, tre, tim;
-
-  t = abs(z);
-
-  if (abs(real(z)) <= abs(imag(z)))
-  {
-    // No cancellation in these formulas
-    tre = sqrt(RealScalar(0.5)*(t + real(z)));
-    tim = sqrt(RealScalar(0.5)*(t - real(z)));
-  }
-  else
-  {
-    // Stable computation of the above formulas
-    if (z.real() > RealScalar(0))
-    {
-      tre = t + z.real();
-      tim = abs(imag(z))*sqrt(RealScalar(0.5)/tre);
-      tre = sqrt(RealScalar(0.5)*tre);
-    }
-    else
-    {
-      tim = t - z.real();
-      tre = abs(imag(z))*sqrt(RealScalar(0.5)/tim);
-      tim = sqrt(RealScalar(0.5)*tim);
-    }
-  }
-  if(z.imag() < RealScalar(0))
-    tim = -tim;
-
-  return (std::complex<RealScalar>(tre,tim));
-}
-} // end namespace internal
-
-
 /** If m_matT(i+1,i) is neglegible in floating point arithmetic
   * compared to m_matT(i,i) and m_matT(j,j), then set it to zero and
   * return true, else return false. */
@@ -302,7 +263,7 @@ typename ComplexSchur<MatrixType>::ComplexScalar ComplexSchur<MatrixType>::compu
 
   ComplexScalar b = t.coeff(0,1) * t.coeff(1,0);
   ComplexScalar c = t.coeff(0,0) - t.coeff(1,1);
-  ComplexScalar disc = internal::sqrt(c*c + RealScalar(4)*b);
+  ComplexScalar disc = sqrt(c*c + RealScalar(4)*b);
   ComplexScalar det = t.coeff(0,0) * t.coeff(1,1) - b;
   ComplexScalar trace = t.coeff(0,0) + t.coeff(1,1);
   ComplexScalar eival1 = (trace + disc) / RealScalar(2);
@@ -445,4 +406,6 @@ void ComplexSchur<MatrixType>::reduceToTriangularForm(bool computeU)
   m_matUisUptodate = computeU;
 }
 
+} // end namespace Eigen
+
 #endif // EIGEN_COMPLEX_SCHUR_H
diff --git a/extern/Eigen3/Eigen/src/Eigenvalues/EigenSolver.h b/extern/Eigen3/Eigen/src/Eigenvalues/EigenSolver.h
index f57353c065f..f9365ae5945 100644
--- a/extern/Eigen3/Eigen/src/Eigenvalues/EigenSolver.h
+++ b/extern/Eigen3/Eigen/src/Eigenvalues/EigenSolver.h
@@ -26,9 +26,10 @@
 #ifndef EIGEN_EIGENSOLVER_H
 #define EIGEN_EIGENSOLVER_H
 
-#include "./EigenvaluesCommon.h"
 #include "./RealSchur.h"
 
+namespace Eigen { 
+
 /** \eigenvalues_module \ingroup Eigenvalues_Module
   *
   *
@@ -432,7 +433,7 @@ void EigenSolver<MatrixType>::doComputeEigenvectors()
   const Scalar eps = NumTraits<Scalar>::epsilon();
 
   // inefficient! this is already computed in RealSchur
-  Scalar norm = 0.0;
+  Scalar norm(0);
   for (Index j = 0; j < size; ++j)
   {
     norm += m_matT.row(j).segment((std::max)(j-1,Index(0)), size-(std::max)(j-1,Index(0))).cwiseAbs().sum();
@@ -452,7 +453,7 @@ void EigenSolver<MatrixType>::doComputeEigenvectors()
     // Scalar vector
     if (q == Scalar(0))
     {
-      Scalar lastr=0, lastw=0;
+      Scalar lastr(0), lastw(0);
       Index l = n;
 
       m_matT.coeffRef(n,n) = 1.0;
@@ -498,7 +499,7 @@ void EigenSolver<MatrixType>::doComputeEigenvectors()
     }
     else if (q < Scalar(0) && n > 0) // Complex vector
     {
-      Scalar lastra=0, lastsa=0, lastw=0;
+      Scalar lastra(0), lastsa(0), lastw(0);
       Index l = n-1;
 
       // Last vector component imaginary so matrix is triangular
@@ -588,4 +589,6 @@ void EigenSolver<MatrixType>::doComputeEigenvectors()
   }
 }
 
+} // end namespace Eigen
+
 #endif // EIGEN_EIGENSOLVER_H
diff --git a/extern/Eigen3/Eigen/src/Eigenvalues/GeneralizedSelfAdjointEigenSolver.h b/extern/Eigen3/Eigen/src/Eigenvalues/GeneralizedSelfAdjointEigenSolver.h
index 980af14ce71..4eb2b229d3b 100644
--- a/extern/Eigen3/Eigen/src/Eigenvalues/GeneralizedSelfAdjointEigenSolver.h
+++ b/extern/Eigen3/Eigen/src/Eigenvalues/GeneralizedSelfAdjointEigenSolver.h
@@ -26,9 +26,10 @@
 #ifndef EIGEN_GENERALIZEDSELFADJOINTEIGENSOLVER_H
 #define EIGEN_GENERALIZEDSELFADJOINTEIGENSOLVER_H
 
-#include "./EigenvaluesCommon.h"
 #include "./Tridiagonalization.h"
 
+namespace Eigen { 
+
 /** \eigenvalues_module \ingroup Eigenvalues_Module
   *
   *
@@ -236,4 +237,6 @@ compute(const MatrixType& matA, const MatrixType& matB, int options)
   return *this;
 }
 
+} // end namespace Eigen
+
 #endif // EIGEN_GENERALIZEDSELFADJOINTEIGENSOLVER_H
diff --git a/extern/Eigen3/Eigen/src/Eigenvalues/HessenbergDecomposition.h b/extern/Eigen3/Eigen/src/Eigenvalues/HessenbergDecomposition.h
index c17f155a59b..88e63eba415 100644
--- a/extern/Eigen3/Eigen/src/Eigenvalues/HessenbergDecomposition.h
+++ b/extern/Eigen3/Eigen/src/Eigenvalues/HessenbergDecomposition.h
@@ -26,6 +26,8 @@
 #ifndef EIGEN_HESSENBERGDECOMPOSITION_H
 #define EIGEN_HESSENBERGDECOMPOSITION_H
 
+namespace Eigen { 
+
 namespace internal {
   
 template<typename MatrixType> struct HessenbergDecompositionMatrixHReturnType;
@@ -379,6 +381,8 @@ template<typename MatrixType> struct HessenbergDecompositionMatrixHReturnType
     const HessenbergDecomposition<MatrixType>& m_hess;
 };
 
-}
+} // end namespace internal
+
+} // end namespace Eigen
 
 #endif // EIGEN_HESSENBERGDECOMPOSITION_H
diff --git a/extern/Eigen3/Eigen/src/Eigenvalues/MatrixBaseEigenvalues.h b/extern/Eigen3/Eigen/src/Eigenvalues/MatrixBaseEigenvalues.h
index 5591519fb75..a004e7e6325 100644
--- a/extern/Eigen3/Eigen/src/Eigenvalues/MatrixBaseEigenvalues.h
+++ b/extern/Eigen3/Eigen/src/Eigenvalues/MatrixBaseEigenvalues.h
@@ -26,6 +26,8 @@
 #ifndef EIGEN_MATRIXBASEEIGENVALUES_H
 #define EIGEN_MATRIXBASEEIGENVALUES_H
 
+namespace Eigen { 
+
 namespace internal {
 
 template<typename Derived, bool IsComplex>
@@ -167,4 +169,6 @@ SelfAdjointView<MatrixType, UpLo>::operatorNorm() const
   return eigenvalues().cwiseAbs().maxCoeff();
 }
 
+} // end namespace Eigen
+
 #endif
diff --git a/extern/Eigen3/Eigen/src/Eigenvalues/RealSchur.h b/extern/Eigen3/Eigen/src/Eigenvalues/RealSchur.h
index cc9af11c117..fcee1af9907 100644
--- a/extern/Eigen3/Eigen/src/Eigenvalues/RealSchur.h
+++ b/extern/Eigen3/Eigen/src/Eigenvalues/RealSchur.h
@@ -26,9 +26,10 @@
 #ifndef EIGEN_REAL_SCHUR_H
 #define EIGEN_REAL_SCHUR_H
 
-#include "./EigenvaluesCommon.h"
 #include "./HessenbergDecomposition.h"
 
+namespace Eigen { 
+
 /** \eigenvalues_module \ingroup Eigenvalues_Module
   *
   *
@@ -235,7 +236,7 @@ RealSchur<MatrixType>& RealSchur<MatrixType>::compute(const MatrixType& matrix,
   // Rows iu+1,...,end are already brought in triangular form.
   Index iu = m_matT.cols() - 1;
   Index iter = 0; // iteration count
-  Scalar exshift = 0.0; // sum of exceptional shifts
+  Scalar exshift(0); // sum of exceptional shifts
   Scalar norm = computeNormOfT();
 
   while (iu >= 0)
@@ -288,7 +289,7 @@ inline typename MatrixType::Scalar RealSchur<MatrixType>::computeNormOfT()
   // FIXME to be efficient the following would requires a triangular reduxion code
   // Scalar norm = m_matT.upper().cwiseAbs().sum() 
   //               + m_matT.bottomLeftCorner(size-1,size-1).diagonal().cwiseAbs().sum();
-  Scalar norm = 0.0;
+  Scalar norm(0);
   for (Index j = 0; j < size; ++j)
     norm += m_matT.row(j).segment((std::max)(j-1,Index(0)), size-(std::max)(j-1,Index(0))).cwiseAbs().sum();
   return norm;
@@ -471,4 +472,6 @@ inline void RealSchur<MatrixType>::performFrancisQRStep(Index il, Index im, Inde
   }
 }
 
+} // end namespace Eigen
+
 #endif // EIGEN_REAL_SCHUR_H
diff --git a/extern/Eigen3/Eigen/src/Eigenvalues/SelfAdjointEigenSolver.h b/extern/Eigen3/Eigen/src/Eigenvalues/SelfAdjointEigenSolver.h
index ad107c63282..b4aa1ef208e 100644
--- a/extern/Eigen3/Eigen/src/Eigenvalues/SelfAdjointEigenSolver.h
+++ b/extern/Eigen3/Eigen/src/Eigenvalues/SelfAdjointEigenSolver.h
@@ -26,12 +26,17 @@
 #ifndef EIGEN_SELFADJOINTEIGENSOLVER_H
 #define EIGEN_SELFADJOINTEIGENSOLVER_H
 
-#include "./EigenvaluesCommon.h"
 #include "./Tridiagonalization.h"
 
+namespace Eigen { 
+
 template<typename _MatrixType>
 class GeneralizedSelfAdjointEigenSolver;
 
+namespace internal {
+template<typename SolverType,int Size,bool IsComplex> struct direct_selfadjoint_eigenvalues;
+}
+
 /** \eigenvalues_module \ingroup Eigenvalues_Module
   *
   *
@@ -86,7 +91,7 @@ template<typename _MatrixType> class SelfAdjointEigenSolver
       Options = MatrixType::Options,
       MaxColsAtCompileTime = MatrixType::MaxColsAtCompileTime
     };
-
+    
     /** \brief Scalar type for matrices of type \p _MatrixType. */
     typedef typename MatrixType::Scalar Scalar;
     typedef typename MatrixType::Index Index;
@@ -98,6 +103,8 @@ template<typename _MatrixType> class SelfAdjointEigenSolver
       * complex.
       */
     typedef typename NumTraits<Scalar>::Real RealScalar;
+    
+    friend struct internal::direct_selfadjoint_eigenvalues<SelfAdjointEigenSolver,Size,NumTraits<Scalar>::IsComplex>;
 
     /** \brief Type for vector of eigenvalues as returned by eigenvalues().
       *
@@ -198,6 +205,22 @@ template<typename _MatrixType> class SelfAdjointEigenSolver
       * \sa SelfAdjointEigenSolver(const MatrixType&, int)
       */
     SelfAdjointEigenSolver& compute(const MatrixType& matrix, int options = ComputeEigenvectors);
+    
+    /** \brief Computes eigendecomposition of given matrix using a direct algorithm
+      *
+      * This is a variant of compute(const MatrixType&, int options) which
+      * directly solves the underlying polynomial equation.
+      * 
+      * Currently only 3x3 matrices for which the sizes are known at compile time are supported (e.g., Matrix3d).
+      * 
+      * This method is usually significantly faster than the QR algorithm
+      * but it might also be less accurate. It is also worth noting that
+      * for 3x3 matrices it involves trigonometric operations which are
+      * not necessarily available for all scalar types.
+      *
+      * \sa compute(const MatrixType&, int options)
+      */
+    SelfAdjointEigenSolver& computeDirect(const MatrixType& matrix, int options = ComputeEigenvectors);
 
     /** \brief Returns the eigenvectors of given matrix.
       *
@@ -401,7 +424,7 @@ SelfAdjointEigenSolver<MatrixType>& SelfAdjointEigenSolver<MatrixType>
 
   // map the matrix coefficients to [-1:1] to avoid over- and underflow.
   RealScalar scale = matrix.cwiseAbs().maxCoeff();
-  if(scale==Scalar(0)) scale = 1;
+  if(scale==RealScalar(0)) scale = RealScalar(1);
   mat = matrix / scale;
   m_subdiag.resize(n-1);
   internal::tridiagonalization_inplace(mat, diag, m_subdiag, computeEigenvectors);
@@ -466,6 +489,264 @@ SelfAdjointEigenSolver<MatrixType>& SelfAdjointEigenSolver<MatrixType>
   return *this;
 }
 
+
+namespace internal {
+  
+template<typename SolverType,int Size,bool IsComplex> struct direct_selfadjoint_eigenvalues
+{
+  static inline void run(SolverType& eig, const typename SolverType::MatrixType& A, int options)
+  { eig.compute(A,options); }
+};
+
+template<typename SolverType> struct direct_selfadjoint_eigenvalues<SolverType,3,false>
+{
+  typedef typename SolverType::MatrixType MatrixType;
+  typedef typename SolverType::RealVectorType VectorType;
+  typedef typename SolverType::Scalar Scalar;
+  
+  static inline void computeRoots(const MatrixType& m, VectorType& roots)
+  {
+    using std::sqrt;
+    using std::atan2;
+    using std::cos;
+    using std::sin;
+    const Scalar s_inv3 = Scalar(1.0)/Scalar(3.0);
+    const Scalar s_sqrt3 = sqrt(Scalar(3.0));
+
+    // The characteristic equation is x^3 - c2*x^2 + c1*x - c0 = 0.  The
+    // eigenvalues are the roots to this equation, all guaranteed to be
+    // real-valued, because the matrix is symmetric.
+    Scalar c0 = m(0,0)*m(1,1)*m(2,2) + Scalar(2)*m(1,0)*m(2,0)*m(2,1) - m(0,0)*m(2,1)*m(2,1) - m(1,1)*m(2,0)*m(2,0) - m(2,2)*m(1,0)*m(1,0);
+    Scalar c1 = m(0,0)*m(1,1) - m(1,0)*m(1,0) + m(0,0)*m(2,2) - m(2,0)*m(2,0) + m(1,1)*m(2,2) - m(2,1)*m(2,1);
+    Scalar c2 = m(0,0) + m(1,1) + m(2,2);
+
+    // Construct the parameters used in classifying the roots of the equation
+    // and in solving the equation for the roots in closed form.
+    Scalar c2_over_3 = c2*s_inv3;
+    Scalar a_over_3 = (c1 - c2*c2_over_3)*s_inv3;
+    if (a_over_3 > Scalar(0))
+      a_over_3 = Scalar(0);
+
+    Scalar half_b = Scalar(0.5)*(c0 + c2_over_3*(Scalar(2)*c2_over_3*c2_over_3 - c1));
+
+    Scalar q = half_b*half_b + a_over_3*a_over_3*a_over_3;
+    if (q > Scalar(0))
+      q = Scalar(0);
+
+    // Compute the eigenvalues by solving for the roots of the polynomial.
+    Scalar rho = sqrt(-a_over_3);
+    Scalar theta = atan2(sqrt(-q),half_b)*s_inv3;
+    Scalar cos_theta = cos(theta);
+    Scalar sin_theta = sin(theta);
+    roots(0) = c2_over_3 + Scalar(2)*rho*cos_theta;
+    roots(1) = c2_over_3 - rho*(cos_theta + s_sqrt3*sin_theta);
+    roots(2) = c2_over_3 - rho*(cos_theta - s_sqrt3*sin_theta);
+
+    // Sort in increasing order.
+    if (roots(0) >= roots(1))
+      std::swap(roots(0),roots(1));
+    if (roots(1) >= roots(2))
+    {
+      std::swap(roots(1),roots(2));
+      if (roots(0) >= roots(1))
+        std::swap(roots(0),roots(1));
+    }
+  }
+  
+  static inline void run(SolverType& solver, const MatrixType& mat, int options)
+  {
+    using std::sqrt;
+    eigen_assert(mat.cols() == 3 && mat.cols() == mat.rows());
+    eigen_assert((options&~(EigVecMask|GenEigMask))==0
+            && (options&EigVecMask)!=EigVecMask
+            && "invalid option parameter");
+    bool computeEigenvectors = (options&ComputeEigenvectors)==ComputeEigenvectors;
+    
+    MatrixType& eivecs = solver.m_eivec;
+    VectorType& eivals = solver.m_eivalues;
+  
+    // map the matrix coefficients to [-1:1] to avoid over- and underflow.
+    Scalar scale = mat.cwiseAbs().maxCoeff();
+    MatrixType scaledMat = mat / scale;
+
+    // compute the eigenvalues
+    computeRoots(scaledMat,eivals);
+
+    // compute the eigen vectors
+    if(computeEigenvectors)
+    {
+      Scalar safeNorm2 = Eigen::NumTraits<Scalar>::epsilon();
+      safeNorm2 *= safeNorm2;
+      if((eivals(2)-eivals(0))<=Eigen::NumTraits<Scalar>::epsilon())
+      {
+        eivecs.setIdentity();
+      }
+      else
+      {
+        scaledMat = scaledMat.template selfadjointView<Lower>();
+        MatrixType tmp;
+        tmp = scaledMat;
+
+        Scalar d0 = eivals(2) - eivals(1);
+        Scalar d1 = eivals(1) - eivals(0);
+        int k =  d0 > d1 ? 2 : 0;
+        d0 = d0 > d1 ? d1 : d0;
+
+        tmp.diagonal().array () -= eivals(k);
+        VectorType cross;
+        Scalar n;
+        n = (cross = tmp.row(0).cross(tmp.row(1))).squaredNorm();
+
+        if(n>safeNorm2)
+          eivecs.col(k) = cross / sqrt(n);
+        else
+        {
+          n = (cross = tmp.row(0).cross(tmp.row(2))).squaredNorm();
+
+          if(n>safeNorm2)
+            eivecs.col(k) = cross / sqrt(n);
+          else
+          {
+            n = (cross = tmp.row(1).cross(tmp.row(2))).squaredNorm();
+
+            if(n>safeNorm2)
+              eivecs.col(k) = cross / sqrt(n);
+            else
+            {
+              // the input matrix and/or the eigenvaues probably contains some inf/NaN,
+              // => exit
+              // scale back to the original size.
+              eivals *= scale;
+
+              solver.m_info = NumericalIssue;
+              solver.m_isInitialized = true;
+              solver.m_eigenvectorsOk = computeEigenvectors;
+              return;
+            }
+          }
+        }
+
+        tmp = scaledMat;
+        tmp.diagonal().array() -= eivals(1);
+
+        if(d0<=Eigen::NumTraits<Scalar>::epsilon())
+          eivecs.col(1) = eivecs.col(k).unitOrthogonal();
+        else
+        {
+          n = (cross = eivecs.col(k).cross(tmp.row(0).normalized())).squaredNorm();
+          if(n>safeNorm2)
+            eivecs.col(1) = cross / sqrt(n);
+          else
+          {
+            n = (cross = eivecs.col(k).cross(tmp.row(1))).squaredNorm();
+            if(n>safeNorm2)
+              eivecs.col(1) = cross / sqrt(n);
+            else
+            {
+              n = (cross = eivecs.col(k).cross(tmp.row(2))).squaredNorm();
+              if(n>safeNorm2)
+                eivecs.col(1) = cross / sqrt(n);
+              else
+              {
+                // we should never reach this point,
+                // if so the last two eigenvalues are likely to ve very closed to each other
+                eivecs.col(1) = eivecs.col(k).unitOrthogonal();
+              }
+            }
+          }
+
+          // make sure that eivecs[1] is orthogonal to eivecs[2]
+          Scalar d = eivecs.col(1).dot(eivecs.col(k));
+          eivecs.col(1) = (eivecs.col(1) - d * eivecs.col(k)).normalized();
+        }
+
+        eivecs.col(k==2 ? 0 : 2) = eivecs.col(k).cross(eivecs.col(1)).normalized();
+      }
+    }
+    // Rescale back to the original size.
+    eivals *= scale;
+    
+    solver.m_info = Success;
+    solver.m_isInitialized = true;
+    solver.m_eigenvectorsOk = computeEigenvectors;
+  }
+};
+
+// 2x2 direct eigenvalues decomposition, code from Hauke Heibel
+template<typename SolverType> struct direct_selfadjoint_eigenvalues<SolverType,2,false>
+{
+  typedef typename SolverType::MatrixType MatrixType;
+  typedef typename SolverType::RealVectorType VectorType;
+  typedef typename SolverType::Scalar Scalar;
+  
+  static inline void computeRoots(const MatrixType& m, VectorType& roots)
+  {
+    using std::sqrt;
+    const Scalar t0 = Scalar(0.5) * sqrt( abs2(m(0,0)-m(1,1)) + Scalar(4)*m(1,0)*m(1,0));
+    const Scalar t1 = Scalar(0.5) * (m(0,0) + m(1,1));
+    roots(0) = t1 - t0;
+    roots(1) = t1 + t0;
+  }
+  
+  static inline void run(SolverType& solver, const MatrixType& mat, int options)
+  {
+    eigen_assert(mat.cols() == 2 && mat.cols() == mat.rows());
+    eigen_assert((options&~(EigVecMask|GenEigMask))==0
+            && (options&EigVecMask)!=EigVecMask
+            && "invalid option parameter");
+    bool computeEigenvectors = (options&ComputeEigenvectors)==ComputeEigenvectors;
+    
+    MatrixType& eivecs = solver.m_eivec;
+    VectorType& eivals = solver.m_eivalues;
+  
+    // map the matrix coefficients to [-1:1] to avoid over- and underflow.
+    Scalar scale = mat.cwiseAbs().maxCoeff();
+    scale = (std::max)(scale,Scalar(1));
+    MatrixType scaledMat = mat / scale;
+    
+    // Compute the eigenvalues
+    computeRoots(scaledMat,eivals);
+    
+    // compute the eigen vectors
+    if(computeEigenvectors)
+    {
+      scaledMat.diagonal().array () -= eivals(1);
+      Scalar a2 = abs2(scaledMat(0,0));
+      Scalar c2 = abs2(scaledMat(1,1));
+      Scalar b2 = abs2(scaledMat(1,0));
+      if(a2>c2)
+      {
+        eivecs.col(1) << -scaledMat(1,0), scaledMat(0,0);
+        eivecs.col(1) /= sqrt(a2+b2);
+      }
+      else
+      {
+        eivecs.col(1) << -scaledMat(1,1), scaledMat(1,0);
+        eivecs.col(1) /= sqrt(c2+b2);
+      }
+
+      eivecs.col(0) << eivecs.col(1).unitOrthogonal();
+    }
+    
+    // Rescale back to the original size.
+    eivals *= scale;
+    
+    solver.m_info = Success;
+    solver.m_isInitialized = true;
+    solver.m_eigenvectorsOk = computeEigenvectors;
+  }
+};
+
+}
+
+template<typename MatrixType>
+SelfAdjointEigenSolver<MatrixType>& SelfAdjointEigenSolver<MatrixType>
+::computeDirect(const MatrixType& matrix, int options)
+{
+  internal::direct_selfadjoint_eigenvalues<SelfAdjointEigenSolver,Size,NumTraits<Scalar>::IsComplex>::run(*this,matrix,options);
+  return *this;
+}
+
 namespace internal {
 template<int StorageOrder,typename RealScalar, typename Scalar, typename Index>
 static void tridiagonal_qr_step(RealScalar* diag, RealScalar* subdiag, Index start, Index end, Scalar* matrixQ, Index n)
@@ -515,6 +796,9 @@ static void tridiagonal_qr_step(RealScalar* diag, RealScalar* subdiag, Index sta
     }
   }
 }
+
 } // end namespace internal
 
+} // end namespace Eigen
+
 #endif // EIGEN_SELFADJOINTEIGENSOLVER_H
diff --git a/extern/Eigen3/Eigen/src/Eigenvalues/Tridiagonalization.h b/extern/Eigen3/Eigen/src/Eigenvalues/Tridiagonalization.h
index ae4cdce7aeb..e8f0ac5d1eb 100644
--- a/extern/Eigen3/Eigen/src/Eigenvalues/Tridiagonalization.h
+++ b/extern/Eigen3/Eigen/src/Eigenvalues/Tridiagonalization.h
@@ -26,6 +26,8 @@
 #ifndef EIGEN_TRIDIAGONALIZATION_H
 #define EIGEN_TRIDIAGONALIZATION_H
 
+namespace Eigen { 
+
 namespace internal {
   
 template<typename MatrixType> struct TridiagonalizationMatrixTReturnType;
@@ -97,13 +99,13 @@ template<typename _MatrixType> class Tridiagonalization
     typedef internal::TridiagonalizationMatrixTReturnType<MatrixTypeRealView> MatrixTReturnType;
 
     typedef typename internal::conditional<NumTraits<Scalar>::IsComplex,
-              const typename Diagonal<const MatrixType>::RealReturnType,
+              typename internal::add_const_on_value_type<typename Diagonal<const MatrixType>::RealReturnType>::type,
               const Diagonal<const MatrixType>
             >::type DiagonalReturnType;
 
     typedef typename internal::conditional<NumTraits<Scalar>::IsComplex,
-              const typename Diagonal<
-                Block<const MatrixType,SizeMinusOne,SizeMinusOne> >::RealReturnType,
+              typename internal::add_const_on_value_type<typename Diagonal<
+                Block<const MatrixType,SizeMinusOne,SizeMinusOne> >::RealReturnType>::type,
               const Diagonal<
                 Block<const MatrixType,SizeMinusOne,SizeMinusOne> >
             >::type SubDiagonalReturnType;
@@ -560,9 +562,11 @@ template<typename MatrixType> struct TridiagonalizationMatrixTReturnType
     Index cols() const { return m_matrix.cols(); }
 
   protected:
-    const typename MatrixType::Nested m_matrix;
+    typename MatrixType::Nested m_matrix;
 };
 
 } // end namespace internal
 
+} // end namespace Eigen
+
 #endif // EIGEN_TRIDIAGONALIZATION_H
diff --git a/extern/Eigen3/Eigen/src/Geometry/AlignedBox.h b/extern/Eigen3/Eigen/src/Geometry/AlignedBox.h
index b51deb3f3c3..2cb894330ff 100644
--- a/extern/Eigen3/Eigen/src/Geometry/AlignedBox.h
+++ b/extern/Eigen3/Eigen/src/Geometry/AlignedBox.h
@@ -25,6 +25,8 @@
 #ifndef EIGEN_ALIGNEDBOX_H
 #define EIGEN_ALIGNEDBOX_H
 
+namespace Eigen { 
+
 /** \geometry_module \ingroup Geometry_Module
   *
   *
@@ -190,7 +192,7 @@ EIGEN_MAKE_ALIGNED_OPERATOR_NEW_IF_VECTORIZABLE_FIXED_SIZE(_Scalar,_AmbientDim)
   template<typename Derived>
   inline bool contains(const MatrixBase<Derived>& a_p) const
   {
-    const typename internal::nested<Derived,2>::type p(a_p.derived());
+    typename internal::nested<Derived,2>::type p(a_p.derived());
     return (m_min.array()<=p.array()).all() && (p.array()<=m_max.array()).all();
   }
 
@@ -202,7 +204,7 @@ EIGEN_MAKE_ALIGNED_OPERATOR_NEW_IF_VECTORIZABLE_FIXED_SIZE(_Scalar,_AmbientDim)
   template<typename Derived>
   inline AlignedBox& extend(const MatrixBase<Derived>& a_p)
   {
-    const typename internal::nested<Derived,2>::type p(a_p.derived());
+    typename internal::nested<Derived,2>::type p(a_p.derived());
     m_min = m_min.cwiseMin(p);
     m_max = m_max.cwiseMax(p);
     return *this;
@@ -310,7 +312,7 @@ template<typename Derived>
 inline Scalar AlignedBox<Scalar,AmbientDim>::squaredExteriorDistance(const MatrixBase<Derived>& a_p) const
 {
   const typename internal::nested<Derived,2*AmbientDim>::type p(a_p.derived());
-  Scalar dist2 = 0.;
+  Scalar dist2(0);
   Scalar aux;
   for (Index k=0; k<dim(); ++k)
   {
@@ -331,7 +333,7 @@ inline Scalar AlignedBox<Scalar,AmbientDim>::squaredExteriorDistance(const Matri
 template<typename Scalar,int AmbientDim>
 inline Scalar AlignedBox<Scalar,AmbientDim>::squaredExteriorDistance(const AlignedBox& b) const
 {
-  Scalar dist2 = 0.;
+  Scalar dist2(0);
   Scalar aux;
   for (Index k=0; k<dim(); ++k)
   {
@@ -349,4 +351,40 @@ inline Scalar AlignedBox<Scalar,AmbientDim>::squaredExteriorDistance(const Align
   return dist2;
 }
 
+/** \defgroup alignedboxtypedefs Global aligned box typedefs
+  *
+  * \ingroup Geometry_Module
+  *
+  * Eigen defines several typedef shortcuts for most common aligned box types.
+  *
+  * The general patterns are the following:
+  *
+  * \c AlignedBoxSizeType where \c Size can be \c 1, \c 2,\c 3,\c 4 for fixed size boxes or \c X for dynamic size,
+  * and where \c Type can be \c i for integer, \c f for float, \c d for double.
+  *
+  * For example, \c AlignedBox3d is a fixed-size 3x3 aligned box type of doubles, and \c AlignedBoxXf is a dynamic-size aligned box of floats.
+  *
+  * \sa class AlignedBox
+  */
+
+#define EIGEN_MAKE_TYPEDEFS(Type, TypeSuffix, Size, SizeSuffix)    \
+/** \ingroup alignedboxtypedefs */                                 \
+typedef AlignedBox<Type, Size>   AlignedBox##SizeSuffix##TypeSuffix;
+
+#define EIGEN_MAKE_TYPEDEFS_ALL_SIZES(Type, TypeSuffix) \
+EIGEN_MAKE_TYPEDEFS(Type, TypeSuffix, 1, 1) \
+EIGEN_MAKE_TYPEDEFS(Type, TypeSuffix, 2, 2) \
+EIGEN_MAKE_TYPEDEFS(Type, TypeSuffix, 3, 3) \
+EIGEN_MAKE_TYPEDEFS(Type, TypeSuffix, 4, 4) \
+EIGEN_MAKE_TYPEDEFS(Type, TypeSuffix, Dynamic, X)
+
+EIGEN_MAKE_TYPEDEFS_ALL_SIZES(int,                  i)
+EIGEN_MAKE_TYPEDEFS_ALL_SIZES(float,                f)
+EIGEN_MAKE_TYPEDEFS_ALL_SIZES(double,               d)
+
+#undef EIGEN_MAKE_TYPEDEFS_ALL_SIZES
+#undef EIGEN_MAKE_TYPEDEFS
+
+} // end namespace Eigen
+
 #endif // EIGEN_ALIGNEDBOX_H
diff --git a/extern/Eigen3/Eigen/src/Geometry/AngleAxis.h b/extern/Eigen3/Eigen/src/Geometry/AngleAxis.h
index 0ec4624cf98..f0e3ff2b380 100644
--- a/extern/Eigen3/Eigen/src/Geometry/AngleAxis.h
+++ b/extern/Eigen3/Eigen/src/Geometry/AngleAxis.h
@@ -25,6 +25,8 @@
 #ifndef EIGEN_ANGLEAXIS_H
 #define EIGEN_ANGLEAXIS_H
 
+namespace Eigen { 
+
 /** \geometry_module \ingroup Geometry_Module
   *
   * \class AngleAxis
@@ -144,7 +146,7 @@ public:
     m_angle = Scalar(other.angle());
   }
 
-  inline static const AngleAxis Identity() { return AngleAxis(0, Vector3::UnitX()); }
+  static inline const AngleAxis Identity() { return AngleAxis(0, Vector3::UnitX()); }
 
   /** \returns \c true if \c *this is approximately equal to \a other, within the precision
     * determined by \a prec.
@@ -238,4 +240,6 @@ AngleAxis<Scalar>::toRotationMatrix(void) const
   return res;
 }
 
+} // end namespace Eigen
+
 #endif // EIGEN_ANGLEAXIS_H
diff --git a/extern/Eigen3/Eigen/src/Geometry/EulerAngles.h b/extern/Eigen3/Eigen/src/Geometry/EulerAngles.h
index d246a6ebf4a..0ce7f957d99 100644
--- a/extern/Eigen3/Eigen/src/Geometry/EulerAngles.h
+++ b/extern/Eigen3/Eigen/src/Geometry/EulerAngles.h
@@ -25,6 +25,8 @@
 #ifndef EIGEN_EULERANGLES_H
 #define EIGEN_EULERANGLES_H
 
+namespace Eigen { 
+
 /** \geometry_module \ingroup Geometry_Module
   *
   *
@@ -92,5 +94,6 @@ MatrixBase<Derived>::eulerAngles(Index a0, Index a1, Index a2) const
   return res;
 }
 
+} // end namespace Eigen
 
 #endif // EIGEN_EULERANGLES_H
diff --git a/extern/Eigen3/Eigen/src/Geometry/Homogeneous.h b/extern/Eigen3/Eigen/src/Geometry/Homogeneous.h
index 2bc4f7e87e3..0c4cda01d79 100644
--- a/extern/Eigen3/Eigen/src/Geometry/Homogeneous.h
+++ b/extern/Eigen3/Eigen/src/Geometry/Homogeneous.h
@@ -25,6 +25,8 @@
 #ifndef EIGEN_HOMOGENEOUS_H
 #define EIGEN_HOMOGENEOUS_H
 
+namespace Eigen { 
+
 /** \geometry_module \ingroup Geometry_Module
   *
   * \class Homogeneous
@@ -121,7 +123,7 @@ template<typename MatrixType,int _Direction> class Homogeneous
     }
 
   protected:
-    const typename MatrixType::Nested m_matrix;
+    typename MatrixType::Nested m_matrix;
 };
 
 /** \geometry_module
@@ -216,8 +218,8 @@ template<typename Scalar, int Dim, int Mode,int Options>
 struct take_matrix_for_product<Transform<Scalar, Dim, Mode, Options> >
 {
   typedef Transform<Scalar, Dim, Mode, Options> TransformType;
-  typedef typename TransformType::ConstAffinePart type;
-  static const type run (const TransformType& x) { return x.affine(); }
+  typedef typename internal::add_const<typename TransformType::ConstAffinePart>::type type;
+  static type run (const TransformType& x) { return x.affine(); }
 };
 
 template<typename Scalar, int Dim, int Options>
@@ -270,8 +272,8 @@ struct homogeneous_left_product_impl<Homogeneous<MatrixType,Vertical>,Lhs>
             .template replicate<MatrixType::ColsAtCompileTime>(m_rhs.cols());
   }
 
-  const typename LhsMatrixTypeCleaned::Nested m_lhs;
-  const typename MatrixType::Nested m_rhs;
+  typename LhsMatrixTypeCleaned::Nested m_lhs;
+  typename MatrixType::Nested m_rhs;
 };
 
 template<typename MatrixType,typename Rhs>
@@ -309,10 +311,12 @@ struct homogeneous_right_product_impl<Homogeneous<MatrixType,Horizontal>,Rhs>
             .template replicate<MatrixType::RowsAtCompileTime>(m_lhs.rows());
   }
 
-  const typename MatrixType::Nested m_lhs;
-  const typename Rhs::Nested m_rhs;
+  typename MatrixType::Nested m_lhs;
+  typename Rhs::Nested m_rhs;
 };
 
 } // end namespace internal
 
+} // end namespace Eigen
+
 #endif // EIGEN_HOMOGENEOUS_H
diff --git a/extern/Eigen3/Eigen/src/Geometry/Hyperplane.h b/extern/Eigen3/Eigen/src/Geometry/Hyperplane.h
index d85d3e553f8..6abf1664d23 100644
--- a/extern/Eigen3/Eigen/src/Geometry/Hyperplane.h
+++ b/extern/Eigen3/Eigen/src/Geometry/Hyperplane.h
@@ -26,6 +26,8 @@
 #ifndef EIGEN_HYPERPLANE_H
 #define EIGEN_HYPERPLANE_H
 
+namespace Eigen { 
+
 /** \geometry_module \ingroup Geometry_Module
   *
   * \class Hyperplane
@@ -277,4 +279,6 @@ protected:
   Coefficients m_coeffs;
 };
 
+} // end namespace Eigen
+
 #endif // EIGEN_HYPERPLANE_H
diff --git a/extern/Eigen3/Eigen/src/Geometry/OrthoMethods.h b/extern/Eigen3/Eigen/src/Geometry/OrthoMethods.h
index 52b46988196..0a8a81dd14b 100644
--- a/extern/Eigen3/Eigen/src/Geometry/OrthoMethods.h
+++ b/extern/Eigen3/Eigen/src/Geometry/OrthoMethods.h
@@ -26,6 +26,8 @@
 #ifndef EIGEN_ORTHOMETHODS_H
 #define EIGEN_ORTHOMETHODS_H
 
+namespace Eigen { 
+
 /** \geometry_module
   *
   * \returns the cross product of \c *this and \a other
@@ -43,8 +45,8 @@ MatrixBase<Derived>::cross(const MatrixBase<OtherDerived>& other) const
 
   // Note that there is no need for an expression here since the compiler
   // optimize such a small temporary very well (even within a complex expression)
-  const typename internal::nested<Derived,2>::type lhs(derived());
-  const typename internal::nested<OtherDerived,2>::type rhs(other.derived());
+  typename internal::nested<Derived,2>::type lhs(derived());
+  typename internal::nested<OtherDerived,2>::type rhs(other.derived());
   return typename cross_product_return_type<OtherDerived>::type(
     internal::conj(lhs.coeff(1) * rhs.coeff(2) - lhs.coeff(2) * rhs.coeff(1)),
     internal::conj(lhs.coeff(2) * rhs.coeff(0) - lhs.coeff(0) * rhs.coeff(2)),
@@ -56,9 +58,9 @@ namespace internal {
 
 template< int Arch,typename VectorLhs,typename VectorRhs,
           typename Scalar = typename VectorLhs::Scalar,
-          bool Vectorizable = (VectorLhs::Flags&VectorRhs::Flags)&PacketAccessBit>
+          bool Vectorizable = bool((VectorLhs::Flags&VectorRhs::Flags)&PacketAccessBit)>
 struct cross3_impl {
-  inline static typename internal::plain_matrix_type<VectorLhs>::type
+  static inline typename internal::plain_matrix_type<VectorLhs>::type
   run(const VectorLhs& lhs, const VectorRhs& rhs)
   {
     return typename internal::plain_matrix_type<VectorLhs>::type(
@@ -145,7 +147,7 @@ struct unitOrthogonal_selector
   typedef typename NumTraits<Scalar>::Real RealScalar;
   typedef typename Derived::Index Index;
   typedef Matrix<Scalar,2,1> Vector2;
-  inline static VectorType run(const Derived& src)
+  static inline VectorType run(const Derived& src)
   {
     VectorType perp = VectorType::Zero(src.size());
     Index maxi = 0;
@@ -167,7 +169,7 @@ struct unitOrthogonal_selector<Derived,3>
   typedef typename plain_matrix_type<Derived>::type VectorType;
   typedef typename traits<Derived>::Scalar Scalar;
   typedef typename NumTraits<Scalar>::Real RealScalar;
-  inline static VectorType run(const Derived& src)
+  static inline VectorType run(const Derived& src)
   {
     VectorType perp;
     /* Let us compute the crossed product of *this with a vector
@@ -205,7 +207,7 @@ template<typename Derived>
 struct unitOrthogonal_selector<Derived,2>
 {
   typedef typename plain_matrix_type<Derived>::type VectorType;
-  inline static VectorType run(const Derived& src)
+  static inline VectorType run(const Derived& src)
   { return VectorType(-conj(src.y()), conj(src.x())).normalized(); }
 };
 
@@ -226,4 +228,6 @@ MatrixBase<Derived>::unitOrthogonal() const
   return internal::unitOrthogonal_selector<Derived>::run(derived());
 }
 
+} // end namespace Eigen
+
 #endif // EIGEN_ORTHOMETHODS_H
diff --git a/extern/Eigen3/Eigen/src/Geometry/ParametrizedLine.h b/extern/Eigen3/Eigen/src/Geometry/ParametrizedLine.h
index b90f9c088a2..ddbda83dcd0 100644
--- a/extern/Eigen3/Eigen/src/Geometry/ParametrizedLine.h
+++ b/extern/Eigen3/Eigen/src/Geometry/ParametrizedLine.h
@@ -26,6 +26,8 @@
 #ifndef EIGEN_PARAMETRIZEDLINE_H
 #define EIGEN_PARAMETRIZEDLINE_H
 
+namespace Eigen { 
+
 /** \geometry_module \ingroup Geometry_Module
   *
   * \class ParametrizedLine
@@ -106,8 +108,16 @@ public:
   VectorType projection(const VectorType& p) const
   { return origin() + direction().dot(p-origin()) * direction(); }
 
+  VectorType pointAt( Scalar t ) const;
+  
+  template <int OtherOptions>
+  Scalar intersectionParameter(const Hyperplane<_Scalar, _AmbientDim, OtherOptions>& hyperplane) const;
+ 
   template <int OtherOptions>
   Scalar intersection(const Hyperplane<_Scalar, _AmbientDim, OtherOptions>& hyperplane) const;
+  
+  template <int OtherOptions>
+  VectorType intersectionPoint(const Hyperplane<_Scalar, _AmbientDim, OtherOptions>& hyperplane) const;
 
   /** \returns \c *this with scalar type casted to \a NewScalarType
     *
@@ -155,14 +165,46 @@ inline ParametrizedLine<_Scalar, _AmbientDim,_Options>::ParametrizedLine(const H
   origin() = -hyperplane.normal()*hyperplane.offset();
 }
 
-/** \returns the parameter value of the intersection between \c *this and the given hyperplane
+/** \returns the point at \a t along this line
+  */
+template <typename _Scalar, int _AmbientDim, int _Options>
+inline typename ParametrizedLine<_Scalar, _AmbientDim,_Options>::VectorType
+ParametrizedLine<_Scalar, _AmbientDim,_Options>::pointAt( _Scalar t ) const
+{
+  return origin() + (direction()*t); 
+}
+
+/** \returns the parameter value of the intersection between \c *this and the given \a hyperplane
   */
 template <typename _Scalar, int _AmbientDim, int _Options>
 template <int OtherOptions>
-inline _Scalar ParametrizedLine<_Scalar, _AmbientDim,_Options>::intersection(const Hyperplane<_Scalar, _AmbientDim, OtherOptions>& hyperplane) const
+inline _Scalar ParametrizedLine<_Scalar, _AmbientDim,_Options>::intersectionParameter(const Hyperplane<_Scalar, _AmbientDim, OtherOptions>& hyperplane) const
 {
   return -(hyperplane.offset()+hyperplane.normal().dot(origin()))
           / hyperplane.normal().dot(direction());
 }
 
+
+/** \deprecated use intersectionParameter()
+  * \returns the parameter value of the intersection between \c *this and the given \a hyperplane
+  */
+template <typename _Scalar, int _AmbientDim, int _Options>
+template <int OtherOptions>
+inline _Scalar ParametrizedLine<_Scalar, _AmbientDim,_Options>::intersection(const Hyperplane<_Scalar, _AmbientDim, OtherOptions>& hyperplane) const
+{
+  return intersectionParameter(hyperplane);
+}
+
+/** \returns the point of the intersection between \c *this and the given hyperplane
+  */
+template <typename _Scalar, int _AmbientDim, int _Options>
+template <int OtherOptions>
+inline typename ParametrizedLine<_Scalar, _AmbientDim,_Options>::VectorType
+ParametrizedLine<_Scalar, _AmbientDim,_Options>::intersectionPoint(const Hyperplane<_Scalar, _AmbientDim, OtherOptions>& hyperplane) const
+{
+  return pointAt(intersectionParameter(hyperplane));
+}
+
+} // end namespace Eigen
+
 #endif // EIGEN_PARAMETRIZEDLINE_H
diff --git a/extern/Eigen3/Eigen/src/Geometry/Quaternion.h b/extern/Eigen3/Eigen/src/Geometry/Quaternion.h
index 9180db67d84..75083363c42 100644
--- a/extern/Eigen3/Eigen/src/Geometry/Quaternion.h
+++ b/extern/Eigen3/Eigen/src/Geometry/Quaternion.h
@@ -25,6 +25,8 @@
 
 #ifndef EIGEN_QUATERNION_H
 #define EIGEN_QUATERNION_H
+namespace Eigen { 
+
 
 /***************************************************************************
 * Definition of QuaternionBase<Derived>
@@ -38,6 +40,12 @@ template<typename Other,
 struct quaternionbase_assign_impl;
 }
 
+/** \geometry_module \ingroup Geometry_Module
+  * \class QuaternionBase
+  * \brief Base class for quaternion expressions
+  * \tparam Derived derived type (CRTP)
+  * \sa class Quaternion
+  */
 template<class Derived>
 class QuaternionBase : public RotationBase<Derived, 3>
 {
@@ -109,7 +117,7 @@ public:
   /** \returns a quaternion representing an identity rotation
     * \sa MatrixBase::Identity()
     */
-  inline static Quaternion<Scalar> Identity() { return Quaternion<Scalar>(1, 0, 0, 0); }
+  static inline Quaternion<Scalar> Identity() { return Quaternion<Scalar>(1, 0, 0, 0); }
 
   /** \sa QuaternionBase::Identity(), MatrixBase::setIdentity()
     */
@@ -278,6 +286,9 @@ public:
   explicit inline Quaternion(const Quaternion<OtherScalar, OtherOptions>& other)
   { m_coeffs = other.coeffs().template cast<Scalar>(); }
 
+  template<typename Derived1, typename Derived2>
+  static Quaternion FromTwoVectors(const MatrixBase<Derived1>& a, const MatrixBase<Derived2>& b);
+
   inline Coefficients& coeffs() { return m_coeffs;}
   inline const Coefficients& coeffs() const { return m_coeffs;}
 
@@ -287,7 +298,7 @@ protected:
   Coefficients m_coeffs;
   
 #ifndef EIGEN_PARSED_BY_DOXYGEN
-    EIGEN_STRONG_INLINE static void _check_template_params()
+    static EIGEN_STRONG_INLINE void _check_template_params()
     {
       EIGEN_STATIC_ASSERT( (_Options & DontAlign) == _Options,
         INVALID_MATRIX_TEMPLATE_PARAMETERS)
@@ -434,7 +445,7 @@ typedef Map<Quaternion<double>, Aligned>  QuaternionMapAlignedd;
 namespace internal {
 template<int Arch, class Derived1, class Derived2, typename Scalar, int _Options> struct quat_product
 {
-  EIGEN_STRONG_INLINE static Quaternion<Scalar> run(const QuaternionBase<Derived1>& a, const QuaternionBase<Derived2>& b){
+  static EIGEN_STRONG_INLINE Quaternion<Scalar> run(const QuaternionBase<Derived1>& a, const QuaternionBase<Derived2>& b){
     return Quaternion<Scalar>
     (
       a.w() * b.w() - a.x() * b.x() - a.y() * b.y() - a.z() * b.z(),
@@ -544,9 +555,9 @@ QuaternionBase<Derived>::toRotationMatrix(void) const
   // it has to be inlined, and so the return by value is not an issue
   Matrix3 res;
 
-  const Scalar tx  = 2*this->x();
-  const Scalar ty  = 2*this->y();
-  const Scalar tz  = 2*this->z();
+  const Scalar tx  = Scalar(2)*this->x();
+  const Scalar ty  = Scalar(2)*this->y();
+  const Scalar tz  = Scalar(2)*this->z();
   const Scalar twx = tx*this->w();
   const Scalar twy = ty*this->w();
   const Scalar twz = tz*this->w();
@@ -557,15 +568,15 @@ QuaternionBase<Derived>::toRotationMatrix(void) const
   const Scalar tyz = tz*this->y();
   const Scalar tzz = tz*this->z();
 
-  res.coeffRef(0,0) = 1-(tyy+tzz);
+  res.coeffRef(0,0) = Scalar(1)-(tyy+tzz);
   res.coeffRef(0,1) = txy-twz;
   res.coeffRef(0,2) = txz+twy;
   res.coeffRef(1,0) = txy+twz;
-  res.coeffRef(1,1) = 1-(txx+tzz);
+  res.coeffRef(1,1) = Scalar(1)-(txx+tzz);
   res.coeffRef(1,2) = tyz-twx;
   res.coeffRef(2,0) = txz-twy;
   res.coeffRef(2,1) = tyz+twx;
-  res.coeffRef(2,2) = 1-(txx+tyy);
+  res.coeffRef(2,2) = Scalar(1)-(txx+tyy);
 
   return res;
 }
@@ -618,6 +629,27 @@ inline Derived& QuaternionBase<Derived>::setFromTwoVectors(const MatrixBase<Deri
   return derived();
 }
 
+
+/** Returns a quaternion representing a rotation between
+  * the two arbitrary vectors \a a and \a b. In other words, the built
+  * rotation represent a rotation sending the line of direction \a a
+  * to the line of direction \a b, both lines passing through the origin.
+  *
+  * \returns resulting quaternion
+  *
+  * Note that the two input vectors do \b not have to be normalized, and
+  * do not need to have the same norm.
+  */
+template<typename Scalar, int Options>
+template<typename Derived1, typename Derived2>
+Quaternion<Scalar,Options> Quaternion<Scalar,Options>::FromTwoVectors(const MatrixBase<Derived1>& a, const MatrixBase<Derived2>& b)
+{
+    Quaternion quat;
+    quat.setFromTwoVectors(a, b);
+    return quat;
+}
+
+
 /** \returns the multiplicative inverse of \c *this
   * Note that in most cases, i.e., if you simply want the opposite rotation,
   * and/or the quaternion is normalized, then it is enough to use the conjugate.
@@ -709,7 +741,7 @@ struct quaternionbase_assign_impl<Other,3,3>
 {
   typedef typename Other::Scalar Scalar;
   typedef DenseIndex Index;
-  template<class Derived> inline static void run(QuaternionBase<Derived>& q, const Other& mat)
+  template<class Derived> static inline void run(QuaternionBase<Derived>& q, const Other& mat)
   {
     // This algorithm comes from  "Quaternion Calculus and Fast Animation",
     // Ken Shoemake, 1987 SIGGRAPH course notes
@@ -748,7 +780,7 @@ template<typename Other>
 struct quaternionbase_assign_impl<Other,4,1>
 {
   typedef typename Other::Scalar Scalar;
-  template<class Derived> inline static void run(QuaternionBase<Derived>& q, const Other& vec)
+  template<class Derived> static inline void run(QuaternionBase<Derived>& q, const Other& vec)
   {
     q.coeffs() = vec;
   }
@@ -756,4 +788,6 @@ struct quaternionbase_assign_impl<Other,4,1>
 
 } // end namespace internal
 
+} // end namespace Eigen
+
 #endif // EIGEN_QUATERNION_H
diff --git a/extern/Eigen3/Eigen/src/Geometry/Rotation2D.h b/extern/Eigen3/Eigen/src/Geometry/Rotation2D.h
index cf36da1c50c..4339e0f0f36 100644
--- a/extern/Eigen3/Eigen/src/Geometry/Rotation2D.h
+++ b/extern/Eigen3/Eigen/src/Geometry/Rotation2D.h
@@ -25,6 +25,8 @@
 #ifndef EIGEN_ROTATION2D_H
 #define EIGEN_ROTATION2D_H
 
+namespace Eigen { 
+
 /** \geometry_module \ingroup Geometry_Module
   *
   * \class Rotation2D
@@ -121,7 +123,7 @@ public:
     m_angle = Scalar(other.angle());
   }
 
-  inline static Rotation2D Identity() { return Rotation2D(0); }
+  static inline Rotation2D Identity() { return Rotation2D(0); }
 
   /** \returns \c true if \c *this is approximately equal to \a other, within the precision
     * determined by \a prec.
@@ -162,4 +164,6 @@ Rotation2D<Scalar>::toRotationMatrix(void) const
   return (Matrix2() << cosA, -sinA, sinA, cosA).finished();
 }
 
+} // end namespace Eigen
+
 #endif // EIGEN_ROTATION2D_H
diff --git a/extern/Eigen3/Eigen/src/Geometry/RotationBase.h b/extern/Eigen3/Eigen/src/Geometry/RotationBase.h
index 1abf06bb640..0b8fb0a520a 100644
--- a/extern/Eigen3/Eigen/src/Geometry/RotationBase.h
+++ b/extern/Eigen3/Eigen/src/Geometry/RotationBase.h
@@ -25,6 +25,8 @@
 #ifndef EIGEN_ROTATIONBASE_H
 #define EIGEN_ROTATIONBASE_H
 
+namespace Eigen { 
+
 // forward declaration
 namespace internal {
 template<typename RotationDerived, typename MatrixType, bool IsVector=MatrixType::IsVectorAtCompileTime>
@@ -115,7 +117,7 @@ struct rotation_base_generic_product_selector<RotationDerived,MatrixType,false>
 {
   enum { Dim = RotationDerived::Dim };
   typedef Matrix<typename RotationDerived::Scalar,Dim,Dim> ReturnType;
-  inline static ReturnType run(const RotationDerived& r, const MatrixType& m)
+  static inline ReturnType run(const RotationDerived& r, const MatrixType& m)
   { return r.toRotationMatrix() * m; }
 };
 
@@ -123,7 +125,7 @@ template<typename RotationDerived, typename Scalar, int Dim, int MaxDim>
 struct rotation_base_generic_product_selector< RotationDerived, DiagonalMatrix<Scalar,Dim,MaxDim>, false >
 {
   typedef Transform<Scalar,Dim,Affine> ReturnType;
-  inline static ReturnType run(const RotationDerived& r, const DiagonalMatrix<Scalar,Dim,MaxDim>& m)
+  static inline ReturnType run(const RotationDerived& r, const DiagonalMatrix<Scalar,Dim,MaxDim>& m)
   {
     ReturnType res(r);
     res.linear() *= m;
@@ -136,7 +138,7 @@ struct rotation_base_generic_product_selector<RotationDerived,OtherVectorType,tr
 {
   enum { Dim = RotationDerived::Dim };
   typedef Matrix<typename RotationDerived::Scalar,Dim,1> ReturnType;
-  EIGEN_STRONG_INLINE static ReturnType run(const RotationDerived& r, const OtherVectorType& v)
+  static EIGEN_STRONG_INLINE ReturnType run(const RotationDerived& r, const OtherVectorType& v)
   {
     return r._transformVector(v);
   }
@@ -192,20 +194,20 @@ namespace internal {
   * \sa class Transform, class Rotation2D, class Quaternion, class AngleAxis
   */
 template<typename Scalar, int Dim>
-inline static Matrix<Scalar,2,2> toRotationMatrix(const Scalar& s)
+static inline Matrix<Scalar,2,2> toRotationMatrix(const Scalar& s)
 {
   EIGEN_STATIC_ASSERT(Dim==2,YOU_MADE_A_PROGRAMMING_MISTAKE)
   return Rotation2D<Scalar>(s).toRotationMatrix();
 }
 
 template<typename Scalar, int Dim, typename OtherDerived>
-inline static Matrix<Scalar,Dim,Dim> toRotationMatrix(const RotationBase<OtherDerived,Dim>& r)
+static inline Matrix<Scalar,Dim,Dim> toRotationMatrix(const RotationBase<OtherDerived,Dim>& r)
 {
   return r.toRotationMatrix();
 }
 
 template<typename Scalar, int Dim, typename OtherDerived>
-inline static const MatrixBase<OtherDerived>& toRotationMatrix(const MatrixBase<OtherDerived>& mat)
+static inline const MatrixBase<OtherDerived>& toRotationMatrix(const MatrixBase<OtherDerived>& mat)
 {
   EIGEN_STATIC_ASSERT(OtherDerived::RowsAtCompileTime==Dim && OtherDerived::ColsAtCompileTime==Dim,
     YOU_MADE_A_PROGRAMMING_MISTAKE)
@@ -214,4 +216,6 @@ inline static const MatrixBase<OtherDerived>& toRotationMatrix(const MatrixBase<
 
 } // end namespace internal
 
+} // end namespace Eigen
+
 #endif // EIGEN_ROTATIONBASE_H
diff --git a/extern/Eigen3/Eigen/src/Geometry/Scaling.h b/extern/Eigen3/Eigen/src/Geometry/Scaling.h
index c911d13e1d3..080f3379455 100644
--- a/extern/Eigen3/Eigen/src/Geometry/Scaling.h
+++ b/extern/Eigen3/Eigen/src/Geometry/Scaling.h
@@ -25,6 +25,8 @@
 #ifndef EIGEN_SCALING_H
 #define EIGEN_SCALING_H
 
+namespace Eigen { 
+
 /** \geometry_module \ingroup Geometry_Module
   *
   * \class Scaling
@@ -179,4 +181,6 @@ UniformScaling<Scalar>::operator* (const Transform<Scalar,Dim, Mode, Options>& t
   return res;
 }
 
+} // end namespace Eigen
+
 #endif // EIGEN_SCALING_H
diff --git a/extern/Eigen3/Eigen/src/Geometry/Transform.h b/extern/Eigen3/Eigen/src/Geometry/Transform.h
index a694673ebed..be588fe4179 100644
--- a/extern/Eigen3/Eigen/src/Geometry/Transform.h
+++ b/extern/Eigen3/Eigen/src/Geometry/Transform.h
@@ -27,6 +27,8 @@
 #ifndef EIGEN_TRANSFORM_H
 #define EIGEN_TRANSFORM_H
 
+namespace Eigen { 
+
 namespace internal {
 
 template<typename Transform>
@@ -207,9 +209,9 @@ public:
   /** type of the matrix used to represent the linear part of the transformation */
   typedef Matrix<Scalar,Dim,Dim,Options> LinearMatrixType;
   /** type of read/write reference to the linear part of the transformation */
-  typedef Block<MatrixType,Dim,Dim> LinearPart;
+  typedef Block<MatrixType,Dim,Dim,int(Mode)==(AffineCompact)> LinearPart;
   /** type of read reference to the linear part of the transformation */
-  typedef const Block<ConstMatrixType,Dim,Dim> ConstLinearPart;
+  typedef const Block<ConstMatrixType,Dim,Dim,int(Mode)==(AffineCompact)> ConstLinearPart;
   /** type of read/write reference to the affine part of the transformation */
   typedef typename internal::conditional<int(Mode)==int(AffineCompact),
                               MatrixType&,
@@ -221,9 +223,9 @@ public:
   /** type of a vector */
   typedef Matrix<Scalar,Dim,1> VectorType;
   /** type of a read/write reference to the translation part of the rotation */
-  typedef Block<MatrixType,Dim,1> TranslationPart;
+  typedef Block<MatrixType,Dim,1,int(Mode)==(AffineCompact)> TranslationPart;
   /** type of a read reference to the translation part of the rotation */
-  typedef const Block<ConstMatrixType,Dim,1> ConstTranslationPart;
+  typedef const Block<ConstMatrixType,Dim,1,int(Mode)==(AffineCompact)> ConstTranslationPart;
   /** corresponding translation type */
   typedef Translation<Scalar,Dim> TranslationType;
   
@@ -279,6 +281,9 @@ public:
   template<typename OtherDerived>
   inline explicit Transform(const EigenBase<OtherDerived>& other)
   {
+    EIGEN_STATIC_ASSERT((internal::is_same<Scalar,typename OtherDerived::Scalar>::value),
+      YOU_MIXED_DIFFERENT_NUMERIC_TYPES__YOU_NEED_TO_USE_THE_CAST_METHOD_OF_MATRIXBASE_TO_CAST_NUMERIC_TYPES_EXPLICITLY);
+
     check_template_params();
     internal::transform_construct_from_matrix<OtherDerived,Mode,Options,Dim,HDim>::run(this, other.derived());
   }
@@ -287,6 +292,9 @@ public:
   template<typename OtherDerived>
   inline Transform& operator=(const EigenBase<OtherDerived>& other)
   {
+    EIGEN_STATIC_ASSERT((internal::is_same<Scalar,typename OtherDerived::Scalar>::value),
+      YOU_MIXED_DIFFERENT_NUMERIC_TYPES__YOU_NEED_TO_USE_THE_CAST_METHOD_OF_MATRIXBASE_TO_CAST_NUMERIC_TYPES_EXPLICITLY);
+
     internal::transform_construct_from_matrix<OtherDerived,Mode,Options,Dim,HDim>::run(this, other.derived());
     return *this;
   }
@@ -376,9 +384,9 @@ public:
   inline MatrixType& matrix() { return m_matrix; }
 
   /** \returns a read-only expression of the linear part of the transformation */
-  inline ConstLinearPart linear() const { return m_matrix.template block<Dim,Dim>(0,0); }
+  inline ConstLinearPart linear() const { return ConstLinearPart(m_matrix,0,0); }
   /** \returns a writable expression of the linear part of the transformation */
-  inline LinearPart linear() { return m_matrix.template block<Dim,Dim>(0,0); }
+  inline LinearPart linear() { return LinearPart(m_matrix,0,0); }
 
   /** \returns a read-only expression of the Dim x HDim affine part of the transformation */
   inline ConstAffinePart affine() const { return take_affine_part::run(m_matrix); }
@@ -386,9 +394,9 @@ public:
   inline AffinePart affine() { return take_affine_part::run(m_matrix); }
 
   /** \returns a read-only expression of the translation vector of the transformation */
-  inline ConstTranslationPart translation() const { return m_matrix.template block<Dim,1>(0,Dim); }
+  inline ConstTranslationPart translation() const { return ConstTranslationPart(m_matrix,0,Dim); }
   /** \returns a writable expression of the translation vector of the transformation */
-  inline TranslationPart translation() { return m_matrix.template block<Dim,1>(0,Dim); }
+  inline TranslationPart translation() { return TranslationPart(m_matrix,0,Dim); }
 
   /** \returns an expression of the product between the transform \c *this and a matrix expression \a other
     *
@@ -608,7 +616,7 @@ public:
   
 protected:
   #ifndef EIGEN_PARSED_BY_DOXYGEN
-    EIGEN_STRONG_INLINE static void check_template_params()
+    static EIGEN_STRONG_INLINE void check_template_params()
     {
       EIGEN_STATIC_ASSERT((Options & (DontAlign|RowMajor)) == Options, INVALID_MATRIX_TEMPLATE_PARAMETERS)
     }
@@ -1219,7 +1227,7 @@ struct transform_right_product_impl< TransformType, MatrixType, 0 >
 {
   typedef typename MatrixType::PlainObject ResultType;
 
-  EIGEN_STRONG_INLINE static ResultType run(const TransformType& T, const MatrixType& other)
+  static EIGEN_STRONG_INLINE ResultType run(const TransformType& T, const MatrixType& other)
   {
     return T.matrix() * other;
   }
@@ -1237,11 +1245,11 @@ struct transform_right_product_impl< TransformType, MatrixType, 1 >
 
   typedef typename MatrixType::PlainObject ResultType;
 
-  EIGEN_STRONG_INLINE static ResultType run(const TransformType& T, const MatrixType& other)
+  static EIGEN_STRONG_INLINE ResultType run(const TransformType& T, const MatrixType& other)
   {
     EIGEN_STATIC_ASSERT(OtherRows==HDim, YOU_MIXED_MATRICES_OF_DIFFERENT_SIZES);
 
-    typedef Block<ResultType, Dim, OtherCols> TopLeftLhs;
+    typedef Block<ResultType, Dim, OtherCols, int(MatrixType::RowsAtCompileTime)==Dim> TopLeftLhs;
 
     ResultType res(other.rows(),other.cols());
     TopLeftLhs(res, 0, 0, Dim, other.cols()).noalias() = T.affine() * other;
@@ -1263,15 +1271,13 @@ struct transform_right_product_impl< TransformType, MatrixType, 2 >
 
   typedef typename MatrixType::PlainObject ResultType;
 
-  EIGEN_STRONG_INLINE static ResultType run(const TransformType& T, const MatrixType& other)
+  static EIGEN_STRONG_INLINE ResultType run(const TransformType& T, const MatrixType& other)
   {
     EIGEN_STATIC_ASSERT(OtherRows==Dim, YOU_MIXED_MATRICES_OF_DIFFERENT_SIZES);
 
-    typedef Block<ResultType, Dim, OtherCols> TopLeftLhs;
-
-    ResultType res(other.rows(),other.cols());
-    TopLeftLhs(res, 0, 0, Dim, other.cols()).noalias() = T.linear() * other;
-    TopLeftLhs(res, 0, 0, Dim, other.cols()).colwise() += T.translation();
+    typedef Block<ResultType, Dim, OtherCols, true> TopLeftLhs;
+    ResultType res(Replicate<typename TransformType::ConstTranslationPart, 1, OtherCols>(T.translation(),1,other.cols()));
+    TopLeftLhs(res, 0, 0, Dim, other.cols()).noalias() += T.linear() * other;
 
     return res;
   }
@@ -1422,4 +1428,6 @@ struct transform_transform_product_impl<Transform<Scalar,Dim,Projective,LhsOptio
 
 } // end namespace internal
 
+} // end namespace Eigen
+
 #endif // EIGEN_TRANSFORM_H
diff --git a/extern/Eigen3/Eigen/src/Geometry/Translation.h b/extern/Eigen3/Eigen/src/Geometry/Translation.h
index d8fe50f987e..8d77a3d23a2 100644
--- a/extern/Eigen3/Eigen/src/Geometry/Translation.h
+++ b/extern/Eigen3/Eigen/src/Geometry/Translation.h
@@ -25,6 +25,8 @@
 #ifndef EIGEN_TRANSLATION_H
 #define EIGEN_TRANSLATION_H
 
+namespace Eigen { 
+
 /** \geometry_module \ingroup Geometry_Module
   *
   * \class Translation
@@ -54,6 +56,8 @@ public:
   typedef Matrix<Scalar,Dim,Dim> LinearMatrixType;
   /** corresponding affine transformation type */
   typedef Transform<Scalar,Dim,Affine> AffineTransformType;
+  /** corresponding isometric transformation type */
+  typedef Transform<Scalar,Dim,Isometry> IsometryTransformType;
 
 protected:
 
@@ -114,8 +118,8 @@ public:
 
   /** Concatenates a translation and a rotation */
   template<typename Derived>
-  inline AffineTransformType operator*(const RotationBase<Derived,Dim>& r) const
-  { return *this * r.toRotationMatrix(); }
+  inline IsometryTransformType operator*(const RotationBase<Derived,Dim>& r) const
+  { return *this * IsometryTransformType(r); }
 
   /** \returns the concatenation of a linear transformation \a l with the translation \a t */
   // its a nightmare to define a templated friend function outside its declaration
@@ -212,4 +216,6 @@ Translation<Scalar,Dim>::operator* (const EigenBase<OtherDerived>& linear) const
   return res;
 }
 
+} // end namespace Eigen
+
 #endif // EIGEN_TRANSLATION_H
diff --git a/extern/Eigen3/Eigen/src/Geometry/Umeyama.h b/extern/Eigen3/Eigen/src/Geometry/Umeyama.h
index b50f461730e..4d4cc3632e2 100644
--- a/extern/Eigen3/Eigen/src/Geometry/Umeyama.h
+++ b/extern/Eigen3/Eigen/src/Geometry/Umeyama.h
@@ -31,6 +31,8 @@
 // * Eigen/SVD
 // * Eigen/Array
 
+namespace Eigen { 
+
 #ifndef EIGEN_PARSED_BY_DOXYGEN
 
 // These helpers are required since it allows to use mixed types as parameters
@@ -180,4 +182,6 @@ umeyama(const MatrixBase<Derived>& src, const MatrixBase<OtherDerived>& dst, boo
   return Rt;
 }
 
+} // end namespace Eigen
+
 #endif // EIGEN_UMEYAMA_H
diff --git a/extern/Eigen3/Eigen/src/Geometry/arch/Geometry_SSE.h b/extern/Eigen3/Eigen/src/Geometry/arch/Geometry_SSE.h
index 2af32678d1c..08d0f600a0d 100644
--- a/extern/Eigen3/Eigen/src/Geometry/arch/Geometry_SSE.h
+++ b/extern/Eigen3/Eigen/src/Geometry/arch/Geometry_SSE.h
@@ -26,12 +26,14 @@
 #ifndef EIGEN_GEOMETRY_SSE_H
 #define EIGEN_GEOMETRY_SSE_H
 
+namespace Eigen { 
+
 namespace internal {
 
 template<class Derived, class OtherDerived>
 struct quat_product<Architecture::SSE, Derived, OtherDerived, float, Aligned>
 {
-  inline static Quaternion<float> run(const QuaternionBase<Derived>& _a, const QuaternionBase<OtherDerived>& _b)
+  static inline Quaternion<float> run(const QuaternionBase<Derived>& _a, const QuaternionBase<OtherDerived>& _b)
   {
     const __m128 mask = _mm_castsi128_ps(_mm_setr_epi32(0,0,0,0x80000000));
     Quaternion<float> res;
@@ -53,7 +55,7 @@ struct quat_product<Architecture::SSE, Derived, OtherDerived, float, Aligned>
 template<typename VectorLhs,typename VectorRhs>
 struct cross3_impl<Architecture::SSE,VectorLhs,VectorRhs,float,true>
 {
-  inline static typename plain_matrix_type<VectorLhs>::type
+  static inline typename plain_matrix_type<VectorLhs>::type
   run(const VectorLhs& lhs, const VectorRhs& rhs)
   {
     __m128 a = lhs.template packet<VectorLhs::Flags&AlignedBit ? Aligned : Unaligned>(0);
@@ -72,7 +74,7 @@ struct cross3_impl<Architecture::SSE,VectorLhs,VectorRhs,float,true>
 template<class Derived, class OtherDerived>
 struct quat_product<Architecture::SSE, Derived, OtherDerived, double, Aligned>
 {
-  inline static Quaternion<double> run(const QuaternionBase<Derived>& _a, const QuaternionBase<OtherDerived>& _b)
+  static inline Quaternion<double> run(const QuaternionBase<Derived>& _a, const QuaternionBase<OtherDerived>& _b)
   {
   const Packet2d mask = _mm_castsi128_pd(_mm_set_epi32(0x0,0x0,0x80000000,0x0));
 
@@ -123,4 +125,6 @@ struct quat_product<Architecture::SSE, Derived, OtherDerived, double, Aligned>
 
 } // end namespace internal
 
+} // end namespace Eigen
+
 #endif // EIGEN_GEOMETRY_SSE_H
diff --git a/extern/Eigen3/Eigen/src/Householder/BlockHouseholder.h b/extern/Eigen3/Eigen/src/Householder/BlockHouseholder.h
index 23ce1bfbd46..b69fd46d565 100644
--- a/extern/Eigen3/Eigen/src/Householder/BlockHouseholder.h
+++ b/extern/Eigen3/Eigen/src/Householder/BlockHouseholder.h
@@ -28,6 +28,8 @@
 
 // This file contains some helper function to deal with block householder reflectors
 
+namespace Eigen { 
+
 namespace internal {
 
 /** \internal */
@@ -64,7 +66,7 @@ void apply_block_householder_on_the_left(MatrixType& mat, const VectorsType& vec
   Matrix<typename MatrixType::Scalar, TFactorSize, TFactorSize> T(nbVecs,nbVecs);
   make_block_householder_triangular_factor(T, vectors, hCoeffs);
 
-  const TriangularView<VectorsType, UnitLower>& V(vectors);
+  const TriangularView<const VectorsType, UnitLower>& V(vectors);
 
   // A -= V T V^* A
   Matrix<typename MatrixType::Scalar,VectorsType::ColsAtCompileTime,MatrixType::ColsAtCompileTime,0,
@@ -76,4 +78,6 @@ void apply_block_householder_on_the_left(MatrixType& mat, const VectorsType& vec
 
 } // end namespace internal
 
+} // end namespace Eigen
+
 #endif // EIGEN_BLOCK_HOUSEHOLDER_H
diff --git a/extern/Eigen3/Eigen/src/Householder/Householder.h b/extern/Eigen3/Eigen/src/Householder/Householder.h
index 74139c0dcce..9fcd2fc8fdc 100644
--- a/extern/Eigen3/Eigen/src/Householder/Householder.h
+++ b/extern/Eigen3/Eigen/src/Householder/Householder.h
@@ -26,6 +26,8 @@
 #ifndef EIGEN_HOUSEHOLDER_H
 #define EIGEN_HOUSEHOLDER_H
 
+namespace Eigen { 
+
 namespace internal {
 template<int n> struct decrement_size
 {
@@ -35,6 +37,22 @@ template<int n> struct decrement_size
 };
 }
 
+/** Computes the elementary reflector H such that:
+  * \f$ H *this = [ beta 0 ... 0]^T \f$
+  * where the transformation H is:
+  * \f$ H = I - tau v v^*\f$
+  * and the vector v is:
+  * \f$ v^T = [1 essential^T] \f$
+  *
+  * The essential part of the vector \c v is stored in *this.
+  * 
+  * On output:
+  * \param tau the scaling factor of the Householder transformation
+  * \param beta the result of H * \c *this
+  *
+  * \sa MatrixBase::makeHouseholder(), MatrixBase::applyHouseholderOnTheLeft(),
+  *     MatrixBase::applyHouseholderOnTheRight()
+  */
 template<typename Derived>
 void MatrixBase<Derived>::makeHouseholderInPlace(Scalar& tau, RealScalar& beta)
 {
@@ -51,7 +69,7 @@ void MatrixBase<Derived>::makeHouseholderInPlace(Scalar& tau, RealScalar& beta)
   *
   * On output:
   * \param essential the essential part of the vector \c v
-  * \param tau the scaling factor of the householder transformation
+  * \param tau the scaling factor of the Householder transformation
   * \param beta the result of H * \c *this
   *
   * \sa MatrixBase::makeHouseholderInPlace(), MatrixBase::applyHouseholderOnTheLeft(),
@@ -86,6 +104,21 @@ void MatrixBase<Derived>::makeHouseholder(
   }
 }
 
+/** Apply the elementary reflector H given by
+  * \f$ H = I - tau v v^*\f$
+  * with
+  * \f$ v^T = [1 essential^T] \f$
+  * from the left to a vector or matrix.
+  *
+  * On input:
+  * \param essential the essential part of the vector \c v
+  * \param tau the scaling factor of the Householder transformation
+  * \param workspace a pointer to working space with at least
+  *                  this->cols() * essential.size() entries
+  *
+  * \sa MatrixBase::makeHouseholder(), MatrixBase::makeHouseholderInPlace(), 
+  *     MatrixBase::applyHouseholderOnTheRight()
+  */
 template<typename Derived>
 template<typename EssentialPart>
 void MatrixBase<Derived>::applyHouseholderOnTheLeft(
@@ -108,6 +141,21 @@ void MatrixBase<Derived>::applyHouseholderOnTheLeft(
   }
 }
 
+/** Apply the elementary reflector H given by
+  * \f$ H = I - tau v v^*\f$
+  * with
+  * \f$ v^T = [1 essential^T] \f$
+  * from the right to a vector or matrix.
+  *
+  * On input:
+  * \param essential the essential part of the vector \c v
+  * \param tau the scaling factor of the Householder transformation
+  * \param workspace a pointer to working space with at least
+  *                  this->cols() * essential.size() entries
+  *
+  * \sa MatrixBase::makeHouseholder(), MatrixBase::makeHouseholderInPlace(), 
+  *     MatrixBase::applyHouseholderOnTheLeft()
+  */
 template<typename Derived>
 template<typename EssentialPart>
 void MatrixBase<Derived>::applyHouseholderOnTheRight(
@@ -130,4 +178,6 @@ void MatrixBase<Derived>::applyHouseholderOnTheRight(
   }
 }
 
+} // end namespace Eigen
+
 #endif // EIGEN_HOUSEHOLDER_H
diff --git a/extern/Eigen3/Eigen/src/Householder/HouseholderSequence.h b/extern/Eigen3/Eigen/src/Householder/HouseholderSequence.h
index 717f29c99e9..1cb461b4823 100644
--- a/extern/Eigen3/Eigen/src/Householder/HouseholderSequence.h
+++ b/extern/Eigen3/Eigen/src/Householder/HouseholderSequence.h
@@ -26,6 +26,8 @@
 #ifndef EIGEN_HOUSEHOLDER_SEQUENCE_H
 #define EIGEN_HOUSEHOLDER_SEQUENCE_H
 
+namespace Eigen { 
+
 /** \ingroup Householder_Module
   * \householder_module
   * \class HouseholderSequence
@@ -237,13 +239,20 @@ template<typename VectorsType, typename CoeffsType, int Side> class HouseholderS
     ConjugateReturnType inverse() const { return adjoint(); }
 
     /** \internal */
-    template<typename DestType> void evalTo(DestType& dst) const
+    template<typename DestType> inline void evalTo(DestType& dst) const
     {
-      Index vecs = m_length;
-      // FIXME find a way to pass this temporary if the user wants to
       Matrix<Scalar, DestType::RowsAtCompileTime, 1,
-             AutoAlign|ColMajor, DestType::MaxRowsAtCompileTime, 1> temp(rows());
-      if(    internal::is_same<typename internal::remove_all<VectorsType>::type,DestType>::value
+             AutoAlign|ColMajor, DestType::MaxRowsAtCompileTime, 1> workspace(rows());
+      evalTo(dst, workspace);
+    }
+
+    /** \internal */
+    template<typename Dest, typename Workspace>
+    void evalTo(Dest& dst, Workspace& workspace) const
+    {
+      workspace.resize(rows());
+      Index vecs = m_length;
+      if(    internal::is_same<typename internal::remove_all<VectorsType>::type,Dest>::value
           && internal::extract_data(dst) == internal::extract_data(m_vectors))
       {
         // in-place
@@ -254,10 +263,10 @@ template<typename VectorsType, typename CoeffsType, int Side> class HouseholderS
           Index cornerSize = rows() - k - m_shift;
           if(m_trans)
             dst.bottomRightCorner(cornerSize, cornerSize)
-            .applyHouseholderOnTheRight(essentialVector(k), m_coeffs.coeff(k), &temp.coeffRef(0));
+               .applyHouseholderOnTheRight(essentialVector(k), m_coeffs.coeff(k), workspace.data());
           else
             dst.bottomRightCorner(cornerSize, cornerSize)
-              .applyHouseholderOnTheLeft(essentialVector(k), m_coeffs.coeff(k), &temp.coeffRef(0));
+               .applyHouseholderOnTheLeft(essentialVector(k), m_coeffs.coeff(k), workspace.data());
 
           // clear the off diagonal vector
           dst.col(k).tail(rows()-k-1).setZero();
@@ -274,10 +283,10 @@ template<typename VectorsType, typename CoeffsType, int Side> class HouseholderS
           Index cornerSize = rows() - k - m_shift;
           if(m_trans)
             dst.bottomRightCorner(cornerSize, cornerSize)
-            .applyHouseholderOnTheRight(essentialVector(k), m_coeffs.coeff(k), &temp.coeffRef(0));
+               .applyHouseholderOnTheRight(essentialVector(k), m_coeffs.coeff(k), &workspace.coeffRef(0));
           else
             dst.bottomRightCorner(cornerSize, cornerSize)
-              .applyHouseholderOnTheLeft(essentialVector(k), m_coeffs.coeff(k), &temp.coeffRef(0));
+               .applyHouseholderOnTheLeft(essentialVector(k), m_coeffs.coeff(k), &workspace.coeffRef(0));
         }
       }
     }
@@ -285,24 +294,40 @@ template<typename VectorsType, typename CoeffsType, int Side> class HouseholderS
     /** \internal */
     template<typename Dest> inline void applyThisOnTheRight(Dest& dst) const
     {
-      Matrix<Scalar,1,Dest::RowsAtCompileTime> temp(dst.rows());
+      Matrix<Scalar,1,Dest::RowsAtCompileTime,RowMajor,1,Dest::MaxRowsAtCompileTime> workspace(dst.rows());
+      applyThisOnTheRight(dst, workspace);
+    }
+
+    /** \internal */
+    template<typename Dest, typename Workspace>
+    inline void applyThisOnTheRight(Dest& dst, Workspace& workspace) const
+    {
+      workspace.resize(dst.rows());
       for(Index k = 0; k < m_length; ++k)
       {
         Index actual_k = m_trans ? m_length-k-1 : k;
         dst.rightCols(rows()-m_shift-actual_k)
-           .applyHouseholderOnTheRight(essentialVector(actual_k), m_coeffs.coeff(actual_k), &temp.coeffRef(0));
+           .applyHouseholderOnTheRight(essentialVector(actual_k), m_coeffs.coeff(actual_k), workspace.data());
       }
     }
 
     /** \internal */
     template<typename Dest> inline void applyThisOnTheLeft(Dest& dst) const
     {
-      Matrix<Scalar,1,Dest::ColsAtCompileTime> temp(dst.cols());
+      Matrix<Scalar,1,Dest::ColsAtCompileTime,RowMajor,1,Dest::MaxColsAtCompileTime> workspace(dst.cols());
+      applyThisOnTheLeft(dst, workspace);
+    }
+
+    /** \internal */
+    template<typename Dest, typename Workspace>
+    inline void applyThisOnTheLeft(Dest& dst, Workspace& workspace) const
+    {
+      workspace.resize(dst.cols());
       for(Index k = 0; k < m_length; ++k)
       {
         Index actual_k = m_trans ? k : m_length-k-1;
         dst.bottomRows(rows()-m_shift-actual_k)
-           .applyHouseholderOnTheLeft(essentialVector(actual_k), m_coeffs.coeff(actual_k), &temp.coeffRef(0));
+           .applyHouseholderOnTheLeft(essentialVector(actual_k), m_coeffs.coeff(actual_k), workspace.data());
       }
     }
 
@@ -426,4 +451,6 @@ HouseholderSequence<VectorsType,CoeffsType,OnTheRight> rightHouseholderSequence(
   return HouseholderSequence<VectorsType,CoeffsType,OnTheRight>(v, h);
 }
 
+} // end namespace Eigen
+
 #endif // EIGEN_HOUSEHOLDER_SEQUENCE_H
diff --git a/extern/Eigen3/Eigen/src/Jacobi/Jacobi.h b/extern/Eigen3/Eigen/src/Jacobi/Jacobi.h
index 98dea6800bc..691f5f22b98 100644
--- a/extern/Eigen3/Eigen/src/Jacobi/Jacobi.h
+++ b/extern/Eigen3/Eigen/src/Jacobi/Jacobi.h
@@ -26,6 +26,8 @@
 #ifndef EIGEN_JACOBI_H
 #define EIGEN_JACOBI_H
 
+namespace Eigen { 
+
 /** \ingroup Jacobi_Module
   * \jacobi_module
   * \class JacobiRotation
@@ -326,7 +328,7 @@ void /*EIGEN_DONT_INLINE*/ apply_rotation_in_the_plane(VectorX& _x, VectorY& _y,
     // both vectors are sequentially stored in memory => vectorization
     enum { Peeling = 2 };
 
-    Index alignedStart = first_aligned(y, size);
+    Index alignedStart = internal::first_aligned(y, size);
     Index alignedEnd = alignedStart + ((size-alignedStart)/PacketSize)*PacketSize;
 
     const Packet pc = pset1<Packet>(j.c());
@@ -344,7 +346,7 @@ void /*EIGEN_DONT_INLINE*/ apply_rotation_in_the_plane(VectorX& _x, VectorY& _y,
     Scalar* EIGEN_RESTRICT px = x + alignedStart;
     Scalar* EIGEN_RESTRICT py = y + alignedStart;
 
-    if(first_aligned(x, size)==alignedStart)
+    if(internal::first_aligned(x, size)==alignedStart)
     {
       for(Index i=alignedStart; i<alignedEnd; i+=PacketSize)
       {
@@ -425,6 +427,9 @@ void /*EIGEN_DONT_INLINE*/ apply_rotation_in_the_plane(VectorX& _x, VectorY& _y,
     }
   }
 }
-}
+
+} // end namespace internal
+
+} // end namespace Eigen
 
 #endif // EIGEN_JACOBI_H
diff --git a/extern/Eigen3/Eigen/src/LU/Determinant.h b/extern/Eigen3/Eigen/src/LU/Determinant.h
index b4fe36eb061..a5097c13ff9 100644
--- a/extern/Eigen3/Eigen/src/LU/Determinant.h
+++ b/extern/Eigen3/Eigen/src/LU/Determinant.h
@@ -25,6 +25,8 @@
 #ifndef EIGEN_DETERMINANT_H
 #define EIGEN_DETERMINANT_H
 
+namespace Eigen { 
+
 namespace internal {
 
 template<typename Derived>
@@ -109,4 +111,6 @@ inline typename internal::traits<Derived>::Scalar MatrixBase<Derived>::determina
   return internal::determinant_impl<typename internal::remove_all<Nested>::type>::run(derived());
 }
 
+} // end namespace Eigen
+
 #endif // EIGEN_DETERMINANT_H
diff --git a/extern/Eigen3/Eigen/src/LU/FullPivLU.h b/extern/Eigen3/Eigen/src/LU/FullPivLU.h
index 46ae7d651c8..c342bc470fe 100644
--- a/extern/Eigen3/Eigen/src/LU/FullPivLU.h
+++ b/extern/Eigen3/Eigen/src/LU/FullPivLU.h
@@ -25,6 +25,8 @@
 #ifndef EIGEN_LU_H
 #define EIGEN_LU_H
 
+namespace Eigen { 
+
 /** \ingroup LU_Module
   *
   * \class FullPivLU
@@ -282,6 +284,7 @@ template<typename _MatrixType> class FullPivLU
     FullPivLU& setThreshold(Default_t)
     {
       m_usePrescribedThreshold = false;
+      return *this;
     }
 
     /** Returns the threshold that will be used by certain methods such as rank().
@@ -743,4 +746,6 @@ MatrixBase<Derived>::fullPivLu() const
   return FullPivLU<PlainObject>(eval());
 }
 
+} // end namespace Eigen
+
 #endif // EIGEN_LU_H
diff --git a/extern/Eigen3/Eigen/src/LU/Inverse.h b/extern/Eigen3/Eigen/src/LU/Inverse.h
index 2d3e6d10529..aa90dc8adea 100644
--- a/extern/Eigen3/Eigen/src/LU/Inverse.h
+++ b/extern/Eigen3/Eigen/src/LU/Inverse.h
@@ -25,6 +25,8 @@
 #ifndef EIGEN_INVERSE_H
 #define EIGEN_INVERSE_H
 
+namespace Eigen { 
+
 namespace internal {
 
 /**********************************
@@ -286,7 +288,7 @@ struct inverse_impl : public ReturnByValue<inverse_impl<MatrixType> >
   typedef typename MatrixType::Index Index;
   typedef typename internal::eval<MatrixType>::type MatrixTypeNested;
   typedef typename remove_all<MatrixTypeNested>::type MatrixTypeNestedCleaned;
-  const MatrixTypeNested m_matrix;
+  MatrixTypeNested m_matrix;
 
   inverse_impl(const MatrixType& matrix)
     : m_matrix(matrix)
@@ -404,4 +406,6 @@ inline void MatrixBase<Derived>::computeInverseWithCheck(
   computeInverseAndDetWithCheck(inverse,determinant,invertible,absDeterminantThreshold);
 }
 
+} // end namespace Eigen
+
 #endif // EIGEN_INVERSE_H
diff --git a/extern/Eigen3/Eigen/src/LU/PartialPivLU.h b/extern/Eigen3/Eigen/src/LU/PartialPivLU.h
index 09394b01f5b..8ae556eb6ea 100644
--- a/extern/Eigen3/Eigen/src/LU/PartialPivLU.h
+++ b/extern/Eigen3/Eigen/src/LU/PartialPivLU.h
@@ -26,6 +26,8 @@
 #ifndef EIGEN_PARTIALLU_H
 #define EIGEN_PARTIALLU_H
 
+namespace Eigen { 
+
 /** \ingroup LU_Module
   *
   * \class PartialPivLU
@@ -506,4 +508,6 @@ MatrixBase<Derived>::lu() const
 }
 #endif
 
+} // end namespace Eigen
+
 #endif // EIGEN_PARTIALLU_H
diff --git a/extern/Eigen3/Eigen/src/LU/arch/Inverse_SSE.h b/extern/Eigen3/Eigen/src/LU/arch/Inverse_SSE.h
index 4c6153f0aff..afb8e4a1dc0 100644
--- a/extern/Eigen3/Eigen/src/LU/arch/Inverse_SSE.h
+++ b/extern/Eigen3/Eigen/src/LU/arch/Inverse_SSE.h
@@ -42,6 +42,8 @@
 #ifndef EIGEN_INVERSE_SSE_H
 #define EIGEN_INVERSE_SSE_H
 
+namespace Eigen { 
+
 namespace internal {
 
 template<typename MatrixType, typename ResultType>
@@ -335,6 +337,8 @@ struct compute_inverse_size4<Architecture::SSE, double, MatrixType, ResultType>
   }
 };
 
-}
+} // end namespace internal
+
+} // end namespace Eigen
 
 #endif // EIGEN_INVERSE_SSE_H
diff --git a/extern/Eigen3/Eigen/src/QR/ColPivHouseholderQR.h b/extern/Eigen3/Eigen/src/QR/ColPivHouseholderQR.h
index f04c6038d6a..9550b6bf650 100644
--- a/extern/Eigen3/Eigen/src/QR/ColPivHouseholderQR.h
+++ b/extern/Eigen3/Eigen/src/QR/ColPivHouseholderQR.h
@@ -26,6 +26,8 @@
 #ifndef EIGEN_COLPIVOTINGHOUSEHOLDERQR_H
 #define EIGEN_COLPIVOTINGHOUSEHOLDERQR_H
 
+namespace Eigen { 
+
 /** \ingroup QR_Module
   *
   * \class ColPivHouseholderQR
@@ -528,5 +530,6 @@ MatrixBase<Derived>::colPivHouseholderQr() const
   return ColPivHouseholderQR<PlainObject>(eval());
 }
 
+} // end namespace Eigen
 
 #endif // EIGEN_COLPIVOTINGHOUSEHOLDERQR_H
diff --git a/extern/Eigen3/Eigen/src/QR/FullPivHouseholderQR.h b/extern/Eigen3/Eigen/src/QR/FullPivHouseholderQR.h
index dde3013be9d..6c4bc0abfe4 100644
--- a/extern/Eigen3/Eigen/src/QR/FullPivHouseholderQR.h
+++ b/extern/Eigen3/Eigen/src/QR/FullPivHouseholderQR.h
@@ -26,6 +26,20 @@
 #ifndef EIGEN_FULLPIVOTINGHOUSEHOLDERQR_H
 #define EIGEN_FULLPIVOTINGHOUSEHOLDERQR_H
 
+namespace Eigen { 
+
+namespace internal {
+
+template<typename MatrixType> struct FullPivHouseholderQRMatrixQReturnType;
+
+template<typename MatrixType>
+struct traits<FullPivHouseholderQRMatrixQReturnType<MatrixType> >
+{
+  typedef typename MatrixType::PlainObject ReturnType;
+};
+
+}
+
 /** \ingroup QR_Module
   *
   * \class FullPivHouseholderQR
@@ -62,7 +76,7 @@ template<typename _MatrixType> class FullPivHouseholderQR
     typedef typename MatrixType::Scalar Scalar;
     typedef typename MatrixType::RealScalar RealScalar;
     typedef typename MatrixType::Index Index;
-    typedef Matrix<Scalar, RowsAtCompileTime, RowsAtCompileTime, Options, MaxRowsAtCompileTime, MaxRowsAtCompileTime> MatrixQType;
+    typedef internal::FullPivHouseholderQRMatrixQReturnType<MatrixType> MatrixQReturnType;
     typedef typename internal::plain_diag_type<MatrixType>::type HCoeffsType;
     typedef Matrix<Index, 1, ColsAtCompileTime, RowMajor, 1, MaxColsAtCompileTime> IntRowVectorType;
     typedef PermutationMatrix<ColsAtCompileTime, MaxColsAtCompileTime> PermutationType;
@@ -139,7 +153,9 @@ template<typename _MatrixType> class FullPivHouseholderQR
       return internal::solve_retval<FullPivHouseholderQR, Rhs>(*this, b.derived());
     }
 
-    MatrixQType matrixQ(void) const;
+    /** \returns Expression object representing the matrix Q
+      */
+    MatrixQReturnType matrixQ(void) const;
 
     /** \returns a reference to the matrix where the Householder QR decomposition is stored
       */
@@ -508,28 +524,73 @@ struct solve_retval<FullPivHouseholderQR<_MatrixType>, Rhs>
   }
 };
 
+/** \ingroup QR_Module
+  *
+  * \brief Expression type for return value of FullPivHouseholderQR::matrixQ()
+  *
+  * \tparam MatrixType type of underlying dense matrix
+  */
+template<typename MatrixType> struct FullPivHouseholderQRMatrixQReturnType
+  : public ReturnByValue<FullPivHouseholderQRMatrixQReturnType<MatrixType> >
+{
+public:
+  typedef typename MatrixType::Index Index;
+  typedef typename internal::plain_col_type<MatrixType, Index>::type IntColVectorType;
+  typedef typename internal::plain_diag_type<MatrixType>::type HCoeffsType;
+  typedef Matrix<typename MatrixType::Scalar, 1, MatrixType::RowsAtCompileTime, RowMajor, 1,
+                 MatrixType::MaxRowsAtCompileTime> WorkVectorType;
+
+  FullPivHouseholderQRMatrixQReturnType(const MatrixType&       qr,
+                                        const HCoeffsType&      hCoeffs,
+                                        const IntColVectorType& rowsTranspositions)
+    : m_qr(qr),
+      m_hCoeffs(hCoeffs),
+      m_rowsTranspositions(rowsTranspositions)
+      {}
+
+  template <typename ResultType>
+  void evalTo(ResultType& result) const
+  {
+    const Index rows = m_qr.rows();
+    WorkVectorType workspace(rows);
+    evalTo(result, workspace);
+  }
+
+  template <typename ResultType>
+  void evalTo(ResultType& result, WorkVectorType& workspace) const
+  {
+    // compute the product H'_0 H'_1 ... H'_n-1,
+    // where H_k is the k-th Householder transformation I - h_k v_k v_k'
+    // and v_k is the k-th Householder vector [1,m_qr(k+1,k), m_qr(k+2,k), ...]
+    const Index rows = m_qr.rows();
+    const Index cols = m_qr.cols();
+    const Index size = (std::min)(rows, cols);
+    workspace.resize(rows);
+    result.setIdentity(rows, rows);
+    for (Index k = size-1; k >= 0; k--)
+    {
+      result.block(k, k, rows-k, rows-k)
+            .applyHouseholderOnTheLeft(m_qr.col(k).tail(rows-k-1), internal::conj(m_hCoeffs.coeff(k)), &workspace.coeffRef(k));
+      result.row(k).swap(result.row(m_rowsTranspositions.coeff(k)));
+    }
+  }
+
+    Index rows() const { return m_qr.rows(); }
+    Index cols() const { return m_qr.rows(); }
+
+protected:
+  typename MatrixType::Nested m_qr;
+  typename HCoeffsType::Nested m_hCoeffs;
+  typename IntColVectorType::Nested m_rowsTranspositions;
+};
+
 } // end namespace internal
 
-/** \returns the matrix Q */
 template<typename MatrixType>
-typename FullPivHouseholderQR<MatrixType>::MatrixQType FullPivHouseholderQR<MatrixType>::matrixQ() const
+inline typename FullPivHouseholderQR<MatrixType>::MatrixQReturnType FullPivHouseholderQR<MatrixType>::matrixQ() const
 {
   eigen_assert(m_isInitialized && "FullPivHouseholderQR is not initialized.");
-  // compute the product H'_0 H'_1 ... H'_n-1,
-  // where H_k is the k-th Householder transformation I - h_k v_k v_k'
-  // and v_k is the k-th Householder vector [1,m_qr(k+1,k), m_qr(k+2,k), ...]
-  Index rows = m_qr.rows();
-  Index cols = m_qr.cols();
-  Index size = (std::min)(rows,cols);
-  MatrixQType res = MatrixQType::Identity(rows, rows);
-  Matrix<Scalar,1,MatrixType::RowsAtCompileTime> temp(rows);
-  for (Index k = size-1; k >= 0; k--)
-  {
-    res.block(k, k, rows-k, rows-k)
-       .applyHouseholderOnTheLeft(m_qr.col(k).tail(rows-k-1), internal::conj(m_hCoeffs.coeff(k)), &temp.coeffRef(k));
-    res.row(k).swap(res.row(m_rows_transpositions.coeff(k)));
-  }
-  return res;
+  return MatrixQReturnType(m_qr, m_hCoeffs, m_rows_transpositions);
 }
 
 /** \return the full-pivoting Householder QR decomposition of \c *this.
@@ -543,4 +604,6 @@ MatrixBase<Derived>::fullPivHouseholderQr() const
   return FullPivHouseholderQR<PlainObject>(eval());
 }
 
+} // end namespace Eigen
+
 #endif // EIGEN_FULLPIVOTINGHOUSEHOLDERQR_H
diff --git a/extern/Eigen3/Eigen/src/QR/HouseholderQR.h b/extern/Eigen3/Eigen/src/QR/HouseholderQR.h
index 9ee96de2680..59f6fcaa271 100644
--- a/extern/Eigen3/Eigen/src/QR/HouseholderQR.h
+++ b/extern/Eigen3/Eigen/src/QR/HouseholderQR.h
@@ -27,6 +27,8 @@
 #ifndef EIGEN_QR_H
 #define EIGEN_QR_H
 
+namespace Eigen { 
+
 /** \ingroup QR_Module
   *
   *
@@ -351,5 +353,6 @@ MatrixBase<Derived>::householderQr() const
   return HouseholderQR<PlainObject>(eval());
 }
 
+} // end namespace Eigen
 
 #endif // EIGEN_QR_H
diff --git a/extern/Eigen3/Eigen/src/SVD/JacobiSVD.h b/extern/Eigen3/Eigen/src/SVD/JacobiSVD.h
index 3c423095c31..7451195220e 100644
--- a/extern/Eigen3/Eigen/src/SVD/JacobiSVD.h
+++ b/extern/Eigen3/Eigen/src/SVD/JacobiSVD.h
@@ -25,6 +25,8 @@
 #ifndef EIGEN_JACOBISVD_H
 #define EIGEN_JACOBISVD_H
 
+namespace Eigen { 
+
 namespace internal {
 // forward declaration (needed by ICC)
 // the empty body is required by MSVC
@@ -61,9 +63,12 @@ template<typename MatrixType, int QRPreconditioner, int Case,
 > struct qr_preconditioner_impl {};
 
 template<typename MatrixType, int QRPreconditioner, int Case>
-struct qr_preconditioner_impl<MatrixType, QRPreconditioner, Case, false>
+class qr_preconditioner_impl<MatrixType, QRPreconditioner, Case, false>
 {
-  static bool run(JacobiSVD<MatrixType, QRPreconditioner>&, const MatrixType&)
+public:
+  typedef typename MatrixType::Index Index;
+  void allocate(const JacobiSVD<MatrixType, QRPreconditioner>&) {}
+  bool run(JacobiSVD<MatrixType, QRPreconditioner>&, const MatrixType&)
   {
     return false;
   }
@@ -72,134 +77,279 @@ struct qr_preconditioner_impl<MatrixType, QRPreconditioner, Case, false>
 /*** preconditioner using FullPivHouseholderQR ***/
 
 template<typename MatrixType>
-struct qr_preconditioner_impl<MatrixType, FullPivHouseholderQRPreconditioner, PreconditionIfMoreRowsThanCols, true>
+class qr_preconditioner_impl<MatrixType, FullPivHouseholderQRPreconditioner, PreconditionIfMoreRowsThanCols, true>
 {
-  static bool run(JacobiSVD<MatrixType, FullPivHouseholderQRPreconditioner>& svd, const MatrixType& matrix)
+public:
+  typedef typename MatrixType::Index Index;
+  typedef typename MatrixType::Scalar Scalar;
+  enum
+  {
+    RowsAtCompileTime = MatrixType::RowsAtCompileTime,
+    MaxRowsAtCompileTime = MatrixType::MaxRowsAtCompileTime
+  };
+  typedef Matrix<Scalar, 1, RowsAtCompileTime, RowMajor, 1, MaxRowsAtCompileTime> WorkspaceType;
+
+  void allocate(const JacobiSVD<MatrixType, FullPivHouseholderQRPreconditioner>& svd)
+  {
+    if (svd.rows() != m_qr.rows() || svd.cols() != m_qr.cols())
+    {
+      m_qr = FullPivHouseholderQR<MatrixType>(svd.rows(), svd.cols());
+    }
+    if (svd.m_computeFullU) m_workspace.resize(svd.rows());
+  }
+
+  bool run(JacobiSVD<MatrixType, FullPivHouseholderQRPreconditioner>& svd, const MatrixType& matrix)
   {
     if(matrix.rows() > matrix.cols())
     {
-      FullPivHouseholderQR<MatrixType> qr(matrix);
-      svd.m_workMatrix = qr.matrixQR().block(0,0,matrix.cols(),matrix.cols()).template triangularView<Upper>();
-      if(svd.m_computeFullU) svd.m_matrixU = qr.matrixQ();
-      if(svd.computeV()) svd.m_matrixV = qr.colsPermutation();
+      m_qr.compute(matrix);
+      svd.m_workMatrix = m_qr.matrixQR().block(0,0,matrix.cols(),matrix.cols()).template triangularView<Upper>();
+      if(svd.m_computeFullU) m_qr.matrixQ().evalTo(svd.m_matrixU, m_workspace);
+      if(svd.computeV()) svd.m_matrixV = m_qr.colsPermutation();
       return true;
     }
     return false;
   }
+private:
+  FullPivHouseholderQR<MatrixType> m_qr;
+  WorkspaceType m_workspace;
 };
 
 template<typename MatrixType>
-struct qr_preconditioner_impl<MatrixType, FullPivHouseholderQRPreconditioner, PreconditionIfMoreColsThanRows, true>
+class qr_preconditioner_impl<MatrixType, FullPivHouseholderQRPreconditioner, PreconditionIfMoreColsThanRows, true>
 {
-  static bool run(JacobiSVD<MatrixType, FullPivHouseholderQRPreconditioner>& svd, const MatrixType& matrix)
+public:
+  typedef typename MatrixType::Index Index;
+  typedef typename MatrixType::Scalar Scalar;
+  enum
+  {
+    RowsAtCompileTime = MatrixType::RowsAtCompileTime,
+    ColsAtCompileTime = MatrixType::ColsAtCompileTime,
+    MaxRowsAtCompileTime = MatrixType::MaxRowsAtCompileTime,
+    MaxColsAtCompileTime = MatrixType::MaxColsAtCompileTime,
+    Options = MatrixType::Options
+  };
+  typedef Matrix<Scalar, ColsAtCompileTime, RowsAtCompileTime, Options, MaxColsAtCompileTime, MaxRowsAtCompileTime>
+          TransposeTypeWithSameStorageOrder;
+
+  void allocate(const JacobiSVD<MatrixType, FullPivHouseholderQRPreconditioner>& svd)
+  {
+    if (svd.cols() != m_qr.rows() || svd.rows() != m_qr.cols())
+    {
+      m_qr = FullPivHouseholderQR<TransposeTypeWithSameStorageOrder>(svd.cols(), svd.rows());
+    }
+    m_adjoint.resize(svd.cols(), svd.rows());
+    if (svd.m_computeFullV) m_workspace.resize(svd.cols());
+  }
+
+  bool run(JacobiSVD<MatrixType, FullPivHouseholderQRPreconditioner>& svd, const MatrixType& matrix)
   {
     if(matrix.cols() > matrix.rows())
     {
-      typedef Matrix<typename MatrixType::Scalar, MatrixType::ColsAtCompileTime, MatrixType::RowsAtCompileTime,
-                     MatrixType::Options, MatrixType::MaxColsAtCompileTime, MatrixType::MaxRowsAtCompileTime>
-              TransposeTypeWithSameStorageOrder;
-      FullPivHouseholderQR<TransposeTypeWithSameStorageOrder> qr(matrix.adjoint());
-      svd.m_workMatrix = qr.matrixQR().block(0,0,matrix.rows(),matrix.rows()).template triangularView<Upper>().adjoint();
-      if(svd.m_computeFullV) svd.m_matrixV = qr.matrixQ();
-      if(svd.computeU()) svd.m_matrixU = qr.colsPermutation();
+      m_adjoint = matrix.adjoint();
+      m_qr.compute(m_adjoint);
+      svd.m_workMatrix = m_qr.matrixQR().block(0,0,matrix.rows(),matrix.rows()).template triangularView<Upper>().adjoint();
+      if(svd.m_computeFullV) m_qr.matrixQ().evalTo(svd.m_matrixV, m_workspace);
+      if(svd.computeU()) svd.m_matrixU = m_qr.colsPermutation();
       return true;
     }
     else return false;
   }
+private:
+  FullPivHouseholderQR<TransposeTypeWithSameStorageOrder> m_qr;
+  TransposeTypeWithSameStorageOrder m_adjoint;
+  typename internal::plain_row_type<MatrixType>::type m_workspace;
 };
 
 /*** preconditioner using ColPivHouseholderQR ***/
 
 template<typename MatrixType>
-struct qr_preconditioner_impl<MatrixType, ColPivHouseholderQRPreconditioner, PreconditionIfMoreRowsThanCols, true>
+class qr_preconditioner_impl<MatrixType, ColPivHouseholderQRPreconditioner, PreconditionIfMoreRowsThanCols, true>
 {
-  static bool run(JacobiSVD<MatrixType, ColPivHouseholderQRPreconditioner>& svd, const MatrixType& matrix)
+public:
+  typedef typename MatrixType::Index Index;
+
+  void allocate(const JacobiSVD<MatrixType, ColPivHouseholderQRPreconditioner>& svd)
+  {
+    if (svd.rows() != m_qr.rows() || svd.cols() != m_qr.cols())
+    {
+      m_qr = ColPivHouseholderQR<MatrixType>(svd.rows(), svd.cols());
+    }
+    if (svd.m_computeFullU) m_workspace.resize(svd.rows());
+    else if (svd.m_computeThinU) m_workspace.resize(svd.cols());
+  }
+
+  bool run(JacobiSVD<MatrixType, ColPivHouseholderQRPreconditioner>& svd, const MatrixType& matrix)
   {
     if(matrix.rows() > matrix.cols())
     {
-      ColPivHouseholderQR<MatrixType> qr(matrix);
-      svd.m_workMatrix = qr.matrixQR().block(0,0,matrix.cols(),matrix.cols()).template triangularView<Upper>();
-      if(svd.m_computeFullU) svd.m_matrixU = qr.householderQ();
-      else if(svd.m_computeThinU) {
+      m_qr.compute(matrix);
+      svd.m_workMatrix = m_qr.matrixQR().block(0,0,matrix.cols(),matrix.cols()).template triangularView<Upper>();
+      if(svd.m_computeFullU) m_qr.householderQ().evalTo(svd.m_matrixU, m_workspace);
+      else if(svd.m_computeThinU)
+      {
         svd.m_matrixU.setIdentity(matrix.rows(), matrix.cols());
-        qr.householderQ().applyThisOnTheLeft(svd.m_matrixU);
+        m_qr.householderQ().applyThisOnTheLeft(svd.m_matrixU, m_workspace);
       }
-      if(svd.computeV()) svd.m_matrixV = qr.colsPermutation();
+      if(svd.computeV()) svd.m_matrixV = m_qr.colsPermutation();
       return true;
     }
     return false;
   }
+
+private:
+  ColPivHouseholderQR<MatrixType> m_qr;
+  typename internal::plain_col_type<MatrixType>::type m_workspace;
 };
 
 template<typename MatrixType>
-struct qr_preconditioner_impl<MatrixType, ColPivHouseholderQRPreconditioner, PreconditionIfMoreColsThanRows, true>
+class qr_preconditioner_impl<MatrixType, ColPivHouseholderQRPreconditioner, PreconditionIfMoreColsThanRows, true>
 {
-  static bool run(JacobiSVD<MatrixType, ColPivHouseholderQRPreconditioner>& svd, const MatrixType& matrix)
+public:
+  typedef typename MatrixType::Index Index;
+  typedef typename MatrixType::Scalar Scalar;
+  enum
+  {
+    RowsAtCompileTime = MatrixType::RowsAtCompileTime,
+    ColsAtCompileTime = MatrixType::ColsAtCompileTime,
+    MaxRowsAtCompileTime = MatrixType::MaxRowsAtCompileTime,
+    MaxColsAtCompileTime = MatrixType::MaxColsAtCompileTime,
+    Options = MatrixType::Options
+  };
+
+  typedef Matrix<Scalar, ColsAtCompileTime, RowsAtCompileTime, Options, MaxColsAtCompileTime, MaxRowsAtCompileTime>
+          TransposeTypeWithSameStorageOrder;
+
+  void allocate(const JacobiSVD<MatrixType, ColPivHouseholderQRPreconditioner>& svd)
+  {
+    if (svd.cols() != m_qr.rows() || svd.rows() != m_qr.cols())
+    {
+      m_qr = ColPivHouseholderQR<TransposeTypeWithSameStorageOrder>(svd.cols(), svd.rows());
+    }
+    if (svd.m_computeFullV) m_workspace.resize(svd.cols());
+    else if (svd.m_computeThinV) m_workspace.resize(svd.rows());
+    m_adjoint.resize(svd.cols(), svd.rows());
+  }
+
+  bool run(JacobiSVD<MatrixType, ColPivHouseholderQRPreconditioner>& svd, const MatrixType& matrix)
   {
     if(matrix.cols() > matrix.rows())
     {
-      typedef Matrix<typename MatrixType::Scalar, MatrixType::ColsAtCompileTime, MatrixType::RowsAtCompileTime,
-                     MatrixType::Options, MatrixType::MaxColsAtCompileTime, MatrixType::MaxRowsAtCompileTime>
-              TransposeTypeWithSameStorageOrder;
-      ColPivHouseholderQR<TransposeTypeWithSameStorageOrder> qr(matrix.adjoint());
-      svd.m_workMatrix = qr.matrixQR().block(0,0,matrix.rows(),matrix.rows()).template triangularView<Upper>().adjoint();
-      if(svd.m_computeFullV) svd.m_matrixV = qr.householderQ();
-      else if(svd.m_computeThinV) {
+      m_adjoint = matrix.adjoint();
+      m_qr.compute(m_adjoint);
+
+      svd.m_workMatrix = m_qr.matrixQR().block(0,0,matrix.rows(),matrix.rows()).template triangularView<Upper>().adjoint();
+      if(svd.m_computeFullV) m_qr.householderQ().evalTo(svd.m_matrixV, m_workspace);
+      else if(svd.m_computeThinV)
+      {
         svd.m_matrixV.setIdentity(matrix.cols(), matrix.rows());
-        qr.householderQ().applyThisOnTheLeft(svd.m_matrixV);
+        m_qr.householderQ().applyThisOnTheLeft(svd.m_matrixV, m_workspace);
       }
-      if(svd.computeU()) svd.m_matrixU = qr.colsPermutation();
+      if(svd.computeU()) svd.m_matrixU = m_qr.colsPermutation();
       return true;
     }
     else return false;
   }
+
+private:
+  ColPivHouseholderQR<TransposeTypeWithSameStorageOrder> m_qr;
+  TransposeTypeWithSameStorageOrder m_adjoint;
+  typename internal::plain_row_type<MatrixType>::type m_workspace;
 };
 
 /*** preconditioner using HouseholderQR ***/
 
 template<typename MatrixType>
-struct qr_preconditioner_impl<MatrixType, HouseholderQRPreconditioner, PreconditionIfMoreRowsThanCols, true>
+class qr_preconditioner_impl<MatrixType, HouseholderQRPreconditioner, PreconditionIfMoreRowsThanCols, true>
 {
-  static bool run(JacobiSVD<MatrixType, HouseholderQRPreconditioner>& svd, const MatrixType& matrix)
+public:
+  typedef typename MatrixType::Index Index;
+
+  void allocate(const JacobiSVD<MatrixType, HouseholderQRPreconditioner>& svd)
+  {
+    if (svd.rows() != m_qr.rows() || svd.cols() != m_qr.cols())
+    {
+      m_qr = HouseholderQR<MatrixType>(svd.rows(), svd.cols());
+    }
+    if (svd.m_computeFullU) m_workspace.resize(svd.rows());
+    else if (svd.m_computeThinU) m_workspace.resize(svd.cols());
+  }
+
+  bool run(JacobiSVD<MatrixType, HouseholderQRPreconditioner>& svd, const MatrixType& matrix)
   {
     if(matrix.rows() > matrix.cols())
     {
-      HouseholderQR<MatrixType> qr(matrix);
-      svd.m_workMatrix = qr.matrixQR().block(0,0,matrix.cols(),matrix.cols()).template triangularView<Upper>();
-      if(svd.m_computeFullU) svd.m_matrixU = qr.householderQ();
-      else if(svd.m_computeThinU) {
+      m_qr.compute(matrix);
+      svd.m_workMatrix = m_qr.matrixQR().block(0,0,matrix.cols(),matrix.cols()).template triangularView<Upper>();
+      if(svd.m_computeFullU) m_qr.householderQ().evalTo(svd.m_matrixU, m_workspace);
+      else if(svd.m_computeThinU)
+      {
         svd.m_matrixU.setIdentity(matrix.rows(), matrix.cols());
-        qr.householderQ().applyThisOnTheLeft(svd.m_matrixU);
+        m_qr.householderQ().applyThisOnTheLeft(svd.m_matrixU, m_workspace);
       }
       if(svd.computeV()) svd.m_matrixV.setIdentity(matrix.cols(), matrix.cols());
       return true;
     }
     return false;
   }
+private:
+  HouseholderQR<MatrixType> m_qr;
+  typename internal::plain_col_type<MatrixType>::type m_workspace;
 };
 
 template<typename MatrixType>
-struct qr_preconditioner_impl<MatrixType, HouseholderQRPreconditioner, PreconditionIfMoreColsThanRows, true>
+class qr_preconditioner_impl<MatrixType, HouseholderQRPreconditioner, PreconditionIfMoreColsThanRows, true>
 {
-  static bool run(JacobiSVD<MatrixType, HouseholderQRPreconditioner>& svd, const MatrixType& matrix)
+public:
+  typedef typename MatrixType::Index Index;
+  typedef typename MatrixType::Scalar Scalar;
+  enum
+  {
+    RowsAtCompileTime = MatrixType::RowsAtCompileTime,
+    ColsAtCompileTime = MatrixType::ColsAtCompileTime,
+    MaxRowsAtCompileTime = MatrixType::MaxRowsAtCompileTime,
+    MaxColsAtCompileTime = MatrixType::MaxColsAtCompileTime,
+    Options = MatrixType::Options
+  };
+
+  typedef Matrix<Scalar, ColsAtCompileTime, RowsAtCompileTime, Options, MaxColsAtCompileTime, MaxRowsAtCompileTime>
+          TransposeTypeWithSameStorageOrder;
+
+  void allocate(const JacobiSVD<MatrixType, HouseholderQRPreconditioner>& svd)
+  {
+    if (svd.cols() != m_qr.rows() || svd.rows() != m_qr.cols())
+    {
+      m_qr = HouseholderQR<TransposeTypeWithSameStorageOrder>(svd.cols(), svd.rows());
+    }
+    if (svd.m_computeFullV) m_workspace.resize(svd.cols());
+    else if (svd.m_computeThinV) m_workspace.resize(svd.rows());
+    m_adjoint.resize(svd.cols(), svd.rows());
+  }
+
+  bool run(JacobiSVD<MatrixType, HouseholderQRPreconditioner>& svd, const MatrixType& matrix)
   {
     if(matrix.cols() > matrix.rows())
     {
-      typedef Matrix<typename MatrixType::Scalar, MatrixType::ColsAtCompileTime, MatrixType::RowsAtCompileTime,
-                     MatrixType::Options, MatrixType::MaxColsAtCompileTime, MatrixType::MaxRowsAtCompileTime>
-              TransposeTypeWithSameStorageOrder;
-      HouseholderQR<TransposeTypeWithSameStorageOrder> qr(matrix.adjoint());
-      svd.m_workMatrix = qr.matrixQR().block(0,0,matrix.rows(),matrix.rows()).template triangularView<Upper>().adjoint();
-      if(svd.m_computeFullV) svd.m_matrixV = qr.householderQ();
-      else if(svd.m_computeThinV) {
+      m_adjoint = matrix.adjoint();
+      m_qr.compute(m_adjoint);
+
+      svd.m_workMatrix = m_qr.matrixQR().block(0,0,matrix.rows(),matrix.rows()).template triangularView<Upper>().adjoint();
+      if(svd.m_computeFullV) m_qr.householderQ().evalTo(svd.m_matrixV, m_workspace);
+      else if(svd.m_computeThinV)
+      {
         svd.m_matrixV.setIdentity(matrix.cols(), matrix.rows());
-        qr.householderQ().applyThisOnTheLeft(svd.m_matrixV);
+        m_qr.householderQ().applyThisOnTheLeft(svd.m_matrixV, m_workspace);
       }
       if(svd.computeU()) svd.m_matrixU.setIdentity(matrix.rows(), matrix.rows());
       return true;
     }
     else return false;
   }
+
+private:
+  HouseholderQR<TransposeTypeWithSameStorageOrder> m_qr;
+  TransposeTypeWithSameStorageOrder m_adjoint;
+  typename internal::plain_row_type<MatrixType>::type m_workspace;
 };
 
 /*** 2x2 SVD implementation
@@ -316,7 +466,7 @@ void real_2x2_jacobi_svd(const MatrixType& matrix, Index p, Index q,
   * Here's an example demonstrating basic usage:
   * \include JacobiSVD_basic.cpp
   * Output: \verbinclude JacobiSVD_basic.out
-  * 
+  *
   * This JacobiSVD class is a two-sided Jacobi R-SVD decomposition, ensuring optimal reliability and accuracy. The downside is that it's slower than
   * bidiagonalizing SVD algorithms for large square matrices; however its complexity is still \f$ O(n^2p) \f$ where \a n is the smaller dimension and
   * \a p is the greater dimension, meaning that it is still of the same order of complexity as the faster bidiagonalizing R-SVD algorithms.
@@ -324,7 +474,7 @@ void real_2x2_jacobi_svd(const MatrixType& matrix, Index p, Index q,
   *
   * If the input matrix has inf or nan coefficients, the result of the computation is undefined, but the computation is guaranteed to
   * terminate in finite (and reasonable) time.
-  * 
+  *
   * The possible values for QRPreconditioner are:
   * \li ColPivHouseholderQRPreconditioner is the default. In practice it's very safe. It uses column-pivoting QR.
   * \li FullPivHouseholderQRPreconditioner, is the safest and slowest. It uses full-pivoting QR.
@@ -494,7 +644,7 @@ template<typename _MatrixType, int QRPreconditioner> class JacobiSVD
       * \param b the right-hand-side of the equation to solve.
       *
       * \note Solving requires both U and V to be computed. Thin U and V are enough, there is no need for full U or V.
-      * 
+      *
       * \note SVD solving is implicitly least-squares. Thus, this method serves both purposes of exact solving and least-squares solving.
       * In other words, the returned solution is guaranteed to minimize the Euclidean norm \f$ \Vert A x - b \Vert \f$.
       */
@@ -535,6 +685,9 @@ template<typename _MatrixType, int QRPreconditioner> class JacobiSVD
     friend struct internal::svd_precondition_2x2_block_to_be_real;
     template<typename __MatrixType, int _QRPreconditioner, int _Case, bool _DoAnything>
     friend struct internal::qr_preconditioner_impl;
+
+    internal::qr_preconditioner_impl<MatrixType, QRPreconditioner, internal::PreconditionIfMoreColsThanRows> m_qr_precond_morecols;
+    internal::qr_preconditioner_impl<MatrixType, QRPreconditioner, internal::PreconditionIfMoreRowsThanCols> m_qr_precond_morerows;
 };
 
 template<typename MatrixType, int QRPreconditioner>
@@ -578,6 +731,9 @@ void JacobiSVD<MatrixType, QRPreconditioner>::allocate(Index rows, Index cols, u
                           : m_computeThinV ? m_diagSize
                           : 0);
   m_workMatrix.resize(m_diagSize, m_diagSize);
+  
+  m_qr_precond_morecols.allocate(*this);
+  m_qr_precond_morerows.allocate(*this);
 }
 
 template<typename MatrixType, int QRPreconditioner>
@@ -595,8 +751,7 @@ JacobiSVD<MatrixType, QRPreconditioner>::compute(const MatrixType& matrix, unsig
 
   /*** step 1. The R-SVD step: we use a QR decomposition to reduce to the case of a square matrix */
 
-  if(!internal::qr_preconditioner_impl<MatrixType, QRPreconditioner, internal::PreconditionIfMoreColsThanRows>::run(*this, matrix)
-  && !internal::qr_preconditioner_impl<MatrixType, QRPreconditioner, internal::PreconditionIfMoreRowsThanCols>::run(*this, matrix))
+  if(!m_qr_precond_morecols.run(*this, matrix) && !m_qr_precond_morerows.run(*this, matrix))
   {
     m_workMatrix = matrix.block(0,0,m_diagSize,m_diagSize);
     if(m_computeFullU) m_matrixU.setIdentity(m_rows,m_rows);
@@ -722,6 +877,6 @@ MatrixBase<Derived>::jacobiSvd(unsigned int computationOptions) const
   return JacobiSVD<PlainObject>(*this, computationOptions);
 }
 
-
+} // end namespace Eigen
 
 #endif // EIGEN_JACOBISVD_H
diff --git a/extern/Eigen3/Eigen/src/SVD/UpperBidiagonalization.h b/extern/Eigen3/Eigen/src/SVD/UpperBidiagonalization.h
index 2de197da953..1ad656ebe52 100644
--- a/extern/Eigen3/Eigen/src/SVD/UpperBidiagonalization.h
+++ b/extern/Eigen3/Eigen/src/SVD/UpperBidiagonalization.h
@@ -25,6 +25,8 @@
 #ifndef EIGEN_BIDIAGONALIZATION_H
 #define EIGEN_BIDIAGONALIZATION_H
 
+namespace Eigen { 
+
 namespace internal {
 // UpperBidiagonalization will probably be replaced by a Bidiagonalization class, don't want to make it stable API.
 // At the same time, it's useful to keep for now as it's about the only thing that is testing the BandMatrix class.
@@ -156,4 +158,6 @@ MatrixBase<Derived>::bidiagonalization() const
 
 } // end namespace internal
 
+} // end namespace Eigen
+
 #endif // EIGEN_BIDIAGONALIZATION_H
diff --git a/extern/Eigen3/Eigen/src/Sparse/AmbiVector.h b/extern/Eigen3/Eigen/src/Sparse/AmbiVector.h
deleted file mode 100644
index 2ea8ba3096b..00000000000
--- a/extern/Eigen3/Eigen/src/Sparse/AmbiVector.h
+++ /dev/null
@@ -1,379 +0,0 @@
-// This file is part of Eigen, a lightweight C++ template library
-// for linear algebra.
-//
-// Copyright (C) 2008 Gael Guennebaud <gael.guennebaud@inria.fr>
-//
-// Eigen is free software; you can redistribute it and/or
-// modify it under the terms of the GNU Lesser General Public
-// License as published by the Free Software Foundation; either
-// version 3 of the License, or (at your option) any later version.
-//
-// Alternatively, you can redistribute it and/or
-// modify it under the terms of the GNU General Public License as
-// published by the Free Software Foundation; either version 2 of
-// the License, or (at your option) any later version.
-//
-// Eigen is distributed in the hope that it will be useful, but WITHOUT ANY
-// WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS
-// FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License or the
-// GNU General Public License for more details.
-//
-// You should have received a copy of the GNU Lesser General Public
-// License and a copy of the GNU General Public License along with
-// Eigen. If not, see <http://www.gnu.org/licenses/>.
-
-#ifndef EIGEN_AMBIVECTOR_H
-#define EIGEN_AMBIVECTOR_H
-
-/** \internal
-  * Hybrid sparse/dense vector class designed for intensive read-write operations.
-  *
-  * See BasicSparseLLT and SparseProduct for usage examples.
-  */
-template<typename _Scalar, typename _Index>
-class AmbiVector
-{
-  public:
-    typedef _Scalar Scalar;
-    typedef _Index Index;
-    typedef typename NumTraits<Scalar>::Real RealScalar;
-
-    AmbiVector(Index size)
-      : m_buffer(0), m_zero(0), m_size(0), m_allocatedSize(0), m_allocatedElements(0), m_mode(-1)
-    {
-      resize(size);
-    }
-
-    void init(double estimatedDensity);
-    void init(int mode);
-
-    Index nonZeros() const;
-
-    /** Specifies a sub-vector to work on */
-    void setBounds(Index start, Index end) { m_start = start; m_end = end; }
-
-    void setZero();
-
-    void restart();
-    Scalar& coeffRef(Index i);
-    Scalar& coeff(Index i);
-
-    class Iterator;
-
-    ~AmbiVector() { delete[] m_buffer; }
-
-    void resize(Index size)
-    {
-      if (m_allocatedSize < size)
-        reallocate(size);
-      m_size = size;
-    }
-
-    Index size() const { return m_size; }
-
-  protected:
-
-    void reallocate(Index size)
-    {
-      // if the size of the matrix is not too large, let's allocate a bit more than needed such
-      // that we can handle dense vector even in sparse mode.
-      delete[] m_buffer;
-      if (size<1000)
-      {
-        Index allocSize = (size * sizeof(ListEl))/sizeof(Scalar);
-        m_allocatedElements = (allocSize*sizeof(Scalar))/sizeof(ListEl);
-        m_buffer = new Scalar[allocSize];
-      }
-      else
-      {
-        m_allocatedElements = (size*sizeof(Scalar))/sizeof(ListEl);
-        m_buffer = new Scalar[size];
-      }
-      m_size = size;
-      m_start = 0;
-      m_end = m_size;
-    }
-
-    void reallocateSparse()
-    {
-      Index copyElements = m_allocatedElements;
-      m_allocatedElements = (std::min)(Index(m_allocatedElements*1.5),m_size);
-      Index allocSize = m_allocatedElements * sizeof(ListEl);
-      allocSize = allocSize/sizeof(Scalar) + (allocSize%sizeof(Scalar)>0?1:0);
-      Scalar* newBuffer = new Scalar[allocSize];
-      memcpy(newBuffer,  m_buffer,  copyElements * sizeof(ListEl));
-      delete[] m_buffer;
-      m_buffer = newBuffer;
-    }
-
-  protected:
-    // element type of the linked list
-    struct ListEl
-    {
-      Index next;
-      Index index;
-      Scalar value;
-    };
-
-    // used to store data in both mode
-    Scalar* m_buffer;
-    Scalar m_zero;
-    Index m_size;
-    Index m_start;
-    Index m_end;
-    Index m_allocatedSize;
-    Index m_allocatedElements;
-    Index m_mode;
-
-    // linked list mode
-    Index m_llStart;
-    Index m_llCurrent;
-    Index m_llSize;
-};
-
-/** \returns the number of non zeros in the current sub vector */
-template<typename _Scalar,typename _Index>
-_Index AmbiVector<_Scalar,_Index>::nonZeros() const
-{
-  if (m_mode==IsSparse)
-    return m_llSize;
-  else
-    return m_end - m_start;
-}
-
-template<typename _Scalar,typename _Index>
-void AmbiVector<_Scalar,_Index>::init(double estimatedDensity)
-{
-  if (estimatedDensity>0.1)
-    init(IsDense);
-  else
-    init(IsSparse);
-}
-
-template<typename _Scalar,typename _Index>
-void AmbiVector<_Scalar,_Index>::init(int mode)
-{
-  m_mode = mode;
-  if (m_mode==IsSparse)
-  {
-    m_llSize = 0;
-    m_llStart = -1;
-  }
-}
-
-/** Must be called whenever we might perform a write access
-  * with an index smaller than the previous one.
-  *
-  * Don't worry, this function is extremely cheap.
-  */
-template<typename _Scalar,typename _Index>
-void AmbiVector<_Scalar,_Index>::restart()
-{
-  m_llCurrent = m_llStart;
-}
-
-/** Set all coefficients of current subvector to zero */
-template<typename _Scalar,typename _Index>
-void AmbiVector<_Scalar,_Index>::setZero()
-{
-  if (m_mode==IsDense)
-  {
-    for (Index i=m_start; i<m_end; ++i)
-      m_buffer[i] = Scalar(0);
-  }
-  else
-  {
-    eigen_assert(m_mode==IsSparse);
-    m_llSize = 0;
-    m_llStart = -1;
-  }
-}
-
-template<typename _Scalar,typename _Index>
-_Scalar& AmbiVector<_Scalar,_Index>::coeffRef(_Index i)
-{
-  if (m_mode==IsDense)
-    return m_buffer[i];
-  else
-  {
-    ListEl* EIGEN_RESTRICT llElements = reinterpret_cast<ListEl*>(m_buffer);
-    // TODO factorize the following code to reduce code generation
-    eigen_assert(m_mode==IsSparse);
-    if (m_llSize==0)
-    {
-      // this is the first element
-      m_llStart = 0;
-      m_llCurrent = 0;
-      ++m_llSize;
-      llElements[0].value = Scalar(0);
-      llElements[0].index = i;
-      llElements[0].next = -1;
-      return llElements[0].value;
-    }
-    else if (i<llElements[m_llStart].index)
-    {
-      // this is going to be the new first element of the list
-      ListEl& el = llElements[m_llSize];
-      el.value = Scalar(0);
-      el.index = i;
-      el.next = m_llStart;
-      m_llStart = m_llSize;
-      ++m_llSize;
-      m_llCurrent = m_llStart;
-      return el.value;
-    }
-    else
-    {
-      Index nextel = llElements[m_llCurrent].next;
-      eigen_assert(i>=llElements[m_llCurrent].index && "you must call restart() before inserting an element with lower or equal index");
-      while (nextel >= 0 && llElements[nextel].index<=i)
-      {
-        m_llCurrent = nextel;
-        nextel = llElements[nextel].next;
-      }
-
-      if (llElements[m_llCurrent].index==i)
-      {
-        // the coefficient already exists and we found it !
-        return llElements[m_llCurrent].value;
-      }
-      else
-      {
-        if (m_llSize>=m_allocatedElements)
-        {
-          reallocateSparse();
-          llElements = reinterpret_cast<ListEl*>(m_buffer);
-        }
-        eigen_internal_assert(m_llSize<m_allocatedElements && "internal error: overflow in sparse mode");
-        // let's insert a new coefficient
-        ListEl& el = llElements[m_llSize];
-        el.value = Scalar(0);
-        el.index = i;
-        el.next = llElements[m_llCurrent].next;
-        llElements[m_llCurrent].next = m_llSize;
-        ++m_llSize;
-        return el.value;
-      }
-    }
-  }
-}
-
-template<typename _Scalar,typename _Index>
-_Scalar& AmbiVector<_Scalar,_Index>::coeff(_Index i)
-{
-  if (m_mode==IsDense)
-    return m_buffer[i];
-  else
-  {
-    ListEl* EIGEN_RESTRICT llElements = reinterpret_cast<ListEl*>(m_buffer);
-    eigen_assert(m_mode==IsSparse);
-    if ((m_llSize==0) || (i<llElements[m_llStart].index))
-    {
-      return m_zero;
-    }
-    else
-    {
-      Index elid = m_llStart;
-      while (elid >= 0 && llElements[elid].index<i)
-        elid = llElements[elid].next;
-
-      if (llElements[elid].index==i)
-        return llElements[m_llCurrent].value;
-      else
-        return m_zero;
-    }
-  }
-}
-
-/** Iterator over the nonzero coefficients */
-template<typename _Scalar,typename _Index>
-class AmbiVector<_Scalar,_Index>::Iterator
-{
-  public:
-    typedef _Scalar Scalar;
-    typedef typename NumTraits<Scalar>::Real RealScalar;
-
-    /** Default constructor
-      * \param vec the vector on which we iterate
-      * \param epsilon the minimal value used to prune zero coefficients.
-      * In practice, all coefficients having a magnitude smaller than \a epsilon
-      * are skipped.
-      */
-    Iterator(const AmbiVector& vec, RealScalar epsilon = RealScalar(0.1)*NumTraits<RealScalar>::dummy_precision())
-      : m_vector(vec)
-    {
-      m_epsilon = epsilon;
-      m_isDense = m_vector.m_mode==IsDense;
-      if (m_isDense)
-      {
-        m_currentEl = 0;   // this is to avoid a compilation warning
-        m_cachedValue = 0; // this is to avoid a compilation warning
-        m_cachedIndex = m_vector.m_start-1;
-        ++(*this);
-      }
-      else
-      {
-        ListEl* EIGEN_RESTRICT llElements = reinterpret_cast<ListEl*>(m_vector.m_buffer);
-        m_currentEl = m_vector.m_llStart;
-        while (m_currentEl>=0 && internal::abs(llElements[m_currentEl].value)<m_epsilon)
-          m_currentEl = llElements[m_currentEl].next;
-        if (m_currentEl<0)
-        {
-          m_cachedValue = 0; // this is to avoid a compilation warning
-          m_cachedIndex = -1;
-        }
-        else
-        {
-          m_cachedIndex = llElements[m_currentEl].index;
-          m_cachedValue = llElements[m_currentEl].value;
-        }
-      }
-    }
-
-    Index index() const { return m_cachedIndex; }
-    Scalar value() const { return m_cachedValue; }
-
-    operator bool() const { return m_cachedIndex>=0; }
-
-    Iterator& operator++()
-    {
-      if (m_isDense)
-      {
-        do {
-          ++m_cachedIndex;
-        } while (m_cachedIndex<m_vector.m_end && internal::abs(m_vector.m_buffer[m_cachedIndex])<m_epsilon);
-        if (m_cachedIndex<m_vector.m_end)
-          m_cachedValue = m_vector.m_buffer[m_cachedIndex];
-        else
-          m_cachedIndex=-1;
-      }
-      else
-      {
-        ListEl* EIGEN_RESTRICT llElements = reinterpret_cast<ListEl*>(m_vector.m_buffer);
-        do {
-          m_currentEl = llElements[m_currentEl].next;
-        } while (m_currentEl>=0 && internal::abs(llElements[m_currentEl].value)<m_epsilon);
-        if (m_currentEl<0)
-        {
-          m_cachedIndex = -1;
-        }
-        else
-        {
-          m_cachedIndex = llElements[m_currentEl].index;
-          m_cachedValue = llElements[m_currentEl].value;
-        }
-      }
-      return *this;
-    }
-
-  protected:
-    const AmbiVector& m_vector; // the target vector
-    Index m_currentEl;            // the current element in sparse/linked-list mode
-    RealScalar m_epsilon;       // epsilon used to prune zero coefficients
-    Index m_cachedIndex;          // current coordinate
-    Scalar m_cachedValue;       // current value
-    bool m_isDense;             // mode of the vector
-};
-
-
-#endif // EIGEN_AMBIVECTOR_H
diff --git a/extern/Eigen3/Eigen/src/Sparse/CompressedStorage.h b/extern/Eigen3/Eigen/src/Sparse/CompressedStorage.h
deleted file mode 100644
index b3bde272ec2..00000000000
--- a/extern/Eigen3/Eigen/src/Sparse/CompressedStorage.h
+++ /dev/null
@@ -1,239 +0,0 @@
-// This file is part of Eigen, a lightweight C++ template library
-// for linear algebra.
-//
-// Copyright (C) 2008 Gael Guennebaud <gael.guennebaud@inria.fr>
-//
-// Eigen is free software; you can redistribute it and/or
-// modify it under the terms of the GNU Lesser General Public
-// License as published by the Free Software Foundation; either
-// version 3 of the License, or (at your option) any later version.
-//
-// Alternatively, you can redistribute it and/or
-// modify it under the terms of the GNU General Public License as
-// published by the Free Software Foundation; either version 2 of
-// the License, or (at your option) any later version.
-//
-// Eigen is distributed in the hope that it will be useful, but WITHOUT ANY
-// WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS
-// FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License or the
-// GNU General Public License for more details.
-//
-// You should have received a copy of the GNU Lesser General Public
-// License and a copy of the GNU General Public License along with
-// Eigen. If not, see <http://www.gnu.org/licenses/>.
-
-#ifndef EIGEN_COMPRESSED_STORAGE_H
-#define EIGEN_COMPRESSED_STORAGE_H
-
-/** Stores a sparse set of values as a list of values and a list of indices.
-  *
-  */
-template<typename _Scalar,typename _Index>
-class CompressedStorage
-{
-  public:
-
-    typedef _Scalar Scalar;
-    typedef _Index Index;
-
-  protected:
-
-    typedef typename NumTraits<Scalar>::Real RealScalar;
-
-  public:
-
-    CompressedStorage()
-      : m_values(0), m_indices(0), m_size(0), m_allocatedSize(0)
-    {}
-
-    CompressedStorage(size_t size)
-      : m_values(0), m_indices(0), m_size(0), m_allocatedSize(0)
-    {
-      resize(size);
-    }
-
-    CompressedStorage(const CompressedStorage& other)
-      : m_values(0), m_indices(0), m_size(0), m_allocatedSize(0)
-    {
-      *this = other;
-    }
-
-    CompressedStorage& operator=(const CompressedStorage& other)
-    {
-      resize(other.size());
-      memcpy(m_values, other.m_values, m_size * sizeof(Scalar));
-      memcpy(m_indices, other.m_indices, m_size * sizeof(Index));
-      return *this;
-    }
-
-    void swap(CompressedStorage& other)
-    {
-      std::swap(m_values, other.m_values);
-      std::swap(m_indices, other.m_indices);
-      std::swap(m_size, other.m_size);
-      std::swap(m_allocatedSize, other.m_allocatedSize);
-    }
-
-    ~CompressedStorage()
-    {
-      delete[] m_values;
-      delete[] m_indices;
-    }
-
-    void reserve(size_t size)
-    {
-      size_t newAllocatedSize = m_size + size;
-      if (newAllocatedSize > m_allocatedSize)
-        reallocate(newAllocatedSize);
-    }
-
-    void squeeze()
-    {
-      if (m_allocatedSize>m_size)
-        reallocate(m_size);
-    }
-
-    void resize(size_t size, float reserveSizeFactor = 0)
-    {
-      if (m_allocatedSize<size)
-        reallocate(size + size_t(reserveSizeFactor*size));
-      m_size = size;
-    }
-
-    void append(const Scalar& v, Index i)
-    {
-      Index id = static_cast<Index>(m_size);
-      resize(m_size+1, 1);
-      m_values[id] = v;
-      m_indices[id] = i;
-    }
-
-    inline size_t size() const { return m_size; }
-    inline size_t allocatedSize() const { return m_allocatedSize; }
-    inline void clear() { m_size = 0; }
-
-    inline Scalar& value(size_t i) { return m_values[i]; }
-    inline const Scalar& value(size_t i) const { return m_values[i]; }
-
-    inline Index& index(size_t i) { return m_indices[i]; }
-    inline const Index& index(size_t i) const { return m_indices[i]; }
-
-    static CompressedStorage Map(Index* indices, Scalar* values, size_t size)
-    {
-      CompressedStorage res;
-      res.m_indices = indices;
-      res.m_values = values;
-      res.m_allocatedSize = res.m_size = size;
-      return res;
-    }
-
-    /** \returns the largest \c k such that for all \c j in [0,k) index[\c j]\<\a key */
-    inline Index searchLowerIndex(Index key) const
-    {
-      return searchLowerIndex(0, m_size, key);
-    }
-
-    /** \returns the largest \c k in [start,end) such that for all \c j in [start,k) index[\c j]\<\a key */
-    inline Index searchLowerIndex(size_t start, size_t end, Index key) const
-    {
-      while(end>start)
-      {
-        size_t mid = (end+start)>>1;
-        if (m_indices[mid]<key)
-          start = mid+1;
-        else
-          end = mid;
-      }
-      return static_cast<Index>(start);
-    }
-
-    /** \returns the stored value at index \a key
-      * If the value does not exist, then the value \a defaultValue is returned without any insertion. */
-    inline Scalar at(Index key, Scalar defaultValue = Scalar(0)) const
-    {
-      if (m_size==0)
-        return defaultValue;
-      else if (key==m_indices[m_size-1])
-        return m_values[m_size-1];
-      // ^^  optimization: let's first check if it is the last coefficient
-      // (very common in high level algorithms)
-      const size_t id = searchLowerIndex(0,m_size-1,key);
-      return ((id<m_size) && (m_indices[id]==key)) ? m_values[id] : defaultValue;
-    }
-
-    /** Like at(), but the search is performed in the range [start,end) */
-    inline Scalar atInRange(size_t start, size_t end, Index key, Scalar defaultValue = Scalar(0)) const
-    {
-      if (start>=end)
-        return Scalar(0);
-      else if (end>start && key==m_indices[end-1])
-        return m_values[end-1];
-      // ^^  optimization: let's first check if it is the last coefficient
-      // (very common in high level algorithms)
-      const size_t id = searchLowerIndex(start,end-1,key);
-      return ((id<end) && (m_indices[id]==key)) ? m_values[id] : defaultValue;
-    }
-
-    /** \returns a reference to the value at index \a key
-      * If the value does not exist, then the value \a defaultValue is inserted
-      * such that the keys are sorted. */
-    inline Scalar& atWithInsertion(Index key, Scalar defaultValue = Scalar(0))
-    {
-      size_t id = searchLowerIndex(0,m_size,key);
-      if (id>=m_size || m_indices[id]!=key)
-      {
-        resize(m_size+1,1);
-        for (size_t j=m_size-1; j>id; --j)
-        {
-          m_indices[j] = m_indices[j-1];
-          m_values[j] = m_values[j-1];
-        }
-        m_indices[id] = key;
-        m_values[id] = defaultValue;
-      }
-      return m_values[id];
-    }
-
-    void prune(Scalar reference, RealScalar epsilon = NumTraits<RealScalar>::dummy_precision())
-    {
-      size_t k = 0;
-      size_t n = size();
-      for (size_t i=0; i<n; ++i)
-      {
-        if (!internal::isMuchSmallerThan(value(i), reference, epsilon))
-        {
-          value(k) = value(i);
-          index(k) = index(i);
-          ++k;
-        }
-      }
-      resize(k,0);
-    }
-
-  protected:
-
-    inline void reallocate(size_t size)
-    {
-      Scalar* newValues  = new Scalar[size];
-      Index* newIndices = new Index[size];
-      size_t copySize = (std::min)(size, m_size);
-      // copy
-      memcpy(newValues,  m_values,  copySize * sizeof(Scalar));
-      memcpy(newIndices, m_indices, copySize * sizeof(Index));
-      // delete old stuff
-      delete[] m_values;
-      delete[] m_indices;
-      m_values = newValues;
-      m_indices = newIndices;
-      m_allocatedSize = size;
-    }
-
-  protected:
-    Scalar* m_values;
-    Index* m_indices;
-    size_t m_size;
-    size_t m_allocatedSize;
-
-};
-
-#endif // EIGEN_COMPRESSED_STORAGE_H
diff --git a/extern/Eigen3/Eigen/src/Sparse/CoreIterators.h b/extern/Eigen3/Eigen/src/Sparse/CoreIterators.h
deleted file mode 100644
index b4beaeee69e..00000000000
--- a/extern/Eigen3/Eigen/src/Sparse/CoreIterators.h
+++ /dev/null
@@ -1,71 +0,0 @@
-// This file is part of Eigen, a lightweight C++ template library
-// for linear algebra.
-//
-// Copyright (C) 2008-2010 Gael Guennebaud <gael.guennebaud@inria.fr>
-//
-// Eigen is free software; you can redistribute it and/or
-// modify it under the terms of the GNU Lesser General Public
-// License as published by the Free Software Foundation; either
-// version 3 of the License, or (at your option) any later version.
-//
-// Alternatively, you can redistribute it and/or
-// modify it under the terms of the GNU General Public License as
-// published by the Free Software Foundation; either version 2 of
-// the License, or (at your option) any later version.
-//
-// Eigen is distributed in the hope that it will be useful, but WITHOUT ANY
-// WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS
-// FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License or the
-// GNU General Public License for more details.
-//
-// You should have received a copy of the GNU Lesser General Public
-// License and a copy of the GNU General Public License along with
-// Eigen. If not, see <http://www.gnu.org/licenses/>.
-
-#ifndef EIGEN_COREITERATORS_H
-#define EIGEN_COREITERATORS_H
-
-/* This file contains the respective InnerIterator definition of the expressions defined in Eigen/Core
- */
-
-/** \class InnerIterator
-  * \brief An InnerIterator allows to loop over the element of a sparse (or dense) matrix or expression
-  *
-  * todo
-  */
-
-// generic version for dense matrix and expressions
-template<typename Derived> class DenseBase<Derived>::InnerIterator
-{
-  protected:
-    typedef typename Derived::Scalar Scalar;
-    typedef typename Derived::Index Index;
-
-    enum { IsRowMajor = (Derived::Flags&RowMajorBit)==RowMajorBit };
-  public:
-    EIGEN_STRONG_INLINE InnerIterator(const Derived& expr, Index outer)
-      : m_expression(expr), m_inner(0), m_outer(outer), m_end(expr.innerSize())
-    {}
-
-    EIGEN_STRONG_INLINE Scalar value() const
-    {
-      return (IsRowMajor) ? m_expression.coeff(m_outer, m_inner)
-                          : m_expression.coeff(m_inner, m_outer);
-    }
-
-    EIGEN_STRONG_INLINE InnerIterator& operator++() { m_inner++; return *this; }
-
-    EIGEN_STRONG_INLINE Index index() const { return m_inner; }
-    inline Index row() const { return IsRowMajor ? m_outer : index(); }
-    inline Index col() const { return IsRowMajor ? index() : m_outer; }
-
-    EIGEN_STRONG_INLINE operator bool() const { return m_inner < m_end && m_inner>=0; }
-
-  protected:
-    const Derived& m_expression;
-    Index m_inner;
-    const Index m_outer;
-    const Index m_end;
-};
-
-#endif // EIGEN_COREITERATORS_H
diff --git a/extern/Eigen3/Eigen/src/Sparse/DynamicSparseMatrix.h b/extern/Eigen3/Eigen/src/Sparse/DynamicSparseMatrix.h
deleted file mode 100644
index 93e75f4c601..00000000000
--- a/extern/Eigen3/Eigen/src/Sparse/DynamicSparseMatrix.h
+++ /dev/null
@@ -1,346 +0,0 @@
-// This file is part of Eigen, a lightweight C++ template library
-// for linear algebra.
-//
-// Copyright (C) 2008-2009 Gael Guennebaud <gael.guennebaud@inria.fr>
-//
-// Eigen is free software; you can redistribute it and/or
-// modify it under the terms of the GNU Lesser General Public
-// License as published by the Free Software Foundation; either
-// version 3 of the License, or (at your option) any later version.
-//
-// Alternatively, you can redistribute it and/or
-// modify it under the terms of the GNU General Public License as
-// published by the Free Software Foundation; either version 2 of
-// the License, or (at your option) any later version.
-//
-// Eigen is distributed in the hope that it will be useful, but WITHOUT ANY
-// WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS
-// FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License or the
-// GNU General Public License for more details.
-//
-// You should have received a copy of the GNU Lesser General Public
-// License and a copy of the GNU General Public License along with
-// Eigen. If not, see <http://www.gnu.org/licenses/>.
-
-#ifndef EIGEN_DYNAMIC_SPARSEMATRIX_H
-#define EIGEN_DYNAMIC_SPARSEMATRIX_H
-
-/** \class DynamicSparseMatrix
-  *
-  * \brief A sparse matrix class designed for matrix assembly purpose
-  *
-  * \param _Scalar the scalar type, i.e. the type of the coefficients
-  *
-  * Unlike SparseMatrix, this class provides a much higher degree of flexibility. In particular, it allows
-  * random read/write accesses in log(rho*outer_size) where \c rho is the probability that a coefficient is
-  * nonzero and outer_size is the number of columns if the matrix is column-major and the number of rows
-  * otherwise.
-  *
-  * Internally, the data are stored as a std::vector of compressed vector. The performances of random writes might
-  * decrease as the number of nonzeros per inner-vector increase. In practice, we observed very good performance
-  * till about 100 nonzeros/vector, and the performance remains relatively good till 500 nonzeros/vectors.
-  *
-  * \see SparseMatrix
-  */
-
-namespace internal {
-template<typename _Scalar, int _Options, typename _Index>
-struct traits<DynamicSparseMatrix<_Scalar, _Options, _Index> >
-{
-  typedef _Scalar Scalar;
-  typedef _Index Index;
-  typedef Sparse StorageKind;
-  typedef MatrixXpr XprKind;
-  enum {
-    RowsAtCompileTime = Dynamic,
-    ColsAtCompileTime = Dynamic,
-    MaxRowsAtCompileTime = Dynamic,
-    MaxColsAtCompileTime = Dynamic,
-    Flags = _Options | NestByRefBit | LvalueBit,
-    CoeffReadCost = NumTraits<Scalar>::ReadCost,
-    SupportedAccessPatterns = OuterRandomAccessPattern
-  };
-};
-}
-
-template<typename _Scalar, int _Options, typename _Index>
-class DynamicSparseMatrix
-  : public SparseMatrixBase<DynamicSparseMatrix<_Scalar, _Options, _Index> >
-{
-  public:
-    EIGEN_SPARSE_PUBLIC_INTERFACE(DynamicSparseMatrix)
-    // FIXME: why are these operator already alvailable ???
-    // EIGEN_SPARSE_INHERIT_ASSIGNMENT_OPERATOR(DynamicSparseMatrix, +=)
-    // EIGEN_SPARSE_INHERIT_ASSIGNMENT_OPERATOR(DynamicSparseMatrix, -=)
-    typedef MappedSparseMatrix<Scalar,Flags> Map;
-    using Base::IsRowMajor;
-    using Base::operator=;
-    enum {
-      Options = _Options
-    };
-
-  protected:
-
-    typedef DynamicSparseMatrix<Scalar,(Flags&~RowMajorBit)|(IsRowMajor?RowMajorBit:0)> TransposedSparseMatrix;
-
-    Index m_innerSize;
-    std::vector<CompressedStorage<Scalar,Index> > m_data;
-
-  public:
-
-    inline Index rows() const { return IsRowMajor ? outerSize() : m_innerSize; }
-    inline Index cols() const { return IsRowMajor ? m_innerSize : outerSize(); }
-    inline Index innerSize() const { return m_innerSize; }
-    inline Index outerSize() const { return static_cast<Index>(m_data.size()); }
-    inline Index innerNonZeros(Index j) const { return m_data[j].size(); }
-
-    std::vector<CompressedStorage<Scalar,Index> >& _data() { return m_data; }
-    const std::vector<CompressedStorage<Scalar,Index> >& _data() const { return m_data; }
-
-    /** \returns the coefficient value at given position \a row, \a col
-      * This operation involes a log(rho*outer_size) binary search.
-      */
-    inline Scalar coeff(Index row, Index col) const
-    {
-      const Index outer = IsRowMajor ? row : col;
-      const Index inner = IsRowMajor ? col : row;
-      return m_data[outer].at(inner);
-    }
-
-    /** \returns a reference to the coefficient value at given position \a row, \a col
-      * This operation involes a log(rho*outer_size) binary search. If the coefficient does not
-      * exist yet, then a sorted insertion into a sequential buffer is performed.
-      */
-    inline Scalar& coeffRef(Index row, Index col)
-    {
-      const Index outer = IsRowMajor ? row : col;
-      const Index inner = IsRowMajor ? col : row;
-      return m_data[outer].atWithInsertion(inner);
-    }
-
-    class InnerIterator;
-
-    void setZero()
-    {
-      for (Index j=0; j<outerSize(); ++j)
-        m_data[j].clear();
-    }
-
-    /** \returns the number of non zero coefficients */
-    Index nonZeros() const
-    {
-      Index res = 0;
-      for (Index j=0; j<outerSize(); ++j)
-        res += static_cast<Index>(m_data[j].size());
-      return res;
-    }
-
-
-
-    void reserve(Index reserveSize = 1000)
-    {
-      if (outerSize()>0)
-      {
-        Index reserveSizePerVector = (std::max)(reserveSize/outerSize(),Index(4));
-        for (Index j=0; j<outerSize(); ++j)
-        {
-          m_data[j].reserve(reserveSizePerVector);
-        }
-      }
-    }
-
-    /** Does nothing: provided for compatibility with SparseMatrix */
-    inline void startVec(Index /*outer*/) {}
-
-    /** \returns a reference to the non zero coefficient at position \a row, \a col assuming that:
-      * - the nonzero does not already exist
-      * - the new coefficient is the last one of the given inner vector.
-      *
-      * \sa insert, insertBackByOuterInner */
-    inline Scalar& insertBack(Index row, Index col)
-    {
-      return insertBackByOuterInner(IsRowMajor?row:col, IsRowMajor?col:row);
-    }
-
-    /** \sa insertBack */
-    inline Scalar& insertBackByOuterInner(Index outer, Index inner)
-    {
-      eigen_assert(outer<Index(m_data.size()) && inner<m_innerSize && "out of range");
-      eigen_assert(((m_data[outer].size()==0) || (m_data[outer].index(m_data[outer].size()-1)<inner))
-                && "wrong sorted insertion");
-      m_data[outer].append(0, inner);
-      return m_data[outer].value(m_data[outer].size()-1);
-    }
-
-    inline Scalar& insert(Index row, Index col)
-    {
-      const Index outer = IsRowMajor ? row : col;
-      const Index inner = IsRowMajor ? col : row;
-
-      Index startId = 0;
-      Index id = static_cast<Index>(m_data[outer].size()) - 1;
-      m_data[outer].resize(id+2,1);
-
-      while ( (id >= startId) && (m_data[outer].index(id) > inner) )
-      {
-        m_data[outer].index(id+1) = m_data[outer].index(id);
-        m_data[outer].value(id+1) = m_data[outer].value(id);
-        --id;
-      }
-      m_data[outer].index(id+1) = inner;
-      m_data[outer].value(id+1) = 0;
-      return m_data[outer].value(id+1);
-    }
-
-    /** Does nothing: provided for compatibility with SparseMatrix */
-    inline void finalize() {}
-
-    /** Suppress all nonzeros which are smaller than \a reference under the tolerence \a epsilon */
-    void prune(Scalar reference, RealScalar epsilon = NumTraits<RealScalar>::dummy_precision())
-    {
-      for (Index j=0; j<outerSize(); ++j)
-        m_data[j].prune(reference,epsilon);
-    }
-
-    /** Resize the matrix without preserving the data (the matrix is set to zero)
-      */
-    void resize(Index rows, Index cols)
-    {
-      const Index outerSize = IsRowMajor ? rows : cols;
-      m_innerSize = IsRowMajor ? cols : rows;
-      setZero();
-      if (Index(m_data.size()) != outerSize)
-      {
-        m_data.resize(outerSize);
-      }
-    }
-
-    void resizeAndKeepData(Index rows, Index cols)
-    {
-      const Index outerSize = IsRowMajor ? rows : cols;
-      const Index innerSize = IsRowMajor ? cols : rows;
-      if (m_innerSize>innerSize)
-      {
-        // remove all coefficients with innerCoord>=innerSize
-        // TODO
-        //std::cerr << "not implemented yet\n";
-        exit(2);
-      }
-      if (m_data.size() != outerSize)
-      {
-        m_data.resize(outerSize);
-      }
-    }
-
-    inline DynamicSparseMatrix()
-      : m_innerSize(0), m_data(0)
-    {
-      eigen_assert(innerSize()==0 && outerSize()==0);
-    }
-
-    inline DynamicSparseMatrix(Index rows, Index cols)
-      : m_innerSize(0)
-    {
-      resize(rows, cols);
-    }
-
-    template<typename OtherDerived>
-    explicit inline DynamicSparseMatrix(const SparseMatrixBase<OtherDerived>& other)
-      : m_innerSize(0)
-    {
-    Base::operator=(other.derived());
-    }
-
-    inline DynamicSparseMatrix(const DynamicSparseMatrix& other)
-      : Base(), m_innerSize(0)
-    {
-      *this = other.derived();
-    }
-
-    inline void swap(DynamicSparseMatrix& other)
-    {
-      //EIGEN_DBG_SPARSE(std::cout << "SparseMatrix:: swap\n");
-      std::swap(m_innerSize, other.m_innerSize);
-      //std::swap(m_outerSize, other.m_outerSize);
-      m_data.swap(other.m_data);
-    }
-
-    inline DynamicSparseMatrix& operator=(const DynamicSparseMatrix& other)
-    {
-      if (other.isRValue())
-      {
-        swap(other.const_cast_derived());
-      }
-      else
-      {
-        resize(other.rows(), other.cols());
-        m_data = other.m_data;
-      }
-      return *this;
-    }
-
-    /** Destructor */
-    inline ~DynamicSparseMatrix() {}
-
-  public:
-
-    /** \deprecated
-      * Set the matrix to zero and reserve the memory for \a reserveSize nonzero coefficients. */
-    EIGEN_DEPRECATED void startFill(Index reserveSize = 1000)
-    {
-      setZero();
-      reserve(reserveSize);
-    }
-
-    /** \deprecated use insert()
-      * inserts a nonzero coefficient at given coordinates \a row, \a col and returns its reference assuming that:
-      *  1 - the coefficient does not exist yet
-      *  2 - this the coefficient with greater inner coordinate for the given outer coordinate.
-      * In other words, assuming \c *this is column-major, then there must not exists any nonzero coefficient of coordinates
-      * \c i \c x \a col such that \c i >= \a row. Otherwise the matrix is invalid.
-      *
-      * \see fillrand(), coeffRef()
-      */
-    EIGEN_DEPRECATED Scalar& fill(Index row, Index col)
-    {
-      const Index outer = IsRowMajor ? row : col;
-      const Index inner = IsRowMajor ? col : row;
-      return insertBack(outer,inner);
-    }
-
-    /** \deprecated use insert()
-      * Like fill() but with random inner coordinates.
-      * Compared to the generic coeffRef(), the unique limitation is that we assume
-      * the coefficient does not exist yet.
-      */
-    EIGEN_DEPRECATED Scalar& fillrand(Index row, Index col)
-    {
-      return insert(row,col);
-    }
-
-    /** \deprecated use finalize()
-      * Does nothing. Provided for compatibility with SparseMatrix. */
-    EIGEN_DEPRECATED void endFill() {}
-    
-#   ifdef EIGEN_DYNAMICSPARSEMATRIX_PLUGIN
-#     include EIGEN_DYNAMICSPARSEMATRIX_PLUGIN
-#   endif
-};
-
-template<typename Scalar, int _Options, typename _Index>
-class DynamicSparseMatrix<Scalar,_Options,_Index>::InnerIterator : public SparseVector<Scalar,_Options>::InnerIterator
-{
-    typedef typename SparseVector<Scalar,_Options>::InnerIterator Base;
-  public:
-    InnerIterator(const DynamicSparseMatrix& mat, Index outer)
-      : Base(mat.m_data[outer]), m_outer(outer)
-    {}
-
-    inline Index row() const { return IsRowMajor ? m_outer : Base::index(); }
-    inline Index col() const { return IsRowMajor ? Base::index() : m_outer; }
-
-  protected:
-    const Index m_outer;
-};
-
-#endif // EIGEN_DYNAMIC_SPARSEMATRIX_H
diff --git a/extern/Eigen3/Eigen/src/Sparse/MappedSparseMatrix.h b/extern/Eigen3/Eigen/src/Sparse/MappedSparseMatrix.h
deleted file mode 100644
index 31a431fb224..00000000000
--- a/extern/Eigen3/Eigen/src/Sparse/MappedSparseMatrix.h
+++ /dev/null
@@ -1,165 +0,0 @@
-// This file is part of Eigen, a lightweight C++ template library
-// for linear algebra.
-//
-// Copyright (C) 2008 Gael Guennebaud <gael.guennebaud@inria.fr>
-//
-// Eigen is free software; you can redistribute it and/or
-// modify it under the terms of the GNU Lesser General Public
-// License as published by the Free Software Foundation; either
-// version 3 of the License, or (at your option) any later version.
-//
-// Alternatively, you can redistribute it and/or
-// modify it under the terms of the GNU General Public License as
-// published by the Free Software Foundation; either version 2 of
-// the License, or (at your option) any later version.
-//
-// Eigen is distributed in the hope that it will be useful, but WITHOUT ANY
-// WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS
-// FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License or the
-// GNU General Public License for more details.
-//
-// You should have received a copy of the GNU Lesser General Public
-// License and a copy of the GNU General Public License along with
-// Eigen. If not, see <http://www.gnu.org/licenses/>.
-
-#ifndef EIGEN_MAPPED_SPARSEMATRIX_H
-#define EIGEN_MAPPED_SPARSEMATRIX_H
-
-/** \class MappedSparseMatrix
-  *
-  * \brief Sparse matrix
-  *
-  * \param _Scalar the scalar type, i.e. the type of the coefficients
-  *
-  * See http://www.netlib.org/linalg/html_templates/node91.html for details on the storage scheme.
-  *
-  */
-namespace internal {
-template<typename _Scalar, int _Flags, typename _Index>
-struct traits<MappedSparseMatrix<_Scalar, _Flags, _Index> > : traits<SparseMatrix<_Scalar, _Flags, _Index> >
-{};
-}
-
-template<typename _Scalar, int _Flags, typename _Index>
-class MappedSparseMatrix
-  : public SparseMatrixBase<MappedSparseMatrix<_Scalar, _Flags, _Index> >
-{
-  public:
-    EIGEN_SPARSE_PUBLIC_INTERFACE(MappedSparseMatrix)
-
-  protected:
-    enum { IsRowMajor = Base::IsRowMajor };
-
-    Index   m_outerSize;
-    Index   m_innerSize;
-    Index   m_nnz;
-    Index*  m_outerIndex;
-    Index*  m_innerIndices;
-    Scalar* m_values;
-
-  public:
-
-    inline Index rows() const { return IsRowMajor ? m_outerSize : m_innerSize; }
-    inline Index cols() const { return IsRowMajor ? m_innerSize : m_outerSize; }
-    inline Index innerSize() const { return m_innerSize; }
-    inline Index outerSize() const { return m_outerSize; }
-    inline Index innerNonZeros(Index j) const { return m_outerIndex[j+1]-m_outerIndex[j]; }
-
-    //----------------------------------------
-    // direct access interface
-    inline const Scalar* _valuePtr() const { return m_values; }
-    inline Scalar* _valuePtr() { return m_values; }
-
-    inline const Index* _innerIndexPtr() const { return m_innerIndices; }
-    inline Index* _innerIndexPtr() { return m_innerIndices; }
-
-    inline const Index* _outerIndexPtr() const { return m_outerIndex; }
-    inline Index* _outerIndexPtr() { return m_outerIndex; }
-    //----------------------------------------
-
-    inline Scalar coeff(Index row, Index col) const
-    {
-      const Index outer = IsRowMajor ? row : col;
-      const Index inner = IsRowMajor ? col : row;
-
-      Index start = m_outerIndex[outer];
-      Index end = m_outerIndex[outer+1];
-      if (start==end)
-        return Scalar(0);
-      else if (end>0 && inner==m_innerIndices[end-1])
-        return m_values[end-1];
-      // ^^  optimization: let's first check if it is the last coefficient
-      // (very common in high level algorithms)
-
-      const Index* r = std::lower_bound(&m_innerIndices[start],&m_innerIndices[end-1],inner);
-      const Index id = r-&m_innerIndices[0];
-      return ((*r==inner) && (id<end)) ? m_values[id] : Scalar(0);
-    }
-
-    inline Scalar& coeffRef(Index row, Index col)
-    {
-      const Index outer = IsRowMajor ? row : col;
-      const Index inner = IsRowMajor ? col : row;
-
-      Index start = m_outerIndex[outer];
-      Index end = m_outerIndex[outer+1];
-      eigen_assert(end>=start && "you probably called coeffRef on a non finalized matrix");
-      eigen_assert(end>start && "coeffRef cannot be called on a zero coefficient");
-      Index* r = std::lower_bound(&m_innerIndices[start],&m_innerIndices[end],inner);
-      const Index id = r-&m_innerIndices[0];
-      eigen_assert((*r==inner) && (id<end) && "coeffRef cannot be called on a zero coefficient");
-      return m_values[id];
-    }
-
-    class InnerIterator;
-
-    /** \returns the number of non zero coefficients */
-    inline Index nonZeros() const  { return m_nnz; }
-
-    inline MappedSparseMatrix(Index rows, Index cols, Index nnz, Index* outerIndexPtr, Index* innerIndexPtr, Scalar* valuePtr)
-      : m_outerSize(IsRowMajor?rows:cols), m_innerSize(IsRowMajor?cols:rows), m_nnz(nnz), m_outerIndex(outerIndexPtr),
-        m_innerIndices(innerIndexPtr), m_values(valuePtr)
-    {}
-
-    /** Empty destructor */
-    inline ~MappedSparseMatrix() {}
-};
-
-template<typename Scalar, int _Flags, typename _Index>
-class MappedSparseMatrix<Scalar,_Flags,_Index>::InnerIterator
-{
-  public:
-    InnerIterator(const MappedSparseMatrix& mat, Index outer)
-      : m_matrix(mat),
-        m_outer(outer),
-        m_id(mat._outerIndexPtr()[outer]),
-        m_start(m_id),
-        m_end(mat._outerIndexPtr()[outer+1])
-    {}
-
-    template<unsigned int Added, unsigned int Removed>
-    InnerIterator(const Flagged<MappedSparseMatrix,Added,Removed>& mat, Index outer)
-      : m_matrix(mat._expression()), m_id(m_matrix._outerIndexPtr()[outer]),
-        m_start(m_id), m_end(m_matrix._outerIndexPtr()[outer+1])
-    {}
-
-    inline InnerIterator& operator++() { m_id++; return *this; }
-
-    inline Scalar value() const { return m_matrix._valuePtr()[m_id]; }
-    inline Scalar& valueRef() { return const_cast<Scalar&>(m_matrix._valuePtr()[m_id]); }
-
-    inline Index index() const { return m_matrix._innerIndexPtr()[m_id]; }
-    inline Index row() const { return IsRowMajor ? m_outer : index(); }
-    inline Index col() const { return IsRowMajor ? index() : m_outer; }
-
-    inline operator bool() const { return (m_id < m_end) && (m_id>=m_start); }
-
-  protected:
-    const MappedSparseMatrix& m_matrix;
-    const Index m_outer;
-    Index m_id;
-    const Index m_start;
-    const Index m_end;
-};
-
-#endif // EIGEN_MAPPED_SPARSEMATRIX_H
diff --git a/extern/Eigen3/Eigen/src/Sparse/SparseAssign.h b/extern/Eigen3/Eigen/src/Sparse/SparseAssign.h
deleted file mode 100644
index e69de29bb2d..00000000000
--- a/extern/Eigen3/Eigen/src/Sparse/SparseAssign.h
+++ /dev/null
diff --git a/extern/Eigen3/Eigen/src/Sparse/SparseBlock.h b/extern/Eigen3/Eigen/src/Sparse/SparseBlock.h
deleted file mode 100644
index 8079c999994..00000000000
--- a/extern/Eigen3/Eigen/src/Sparse/SparseBlock.h
+++ /dev/null
@@ -1,465 +0,0 @@
-// This file is part of Eigen, a lightweight C++ template library
-// for linear algebra.
-//
-// Copyright (C) 2008-2009 Gael Guennebaud <gael.guennebaud@inria.fr>
-//
-// Eigen is free software; you can redistribute it and/or
-// modify it under the terms of the GNU Lesser General Public
-// License as published by the Free Software Foundation; either
-// version 3 of the License, or (at your option) any later version.
-//
-// Alternatively, you can redistribute it and/or
-// modify it under the terms of the GNU General Public License as
-// published by the Free Software Foundation; either version 2 of
-// the License, or (at your option) any later version.
-//
-// Eigen is distributed in the hope that it will be useful, but WITHOUT ANY
-// WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS
-// FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License or the
-// GNU General Public License for more details.
-//
-// You should have received a copy of the GNU Lesser General Public
-// License and a copy of the GNU General Public License along with
-// Eigen. If not, see <http://www.gnu.org/licenses/>.
-
-#ifndef EIGEN_SPARSE_BLOCK_H
-#define EIGEN_SPARSE_BLOCK_H
-
-namespace internal {
-template<typename MatrixType, int Size>
-struct traits<SparseInnerVectorSet<MatrixType, Size> >
-{
-  typedef typename traits<MatrixType>::Scalar Scalar;
-  typedef typename traits<MatrixType>::Index Index;
-  typedef typename traits<MatrixType>::StorageKind StorageKind;
-  typedef MatrixXpr XprKind;
-  enum {
-    IsRowMajor = (int(MatrixType::Flags)&RowMajorBit)==RowMajorBit,
-    Flags = MatrixType::Flags,
-    RowsAtCompileTime = IsRowMajor ? Size : MatrixType::RowsAtCompileTime,
-    ColsAtCompileTime = IsRowMajor ? MatrixType::ColsAtCompileTime : Size,
-    MaxRowsAtCompileTime = RowsAtCompileTime,
-    MaxColsAtCompileTime = ColsAtCompileTime,
-    CoeffReadCost = MatrixType::CoeffReadCost
-  };
-};
-} // end namespace internal
-
-template<typename MatrixType, int Size>
-class SparseInnerVectorSet : internal::no_assignment_operator,
-  public SparseMatrixBase<SparseInnerVectorSet<MatrixType, Size> >
-{
-  public:
-
-    enum { IsRowMajor = internal::traits<SparseInnerVectorSet>::IsRowMajor };
-
-    EIGEN_SPARSE_PUBLIC_INTERFACE(SparseInnerVectorSet)
-    class InnerIterator: public MatrixType::InnerIterator
-    {
-      public:
-        inline InnerIterator(const SparseInnerVectorSet& xpr, Index outer)
-          : MatrixType::InnerIterator(xpr.m_matrix, xpr.m_outerStart + outer), m_outer(outer)
-        {}
-        inline Index row() const { return IsRowMajor ? m_outer : this->index(); }
-        inline Index col() const { return IsRowMajor ? this->index() : m_outer; }
-      protected:
-        Index m_outer;
-    };
-
-    inline SparseInnerVectorSet(const MatrixType& matrix, Index outerStart, Index outerSize)
-      : m_matrix(matrix), m_outerStart(outerStart), m_outerSize(outerSize)
-    {
-      eigen_assert( (outerStart>=0) && ((outerStart+outerSize)<=matrix.outerSize()) );
-    }
-
-    inline SparseInnerVectorSet(const MatrixType& matrix, Index outer)
-      : m_matrix(matrix), m_outerStart(outer), m_outerSize(Size)
-    {
-      eigen_assert(Size!=Dynamic);
-      eigen_assert( (outer>=0) && (outer<matrix.outerSize()) );
-    }
-
-//     template<typename OtherDerived>
-//     inline SparseInnerVectorSet& operator=(const SparseMatrixBase<OtherDerived>& other)
-//     {
-//       return *this;
-//     }
-
-//     template<typename Sparse>
-//     inline SparseInnerVectorSet& operator=(const SparseMatrixBase<OtherDerived>& other)
-//     {
-//       return *this;
-//     }
-
-    EIGEN_STRONG_INLINE Index rows() const { return IsRowMajor ? m_outerSize.value() : m_matrix.rows(); }
-    EIGEN_STRONG_INLINE Index cols() const { return IsRowMajor ? m_matrix.cols() : m_outerSize.value(); }
-
-  protected:
-
-    const typename MatrixType::Nested m_matrix;
-    Index m_outerStart;
-    const internal::variable_if_dynamic<Index, Size> m_outerSize;
-};
-
-/***************************************************************************
-* specialisation for DynamicSparseMatrix
-***************************************************************************/
-
-template<typename _Scalar, int _Options, int Size>
-class SparseInnerVectorSet<DynamicSparseMatrix<_Scalar, _Options>, Size>
-  : public SparseMatrixBase<SparseInnerVectorSet<DynamicSparseMatrix<_Scalar, _Options>, Size> >
-{
-    typedef DynamicSparseMatrix<_Scalar, _Options> MatrixType;
-  public:
-
-    enum { IsRowMajor = internal::traits<SparseInnerVectorSet>::IsRowMajor };
-
-    EIGEN_SPARSE_PUBLIC_INTERFACE(SparseInnerVectorSet)
-    class InnerIterator: public MatrixType::InnerIterator
-    {
-      public:
-        inline InnerIterator(const SparseInnerVectorSet& xpr, Index outer)
-          : MatrixType::InnerIterator(xpr.m_matrix, xpr.m_outerStart + outer), m_outer(outer)
-        {}
-        inline Index row() const { return IsRowMajor ? m_outer : this->index(); }
-        inline Index col() const { return IsRowMajor ? this->index() : m_outer; }
-      protected:
-        Index m_outer;
-    };
-
-    inline SparseInnerVectorSet(const MatrixType& matrix, Index outerStart, Index outerSize)
-      : m_matrix(matrix), m_outerStart(outerStart), m_outerSize(outerSize)
-    {
-      eigen_assert( (outerStart>=0) && ((outerStart+outerSize)<=matrix.outerSize()) );
-    }
-
-    inline SparseInnerVectorSet(const MatrixType& matrix, Index outer)
-      : m_matrix(matrix), m_outerStart(outer), m_outerSize(Size)
-    {
-      eigen_assert(Size!=Dynamic);
-      eigen_assert( (outer>=0) && (outer<matrix.outerSize()) );
-    }
-
-    template<typename OtherDerived>
-    inline SparseInnerVectorSet& operator=(const SparseMatrixBase<OtherDerived>& other)
-    {
-      if (IsRowMajor != ((OtherDerived::Flags&RowMajorBit)==RowMajorBit))
-      {
-        // need to transpose => perform a block evaluation followed by a big swap
-        DynamicSparseMatrix<Scalar,IsRowMajor?RowMajorBit:0> aux(other);
-        *this = aux.markAsRValue();
-      }
-      else
-      {
-        // evaluate/copy vector per vector
-        for (Index j=0; j<m_outerSize.value(); ++j)
-        {
-          SparseVector<Scalar,IsRowMajor ? RowMajorBit : 0> aux(other.innerVector(j));
-          m_matrix.const_cast_derived()._data()[m_outerStart+j].swap(aux._data());
-        }
-      }
-      return *this;
-    }
-
-    inline SparseInnerVectorSet& operator=(const SparseInnerVectorSet& other)
-    {
-      return operator=<SparseInnerVectorSet>(other);
-    }
-
-    Index nonZeros() const
-    {
-      Index count = 0;
-      for (Index j=0; j<m_outerSize.value(); ++j)
-        count += m_matrix._data()[m_outerStart+j].size();
-      return count;
-    }
-
-    const Scalar& lastCoeff() const
-    {
-      EIGEN_STATIC_ASSERT_VECTOR_ONLY(SparseInnerVectorSet);
-      eigen_assert(m_matrix.data()[m_outerStart].size()>0);
-      return m_matrix.data()[m_outerStart].vale(m_matrix.data()[m_outerStart].size()-1);
-    }
-
-//     template<typename Sparse>
-//     inline SparseInnerVectorSet& operator=(const SparseMatrixBase<OtherDerived>& other)
-//     {
-//       return *this;
-//     }
-
-    EIGEN_STRONG_INLINE Index rows() const { return IsRowMajor ? m_outerSize.value() : m_matrix.rows(); }
-    EIGEN_STRONG_INLINE Index cols() const { return IsRowMajor ? m_matrix.cols() : m_outerSize.value(); }
-
-  protected:
-
-    const typename MatrixType::Nested m_matrix;
-    Index m_outerStart;
-    const internal::variable_if_dynamic<Index, Size> m_outerSize;
-
-};
-
-
-/***************************************************************************
-* specialisation for SparseMatrix
-***************************************************************************/
-
-template<typename _Scalar, int _Options, typename _Index, int Size>
-class SparseInnerVectorSet<SparseMatrix<_Scalar, _Options, _Index>, Size>
-  : public SparseMatrixBase<SparseInnerVectorSet<SparseMatrix<_Scalar, _Options>, Size> >
-{
-    typedef SparseMatrix<_Scalar, _Options> MatrixType;
-  public:
-
-    enum { IsRowMajor = internal::traits<SparseInnerVectorSet>::IsRowMajor };
-
-    EIGEN_SPARSE_PUBLIC_INTERFACE(SparseInnerVectorSet)
-    class InnerIterator: public MatrixType::InnerIterator
-    {
-      public:
-        inline InnerIterator(const SparseInnerVectorSet& xpr, Index outer)
-          : MatrixType::InnerIterator(xpr.m_matrix, xpr.m_outerStart + outer), m_outer(outer)
-        {}
-        inline Index row() const { return IsRowMajor ? m_outer : this->index(); }
-        inline Index col() const { return IsRowMajor ? this->index() : m_outer; }
-      protected:
-        Index m_outer;
-    };
-
-    inline SparseInnerVectorSet(const MatrixType& matrix, Index outerStart, Index outerSize)
-      : m_matrix(matrix), m_outerStart(outerStart), m_outerSize(outerSize)
-    {
-      eigen_assert( (outerStart>=0) && ((outerStart+outerSize)<=matrix.outerSize()) );
-    }
-
-    inline SparseInnerVectorSet(const MatrixType& matrix, Index outer)
-      : m_matrix(matrix), m_outerStart(outer), m_outerSize(Size)
-    {
-      eigen_assert(Size==1);
-      eigen_assert( (outer>=0) && (outer<matrix.outerSize()) );
-    }
-
-    template<typename OtherDerived>
-    inline SparseInnerVectorSet& operator=(const SparseMatrixBase<OtherDerived>& other)
-    {
-      typedef typename internal::remove_all<typename MatrixType::Nested>::type _NestedMatrixType;
-      _NestedMatrixType& matrix = const_cast<_NestedMatrixType&>(m_matrix);;
-      // This assignement is slow if this vector set not empty
-      // and/or it is not at the end of the nonzeros of the underlying matrix.
-
-      // 1 - eval to a temporary to avoid transposition and/or aliasing issues
-      SparseMatrix<Scalar, IsRowMajor ? RowMajor : ColMajor, Index> tmp(other);
-
-      // 2 - let's check whether there is enough allocated memory
-      Index nnz = tmp.nonZeros();
-      Index nnz_previous = nonZeros();
-      Index free_size = matrix.data().allocatedSize() - nnz_previous;
-      std::size_t nnz_head = m_outerStart==0 ? 0 : matrix._outerIndexPtr()[m_outerStart];
-      std::size_t tail = m_matrix._outerIndexPtr()[m_outerStart+m_outerSize.value()];
-      std::size_t nnz_tail = matrix.nonZeros() - tail;
-
-      if(nnz>free_size)
-      {
-        // realloc manually to reduce copies
-        typename MatrixType::Storage newdata(m_matrix.nonZeros() - nnz_previous + nnz);
-
-        std::memcpy(&newdata.value(0), &m_matrix.data().value(0), nnz_head*sizeof(Scalar));
-        std::memcpy(&newdata.index(0), &m_matrix.data().index(0), nnz_head*sizeof(Index));
-
-        std::memcpy(&newdata.value(nnz_head), &tmp.data().value(0), nnz*sizeof(Scalar));
-        std::memcpy(&newdata.index(nnz_head), &tmp.data().index(0), nnz*sizeof(Index));
-
-        std::memcpy(&newdata.value(nnz_head+nnz), &matrix.data().value(tail), nnz_tail*sizeof(Scalar));
-        std::memcpy(&newdata.index(nnz_head+nnz), &matrix.data().index(tail), nnz_tail*sizeof(Index));
-
-        matrix.data().swap(newdata);
-      }
-      else
-      {
-        // no need to realloc, simply copy the tail at its respective position and insert tmp
-        matrix.data().resize(nnz_head + nnz + nnz_tail);
-
-        if(nnz<nnz_previous)
-        {
-          std::memcpy(&matrix.data().value(nnz_head+nnz), &matrix.data().value(tail), nnz_tail*sizeof(Scalar));
-          std::memcpy(&matrix.data().index(nnz_head+nnz), &matrix.data().index(tail), nnz_tail*sizeof(Index));
-        }
-        else
-        {
-          for(Index i=nnz_tail-1; i>=0; --i)
-          {
-            matrix.data().value(nnz_head+nnz+i) = matrix.data().value(tail+i);
-            matrix.data().index(nnz_head+nnz+i) = matrix.data().index(tail+i);
-          }
-        }
-
-        std::memcpy(&matrix.data().value(nnz_head), &tmp.data().value(0), nnz*sizeof(Scalar));
-        std::memcpy(&matrix.data().index(nnz_head), &tmp.data().index(0), nnz*sizeof(Index));
-      }
-
-      // update outer index pointers
-      Index p = nnz_head;
-      for(Index k=1; k<m_outerSize.value(); ++k)
-      {
-        matrix._outerIndexPtr()[m_outerStart+k] = p;
-        p += tmp.innerVector(k).nonZeros();
-      }
-      std::ptrdiff_t offset = nnz - nnz_previous;
-      for(Index k = m_outerStart + m_outerSize.value(); k<=matrix.outerSize(); ++k)
-      {
-        matrix._outerIndexPtr()[k] += offset;
-      }
-
-      return *this;
-    }
-
-    inline SparseInnerVectorSet& operator=(const SparseInnerVectorSet& other)
-    {
-      return operator=<SparseInnerVectorSet>(other);
-    }
-
-    inline const Scalar* _valuePtr() const
-    { return m_matrix._valuePtr() + m_matrix._outerIndexPtr()[m_outerStart]; }
-    inline Scalar* _valuePtr()
-    { return m_matrix.const_cast_derived()._valuePtr() + m_matrix._outerIndexPtr()[m_outerStart]; }
-
-    inline const Index* _innerIndexPtr() const
-    { return m_matrix._innerIndexPtr() + m_matrix._outerIndexPtr()[m_outerStart]; }
-    inline Index* _innerIndexPtr()
-    { return m_matrix.const_cast_derived()._innerIndexPtr() + m_matrix._outerIndexPtr()[m_outerStart]; }
-
-    inline const Index* _outerIndexPtr() const
-    { return m_matrix._outerIndexPtr() + m_outerStart; }
-    inline Index* _outerIndexPtr()
-    { return m_matrix.const_cast_derived()._outerIndexPtr() + m_outerStart; }
-
-    Index nonZeros() const
-    {
-      return  std::size_t(m_matrix._outerIndexPtr()[m_outerStart+m_outerSize.value()])
-            - std::size_t(m_matrix._outerIndexPtr()[m_outerStart]);
-    }
-
-    const Scalar& lastCoeff() const
-    {
-      EIGEN_STATIC_ASSERT_VECTOR_ONLY(SparseInnerVectorSet);
-      eigen_assert(nonZeros()>0);
-      return m_matrix._valuePtr()[m_matrix._outerIndexPtr()[m_outerStart+1]-1];
-    }
-
-//     template<typename Sparse>
-//     inline SparseInnerVectorSet& operator=(const SparseMatrixBase<OtherDerived>& other)
-//     {
-//       return *this;
-//     }
-
-    EIGEN_STRONG_INLINE Index rows() const { return IsRowMajor ? m_outerSize.value() : m_matrix.rows(); }
-    EIGEN_STRONG_INLINE Index cols() const { return IsRowMajor ? m_matrix.cols() : m_outerSize.value(); }
-
-  protected:
-
-    const typename MatrixType::Nested m_matrix;
-    Index m_outerStart;
-    const internal::variable_if_dynamic<Index, Size> m_outerSize;
-
-};
-
-//----------
-
-/** \returns the i-th row of the matrix \c *this. For row-major matrix only. */
-template<typename Derived>
-SparseInnerVectorSet<Derived,1> SparseMatrixBase<Derived>::row(Index i)
-{
-  EIGEN_STATIC_ASSERT(IsRowMajor,THIS_METHOD_IS_ONLY_FOR_ROW_MAJOR_MATRICES);
-  return innerVector(i);
-}
-
-/** \returns the i-th row of the matrix \c *this. For row-major matrix only.
-  * (read-only version) */
-template<typename Derived>
-const SparseInnerVectorSet<Derived,1> SparseMatrixBase<Derived>::row(Index i) const
-{
-  EIGEN_STATIC_ASSERT(IsRowMajor,THIS_METHOD_IS_ONLY_FOR_ROW_MAJOR_MATRICES);
-  return innerVector(i);
-}
-
-/** \returns the i-th column of the matrix \c *this. For column-major matrix only. */
-template<typename Derived>
-SparseInnerVectorSet<Derived,1> SparseMatrixBase<Derived>::col(Index i)
-{
-  EIGEN_STATIC_ASSERT(!IsRowMajor,THIS_METHOD_IS_ONLY_FOR_COLUMN_MAJOR_MATRICES);
-  return innerVector(i);
-}
-
-/** \returns the i-th column of the matrix \c *this. For column-major matrix only.
-  * (read-only version) */
-template<typename Derived>
-const SparseInnerVectorSet<Derived,1> SparseMatrixBase<Derived>::col(Index i) const
-{
-  EIGEN_STATIC_ASSERT(!IsRowMajor,THIS_METHOD_IS_ONLY_FOR_COLUMN_MAJOR_MATRICES);
-  return innerVector(i);
-}
-
-/** \returns the \a outer -th column (resp. row) of the matrix \c *this if \c *this
-  * is col-major (resp. row-major).
-  */
-template<typename Derived>
-SparseInnerVectorSet<Derived,1> SparseMatrixBase<Derived>::innerVector(Index outer)
-{ return SparseInnerVectorSet<Derived,1>(derived(), outer); }
-
-/** \returns the \a outer -th column (resp. row) of the matrix \c *this if \c *this
-  * is col-major (resp. row-major). Read-only.
-  */
-template<typename Derived>
-const SparseInnerVectorSet<Derived,1> SparseMatrixBase<Derived>::innerVector(Index outer) const
-{ return SparseInnerVectorSet<Derived,1>(derived(), outer); }
-
-//----------
-
-/** \returns the i-th row of the matrix \c *this. For row-major matrix only. */
-template<typename Derived>
-SparseInnerVectorSet<Derived,Dynamic> SparseMatrixBase<Derived>::subrows(Index start, Index size)
-{
-  EIGEN_STATIC_ASSERT(IsRowMajor,THIS_METHOD_IS_ONLY_FOR_ROW_MAJOR_MATRICES);
-  return innerVectors(start, size);
-}
-
-/** \returns the i-th row of the matrix \c *this. For row-major matrix only.
-  * (read-only version) */
-template<typename Derived>
-const SparseInnerVectorSet<Derived,Dynamic> SparseMatrixBase<Derived>::subrows(Index start, Index size) const
-{
-  EIGEN_STATIC_ASSERT(IsRowMajor,THIS_METHOD_IS_ONLY_FOR_ROW_MAJOR_MATRICES);
-  return innerVectors(start, size);
-}
-
-/** \returns the i-th column of the matrix \c *this. For column-major matrix only. */
-template<typename Derived>
-SparseInnerVectorSet<Derived,Dynamic> SparseMatrixBase<Derived>::subcols(Index start, Index size)
-{
-  EIGEN_STATIC_ASSERT(!IsRowMajor,THIS_METHOD_IS_ONLY_FOR_COLUMN_MAJOR_MATRICES);
-  return innerVectors(start, size);
-}
-
-/** \returns the i-th column of the matrix \c *this. For column-major matrix only.
-  * (read-only version) */
-template<typename Derived>
-const SparseInnerVectorSet<Derived,Dynamic> SparseMatrixBase<Derived>::subcols(Index start, Index size) const
-{
-  EIGEN_STATIC_ASSERT(!IsRowMajor,THIS_METHOD_IS_ONLY_FOR_COLUMN_MAJOR_MATRICES);
-  return innerVectors(start, size);
-}
-
-/** \returns the \a outer -th column (resp. row) of the matrix \c *this if \c *this
-  * is col-major (resp. row-major).
-  */
-template<typename Derived>
-SparseInnerVectorSet<Derived,Dynamic> SparseMatrixBase<Derived>::innerVectors(Index outerStart, Index outerSize)
-{ return SparseInnerVectorSet<Derived,Dynamic>(derived(), outerStart, outerSize); }
-
-/** \returns the \a outer -th column (resp. row) of the matrix \c *this if \c *this
-  * is col-major (resp. row-major). Read-only.
-  */
-template<typename Derived>
-const SparseInnerVectorSet<Derived,Dynamic> SparseMatrixBase<Derived>::innerVectors(Index outerStart, Index outerSize) const
-{ return SparseInnerVectorSet<Derived,Dynamic>(derived(), outerStart, outerSize); }
-
-#endif // EIGEN_SPARSE_BLOCK_H
diff --git a/extern/Eigen3/Eigen/src/Sparse/SparseCwiseBinaryOp.h b/extern/Eigen3/Eigen/src/Sparse/SparseCwiseBinaryOp.h
deleted file mode 100644
index cde5bbc0300..00000000000
--- a/extern/Eigen3/Eigen/src/Sparse/SparseCwiseBinaryOp.h
+++ /dev/null
@@ -1,375 +0,0 @@
-// This file is part of Eigen, a lightweight C++ template library
-// for linear algebra.
-//
-// Copyright (C) 2008 Gael Guennebaud <gael.guennebaud@inria.fr>
-//
-// Eigen is free software; you can redistribute it and/or
-// modify it under the terms of the GNU Lesser General Public
-// License as published by the Free Software Foundation; either
-// version 3 of the License, or (at your option) any later version.
-//
-// Alternatively, you can redistribute it and/or
-// modify it under the terms of the GNU General Public License as
-// published by the Free Software Foundation; either version 2 of
-// the License, or (at your option) any later version.
-//
-// Eigen is distributed in the hope that it will be useful, but WITHOUT ANY
-// WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS
-// FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License or the
-// GNU General Public License for more details.
-//
-// You should have received a copy of the GNU Lesser General Public
-// License and a copy of the GNU General Public License along with
-// Eigen. If not, see <http://www.gnu.org/licenses/>.
-
-#ifndef EIGEN_SPARSE_CWISE_BINARY_OP_H
-#define EIGEN_SPARSE_CWISE_BINARY_OP_H
-
-// Here we have to handle 3 cases:
-//  1 - sparse op dense
-//  2 - dense op sparse
-//  3 - sparse op sparse
-// We also need to implement a 4th iterator for:
-//  4 - dense op dense
-// Finally, we also need to distinguish between the product and other operations :
-//                configuration      returned mode
-//  1 - sparse op dense    product      sparse
-//                         generic      dense
-//  2 - dense op sparse    product      sparse
-//                         generic      dense
-//  3 - sparse op sparse   product      sparse
-//                         generic      sparse
-//  4 - dense op dense     product      dense
-//                         generic      dense
-
-namespace internal {
-
-template<> struct promote_storage_type<Dense,Sparse>
-{ typedef Sparse ret; };
-
-template<> struct promote_storage_type<Sparse,Dense>
-{ typedef Sparse ret; };
-
-template<typename BinaryOp, typename Lhs, typename Rhs, typename Derived,
-  typename _LhsStorageMode = typename traits<Lhs>::StorageKind,
-  typename _RhsStorageMode = typename traits<Rhs>::StorageKind>
-class sparse_cwise_binary_op_inner_iterator_selector;
-
-} // end namespace internal
-
-template<typename BinaryOp, typename Lhs, typename Rhs>
-class CwiseBinaryOpImpl<BinaryOp, Lhs, Rhs, Sparse>
-  : public SparseMatrixBase<CwiseBinaryOp<BinaryOp, Lhs, Rhs> >
-{
-  public:
-    class InnerIterator;
-    typedef CwiseBinaryOp<BinaryOp, Lhs, Rhs> Derived;
-    EIGEN_SPARSE_PUBLIC_INTERFACE(Derived)
-};
-
-template<typename BinaryOp, typename Lhs, typename Rhs>
-class CwiseBinaryOpImpl<BinaryOp,Lhs,Rhs,Sparse>::InnerIterator
-  : public internal::sparse_cwise_binary_op_inner_iterator_selector<BinaryOp,Lhs,Rhs,typename CwiseBinaryOpImpl<BinaryOp,Lhs,Rhs,Sparse>::InnerIterator>
-{
-  public:
-    typedef typename Lhs::Index Index;
-    typedef internal::sparse_cwise_binary_op_inner_iterator_selector<
-      BinaryOp,Lhs,Rhs, InnerIterator> Base;
-
-    EIGEN_STRONG_INLINE InnerIterator(const CwiseBinaryOpImpl& binOp, Index outer)
-      : Base(binOp.derived(),outer)
-    {}
-};
-
-/***************************************************************************
-* Implementation of inner-iterators
-***************************************************************************/
-
-// template<typename T> struct internal::func_is_conjunction { enum { ret = false }; };
-// template<typename T> struct internal::func_is_conjunction<internal::scalar_product_op<T> > { enum { ret = true }; };
-
-// TODO generalize the internal::scalar_product_op specialization to all conjunctions if any !
-
-namespace internal {
-
-// sparse - sparse  (generic)
-template<typename BinaryOp, typename Lhs, typename Rhs, typename Derived>
-class sparse_cwise_binary_op_inner_iterator_selector<BinaryOp, Lhs, Rhs, Derived, Sparse, Sparse>
-{
-    typedef CwiseBinaryOp<BinaryOp, Lhs, Rhs> CwiseBinaryXpr;
-    typedef typename traits<CwiseBinaryXpr>::Scalar Scalar;
-    typedef typename traits<CwiseBinaryXpr>::_LhsNested _LhsNested;
-    typedef typename traits<CwiseBinaryXpr>::_RhsNested _RhsNested;
-    typedef typename _LhsNested::InnerIterator LhsIterator;
-    typedef typename _RhsNested::InnerIterator RhsIterator;
-    typedef typename Lhs::Index Index;
-
-  public:
-
-    EIGEN_STRONG_INLINE sparse_cwise_binary_op_inner_iterator_selector(const CwiseBinaryXpr& xpr, Index outer)
-      : m_lhsIter(xpr.lhs(),outer), m_rhsIter(xpr.rhs(),outer), m_functor(xpr.functor())
-    {
-      this->operator++();
-    }
-
-    EIGEN_STRONG_INLINE Derived& operator++()
-    {
-      if (m_lhsIter && m_rhsIter && (m_lhsIter.index() == m_rhsIter.index()))
-      {
-        m_id = m_lhsIter.index();
-        m_value = m_functor(m_lhsIter.value(), m_rhsIter.value());
-        ++m_lhsIter;
-        ++m_rhsIter;
-      }
-      else if (m_lhsIter && (!m_rhsIter || (m_lhsIter.index() < m_rhsIter.index())))
-      {
-        m_id = m_lhsIter.index();
-        m_value = m_functor(m_lhsIter.value(), Scalar(0));
-        ++m_lhsIter;
-      }
-      else if (m_rhsIter && (!m_lhsIter || (m_lhsIter.index() > m_rhsIter.index())))
-      {
-        m_id = m_rhsIter.index();
-        m_value = m_functor(Scalar(0), m_rhsIter.value());
-        ++m_rhsIter;
-      }
-      else
-      {
-        m_value = 0; // this is to avoid a compilation warning
-        m_id = -1;
-      }
-      return *static_cast<Derived*>(this);
-    }
-
-    EIGEN_STRONG_INLINE Scalar value() const { return m_value; }
-
-    EIGEN_STRONG_INLINE Index index() const { return m_id; }
-    EIGEN_STRONG_INLINE Index row() const { return Lhs::IsRowMajor ? m_lhsIter.row() : index(); }
-    EIGEN_STRONG_INLINE Index col() const { return Lhs::IsRowMajor ? index() : m_lhsIter.col(); }
-
-    EIGEN_STRONG_INLINE operator bool() const { return m_id>=0; }
-
-  protected:
-    LhsIterator m_lhsIter;
-    RhsIterator m_rhsIter;
-    const BinaryOp& m_functor;
-    Scalar m_value;
-    Index m_id;
-};
-
-// sparse - sparse  (product)
-template<typename T, typename Lhs, typename Rhs, typename Derived>
-class sparse_cwise_binary_op_inner_iterator_selector<scalar_product_op<T>, Lhs, Rhs, Derived, Sparse, Sparse>
-{
-    typedef scalar_product_op<T> BinaryFunc;
-    typedef CwiseBinaryOp<BinaryFunc, Lhs, Rhs> CwiseBinaryXpr;
-    typedef typename CwiseBinaryXpr::Scalar Scalar;
-    typedef typename traits<CwiseBinaryXpr>::_LhsNested _LhsNested;
-    typedef typename _LhsNested::InnerIterator LhsIterator;
-    typedef typename traits<CwiseBinaryXpr>::_RhsNested _RhsNested;
-    typedef typename _RhsNested::InnerIterator RhsIterator;
-    typedef typename Lhs::Index Index;
-  public:
-
-    EIGEN_STRONG_INLINE sparse_cwise_binary_op_inner_iterator_selector(const CwiseBinaryXpr& xpr, Index outer)
-      : m_lhsIter(xpr.lhs(),outer), m_rhsIter(xpr.rhs(),outer), m_functor(xpr.functor())
-    {
-      while (m_lhsIter && m_rhsIter && (m_lhsIter.index() != m_rhsIter.index()))
-      {
-        if (m_lhsIter.index() < m_rhsIter.index())
-          ++m_lhsIter;
-        else
-          ++m_rhsIter;
-      }
-    }
-
-    EIGEN_STRONG_INLINE Derived& operator++()
-    {
-      ++m_lhsIter;
-      ++m_rhsIter;
-      while (m_lhsIter && m_rhsIter && (m_lhsIter.index() != m_rhsIter.index()))
-      {
-        if (m_lhsIter.index() < m_rhsIter.index())
-          ++m_lhsIter;
-        else
-          ++m_rhsIter;
-      }
-      return *static_cast<Derived*>(this);
-    }
-
-    EIGEN_STRONG_INLINE Scalar value() const { return m_functor(m_lhsIter.value(), m_rhsIter.value()); }
-
-    EIGEN_STRONG_INLINE Index index() const { return m_lhsIter.index(); }
-    EIGEN_STRONG_INLINE Index row() const { return m_lhsIter.row(); }
-    EIGEN_STRONG_INLINE Index col() const { return m_lhsIter.col(); }
-
-    EIGEN_STRONG_INLINE operator bool() const { return (m_lhsIter && m_rhsIter); }
-
-  protected:
-    LhsIterator m_lhsIter;
-    RhsIterator m_rhsIter;
-    const BinaryFunc& m_functor;
-};
-
-// sparse - dense  (product)
-template<typename T, typename Lhs, typename Rhs, typename Derived>
-class sparse_cwise_binary_op_inner_iterator_selector<scalar_product_op<T>, Lhs, Rhs, Derived, Sparse, Dense>
-{
-    typedef scalar_product_op<T> BinaryFunc;
-    typedef CwiseBinaryOp<BinaryFunc, Lhs, Rhs> CwiseBinaryXpr;
-    typedef typename CwiseBinaryXpr::Scalar Scalar;
-    typedef typename traits<CwiseBinaryXpr>::_LhsNested _LhsNested;
-    typedef typename traits<CwiseBinaryXpr>::RhsNested RhsNested;
-    typedef typename _LhsNested::InnerIterator LhsIterator;
-    typedef typename Lhs::Index Index;
-    enum { IsRowMajor = (int(Lhs::Flags)&RowMajorBit)==RowMajorBit };
-  public:
-
-    EIGEN_STRONG_INLINE sparse_cwise_binary_op_inner_iterator_selector(const CwiseBinaryXpr& xpr, Index outer)
-      : m_rhs(xpr.rhs()), m_lhsIter(xpr.lhs(),outer), m_functor(xpr.functor()), m_outer(outer)
-    {}
-
-    EIGEN_STRONG_INLINE Derived& operator++()
-    {
-      ++m_lhsIter;
-      return *static_cast<Derived*>(this);
-    }
-
-    EIGEN_STRONG_INLINE Scalar value() const
-    { return m_functor(m_lhsIter.value(),
-                       m_rhs.coeff(IsRowMajor?m_outer:m_lhsIter.index(),IsRowMajor?m_lhsIter.index():m_outer)); }
-
-    EIGEN_STRONG_INLINE Index index() const { return m_lhsIter.index(); }
-    EIGEN_STRONG_INLINE Index row() const { return m_lhsIter.row(); }
-    EIGEN_STRONG_INLINE Index col() const { return m_lhsIter.col(); }
-
-    EIGEN_STRONG_INLINE operator bool() const { return m_lhsIter; }
-
-  protected:
-    const RhsNested m_rhs;
-    LhsIterator m_lhsIter;
-    const BinaryFunc m_functor;
-    const Index m_outer;
-};
-
-// sparse - dense  (product)
-template<typename T, typename Lhs, typename Rhs, typename Derived>
-class sparse_cwise_binary_op_inner_iterator_selector<scalar_product_op<T>, Lhs, Rhs, Derived, Dense, Sparse>
-{
-    typedef scalar_product_op<T> BinaryFunc;
-    typedef CwiseBinaryOp<BinaryFunc, Lhs, Rhs> CwiseBinaryXpr;
-    typedef typename CwiseBinaryXpr::Scalar Scalar;
-    typedef typename traits<CwiseBinaryXpr>::_RhsNested _RhsNested;
-    typedef typename _RhsNested::InnerIterator RhsIterator;
-    typedef typename Lhs::Index Index;
-
-    enum { IsRowMajor = (int(Rhs::Flags)&RowMajorBit)==RowMajorBit };
-  public:
-
-    EIGEN_STRONG_INLINE sparse_cwise_binary_op_inner_iterator_selector(const CwiseBinaryXpr& xpr, Index outer)
-      : m_xpr(xpr), m_rhsIter(xpr.rhs(),outer), m_functor(xpr.functor()), m_outer(outer)
-    {}
-
-    EIGEN_STRONG_INLINE Derived& operator++()
-    {
-      ++m_rhsIter;
-      return *static_cast<Derived*>(this);
-    }
-
-    EIGEN_STRONG_INLINE Scalar value() const
-    { return m_functor(m_xpr.lhs().coeff(IsRowMajor?m_outer:m_rhsIter.index(),IsRowMajor?m_rhsIter.index():m_outer), m_rhsIter.value()); }
-
-    EIGEN_STRONG_INLINE Index index() const { return m_rhsIter.index(); }
-    EIGEN_STRONG_INLINE Index row() const { return m_rhsIter.row(); }
-    EIGEN_STRONG_INLINE Index col() const { return m_rhsIter.col(); }
-
-    EIGEN_STRONG_INLINE operator bool() const { return m_rhsIter; }
-
-  protected:
-    const CwiseBinaryXpr& m_xpr;
-    RhsIterator m_rhsIter;
-    const BinaryFunc& m_functor;
-    const Index m_outer;
-};
-
-} // end namespace internal
-
-/***************************************************************************
-* Implementation of SparseMatrixBase and SparseCwise functions/operators
-***************************************************************************/
-
-// template<typename Derived>
-// template<typename OtherDerived>
-// EIGEN_STRONG_INLINE const CwiseBinaryOp<internal::scalar_difference_op<typename internal::traits<Derived>::Scalar>,
-//                                  Derived, OtherDerived>
-// SparseMatrixBase<Derived>::operator-(const SparseMatrixBase<OtherDerived> &other) const
-// {
-//   return CwiseBinaryOp<internal::scalar_difference_op<Scalar>,
-//                        Derived, OtherDerived>(derived(), other.derived());
-// }
-
-template<typename Derived>
-template<typename OtherDerived>
-EIGEN_STRONG_INLINE Derived &
-SparseMatrixBase<Derived>::operator-=(const SparseMatrixBase<OtherDerived> &other)
-{
-  return *this = derived() - other.derived();
-}
-
-// template<typename Derived>
-// template<typename OtherDerived>
-// EIGEN_STRONG_INLINE const CwiseBinaryOp<internal::scalar_sum_op<typename internal::traits<Derived>::Scalar>, Derived, OtherDerived>
-// SparseMatrixBase<Derived>::operator+(const SparseMatrixBase<OtherDerived> &other) const
-// {
-//   return CwiseBinaryOp<internal::scalar_sum_op<Scalar>, Derived, OtherDerived>(derived(), other.derived());
-// }
-
-template<typename Derived>
-template<typename OtherDerived>
-EIGEN_STRONG_INLINE Derived &
-SparseMatrixBase<Derived>::operator+=(const SparseMatrixBase<OtherDerived>& other)
-{
-  return *this = derived() + other.derived();
-}
-
-// template<typename ExpressionType>
-// template<typename OtherDerived>
-// EIGEN_STRONG_INLINE const EIGEN_SPARSE_CWISE_PRODUCT_RETURN_TYPE
-// SparseCwise<ExpressionType>::operator*(const SparseMatrixBase<OtherDerived> &other) const
-// {
-//   return EIGEN_SPARSE_CWISE_PRODUCT_RETURN_TYPE(_expression(), other.derived());
-// }
-
-template<typename Derived>
-template<typename OtherDerived>
-EIGEN_STRONG_INLINE const EIGEN_SPARSE_CWISE_PRODUCT_RETURN_TYPE
-SparseMatrixBase<Derived>::cwiseProduct(const MatrixBase<OtherDerived> &other) const
-{
-  return EIGEN_SPARSE_CWISE_PRODUCT_RETURN_TYPE(derived(), other.derived());
-}
-
-// template<typename ExpressionType>
-// template<typename OtherDerived>
-// EIGEN_STRONG_INLINE const EIGEN_SPARSE_CWISE_BINOP_RETURN_TYPE(internal::scalar_quotient_op)
-// SparseCwise<ExpressionType>::operator/(const SparseMatrixBase<OtherDerived> &other) const
-// {
-//   return EIGEN_SPARSE_CWISE_BINOP_RETURN_TYPE(internal::scalar_quotient_op)(_expression(), other.derived());
-// }
-//
-// template<typename ExpressionType>
-// template<typename OtherDerived>
-// EIGEN_STRONG_INLINE const EIGEN_SPARSE_CWISE_BINOP_RETURN_TYPE(internal::scalar_quotient_op)
-// SparseCwise<ExpressionType>::operator/(const MatrixBase<OtherDerived> &other) const
-// {
-//   return EIGEN_SPARSE_CWISE_BINOP_RETURN_TYPE(internal::scalar_quotient_op)(_expression(), other.derived());
-// }
-
-// template<typename ExpressionType>
-// template<typename OtherDerived>
-// inline ExpressionType& SparseCwise<ExpressionType>::operator*=(const SparseMatrixBase<OtherDerived> &other)
-// {
-//   return m_matrix.const_cast_derived() = _expression() * other.derived();
-// }
-
-
-#endif // EIGEN_SPARSE_CWISE_BINARY_OP_H
diff --git a/extern/Eigen3/Eigen/src/Sparse/SparseCwiseUnaryOp.h b/extern/Eigen3/Eigen/src/Sparse/SparseCwiseUnaryOp.h
deleted file mode 100644
index aa068835fbb..00000000000
--- a/extern/Eigen3/Eigen/src/Sparse/SparseCwiseUnaryOp.h
+++ /dev/null
@@ -1,146 +0,0 @@
-// This file is part of Eigen, a lightweight C++ template library
-// for linear algebra.
-//
-// Copyright (C) 2008-2010 Gael Guennebaud <gael.guennebaud@inria.fr>
-//
-// Eigen is free software; you can redistribute it and/or
-// modify it under the terms of the GNU Lesser General Public
-// License as published by the Free Software Foundation; either
-// version 3 of the License, or (at your option) any later version.
-//
-// Alternatively, you can redistribute it and/or
-// modify it under the terms of the GNU General Public License as
-// published by the Free Software Foundation; either version 2 of
-// the License, or (at your option) any later version.
-//
-// Eigen is distributed in the hope that it will be useful, but WITHOUT ANY
-// WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS
-// FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License or the
-// GNU General Public License for more details.
-//
-// You should have received a copy of the GNU Lesser General Public
-// License and a copy of the GNU General Public License along with
-// Eigen. If not, see <http://www.gnu.org/licenses/>.
-
-#ifndef EIGEN_SPARSE_CWISE_UNARY_OP_H
-#define EIGEN_SPARSE_CWISE_UNARY_OP_H
-
-// template<typename UnaryOp, typename MatrixType>
-// struct internal::traits<SparseCwiseUnaryOp<UnaryOp, MatrixType> > : internal::traits<MatrixType>
-// {
-//   typedef typename internal::result_of<
-//                      UnaryOp(typename MatrixType::Scalar)
-//                    >::type Scalar;
-//   typedef typename MatrixType::Nested MatrixTypeNested;
-//   typedef typename internal::remove_reference<MatrixTypeNested>::type _MatrixTypeNested;
-//   enum {
-//     CoeffReadCost = _MatrixTypeNested::CoeffReadCost + internal::functor_traits<UnaryOp>::Cost
-//   };
-// };
-
-template<typename UnaryOp, typename MatrixType>
-class CwiseUnaryOpImpl<UnaryOp,MatrixType,Sparse>
-  : public SparseMatrixBase<CwiseUnaryOp<UnaryOp, MatrixType> >
-{
-  public:
-
-    class InnerIterator;
-//     typedef typename internal::remove_reference<LhsNested>::type _LhsNested;
-
-    typedef CwiseUnaryOp<UnaryOp, MatrixType> Derived;
-    EIGEN_SPARSE_PUBLIC_INTERFACE(Derived)
-};
-
-template<typename UnaryOp, typename MatrixType>
-class CwiseUnaryOpImpl<UnaryOp,MatrixType,Sparse>::InnerIterator
-{
-    typedef typename CwiseUnaryOpImpl::Scalar Scalar;
-    typedef typename internal::traits<Derived>::_XprTypeNested _MatrixTypeNested;
-    typedef typename _MatrixTypeNested::InnerIterator MatrixTypeIterator;
-    typedef typename MatrixType::Index Index;
-  public:
-
-    EIGEN_STRONG_INLINE InnerIterator(const CwiseUnaryOpImpl& unaryOp, Index outer)
-      : m_iter(unaryOp.derived().nestedExpression(),outer), m_functor(unaryOp.derived().functor())
-    {}
-
-    EIGEN_STRONG_INLINE InnerIterator& operator++()
-    { ++m_iter; return *this; }
-
-    EIGEN_STRONG_INLINE Scalar value() const { return m_functor(m_iter.value()); }
-
-    EIGEN_STRONG_INLINE Index index() const { return m_iter.index(); }
-    EIGEN_STRONG_INLINE Index row() const { return m_iter.row(); }
-    EIGEN_STRONG_INLINE Index col() const { return m_iter.col(); }
-
-    EIGEN_STRONG_INLINE operator bool() const { return m_iter; }
-
-  protected:
-    MatrixTypeIterator m_iter;
-    const UnaryOp m_functor;
-};
-
-template<typename ViewOp, typename MatrixType>
-class CwiseUnaryViewImpl<ViewOp,MatrixType,Sparse>
-  : public SparseMatrixBase<CwiseUnaryView<ViewOp, MatrixType> >
-{
-  public:
-
-    class InnerIterator;
-//     typedef typename internal::remove_reference<LhsNested>::type _LhsNested;
-
-    typedef CwiseUnaryView<ViewOp, MatrixType> Derived;
-    EIGEN_SPARSE_PUBLIC_INTERFACE(Derived)
-};
-
-template<typename ViewOp, typename MatrixType>
-class CwiseUnaryViewImpl<ViewOp,MatrixType,Sparse>::InnerIterator
-{
-    typedef typename CwiseUnaryViewImpl::Scalar Scalar;
-    typedef typename internal::traits<Derived>::_MatrixTypeNested _MatrixTypeNested;
-    typedef typename _MatrixTypeNested::InnerIterator MatrixTypeIterator;
-    typedef typename MatrixType::Index Index;
-  public:
-
-    EIGEN_STRONG_INLINE InnerIterator(const CwiseUnaryViewImpl& unaryView, Index outer)
-      : m_iter(unaryView.derived().nestedExpression(),outer), m_functor(unaryView.derived().functor())
-    {}
-
-    EIGEN_STRONG_INLINE InnerIterator& operator++()
-    { ++m_iter; return *this; }
-
-    EIGEN_STRONG_INLINE Scalar value() const { return m_functor(m_iter.value()); }
-    EIGEN_STRONG_INLINE Scalar& valueRef() { return m_functor(m_iter.valueRef()); }
-
-    EIGEN_STRONG_INLINE Index index() const { return m_iter.index(); }
-    EIGEN_STRONG_INLINE Index row() const { return m_iter.row(); }
-    EIGEN_STRONG_INLINE Index col() const { return m_iter.col(); }
-
-    EIGEN_STRONG_INLINE operator bool() const { return m_iter; }
-
-  protected:
-    MatrixTypeIterator m_iter;
-    const ViewOp m_functor;
-};
-
-template<typename Derived>
-EIGEN_STRONG_INLINE Derived&
-SparseMatrixBase<Derived>::operator*=(const Scalar& other)
-{
-  for (Index j=0; j<outerSize(); ++j)
-    for (typename Derived::InnerIterator i(derived(),j); i; ++i)
-      i.valueRef() *= other;
-  return derived();
-}
-
-template<typename Derived>
-EIGEN_STRONG_INLINE Derived&
-SparseMatrixBase<Derived>::operator/=(const Scalar& other)
-{
-  for (Index j=0; j<outerSize(); ++j)
-    for (typename Derived::InnerIterator i(derived(),j); i; ++i)
-      i.valueRef() /= other;
-  return derived();
-}
-
-#endif // EIGEN_SPARSE_CWISE_UNARY_OP_H
diff --git a/extern/Eigen3/Eigen/src/Sparse/SparseDenseProduct.h b/extern/Eigen3/Eigen/src/Sparse/SparseDenseProduct.h
deleted file mode 100644
index 0f77aa5be99..00000000000
--- a/extern/Eigen3/Eigen/src/Sparse/SparseDenseProduct.h
+++ /dev/null
@@ -1,231 +0,0 @@
-// This file is part of Eigen, a lightweight C++ template library
-// for linear algebra.
-//
-// Copyright (C) 2008-2010 Gael Guennebaud <gael.guennebaud@inria.fr>
-//
-// Eigen is free software; you can redistribute it and/or
-// modify it under the terms of the GNU Lesser General Public
-// License as published by the Free Software Foundation; either
-// version 3 of the License, or (at your option) any later version.
-//
-// Alternatively, you can redistribute it and/or
-// modify it under the terms of the GNU General Public License as
-// published by the Free Software Foundation; either version 2 of
-// the License, or (at your option) any later version.
-//
-// Eigen is distributed in the hope that it will be useful, but WITHOUT ANY
-// WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS
-// FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License or the
-// GNU General Public License for more details.
-//
-// You should have received a copy of the GNU Lesser General Public
-// License and a copy of the GNU General Public License along with
-// Eigen. If not, see <http://www.gnu.org/licenses/>.
-
-#ifndef EIGEN_SPARSEDENSEPRODUCT_H
-#define EIGEN_SPARSEDENSEPRODUCT_H
-
-template<typename Lhs, typename Rhs, int InnerSize> struct SparseDenseProductReturnType
-{
-  typedef SparseTimeDenseProduct<Lhs,Rhs> Type;
-};
-
-template<typename Lhs, typename Rhs> struct SparseDenseProductReturnType<Lhs,Rhs,1>
-{
-  typedef SparseDenseOuterProduct<Lhs,Rhs,false> Type;
-};
-
-template<typename Lhs, typename Rhs, int InnerSize> struct DenseSparseProductReturnType
-{
-  typedef DenseTimeSparseProduct<Lhs,Rhs> Type;
-};
-
-template<typename Lhs, typename Rhs> struct DenseSparseProductReturnType<Lhs,Rhs,1>
-{
-  typedef SparseDenseOuterProduct<Rhs,Lhs,true> Type;
-};
-
-namespace internal {
-
-template<typename Lhs, typename Rhs, bool Tr>
-struct traits<SparseDenseOuterProduct<Lhs,Rhs,Tr> >
-{
-  typedef Sparse StorageKind;
-  typedef typename scalar_product_traits<typename traits<Lhs>::Scalar,
-                                            typename traits<Rhs>::Scalar>::ReturnType Scalar;
-  typedef typename Lhs::Index Index;
-  typedef typename Lhs::Nested LhsNested;
-  typedef typename Rhs::Nested RhsNested;
-  typedef typename remove_all<LhsNested>::type _LhsNested;
-  typedef typename remove_all<RhsNested>::type _RhsNested;
-
-  enum {
-    LhsCoeffReadCost = traits<_LhsNested>::CoeffReadCost,
-    RhsCoeffReadCost = traits<_RhsNested>::CoeffReadCost,
-
-    RowsAtCompileTime    = Tr ? int(traits<Rhs>::RowsAtCompileTime)     : int(traits<Lhs>::RowsAtCompileTime),
-    ColsAtCompileTime    = Tr ? int(traits<Lhs>::ColsAtCompileTime)     : int(traits<Rhs>::ColsAtCompileTime),
-    MaxRowsAtCompileTime = Tr ? int(traits<Rhs>::MaxRowsAtCompileTime)  : int(traits<Lhs>::MaxRowsAtCompileTime),
-    MaxColsAtCompileTime = Tr ? int(traits<Lhs>::MaxColsAtCompileTime)  : int(traits<Rhs>::MaxColsAtCompileTime),
-
-    Flags = Tr ? RowMajorBit : 0,
-
-    CoeffReadCost = LhsCoeffReadCost + RhsCoeffReadCost + NumTraits<Scalar>::MulCost
-  };
-};
-
-} // end namespace internal
-
-template<typename Lhs, typename Rhs, bool Tr>
-class SparseDenseOuterProduct
- : public SparseMatrixBase<SparseDenseOuterProduct<Lhs,Rhs,Tr> >
-{
-  public:
-
-    typedef SparseMatrixBase<SparseDenseOuterProduct> Base;
-    EIGEN_DENSE_PUBLIC_INTERFACE(SparseDenseOuterProduct)
-    typedef internal::traits<SparseDenseOuterProduct> Traits;
-
-  private:
-
-    typedef typename Traits::LhsNested LhsNested;
-    typedef typename Traits::RhsNested RhsNested;
-    typedef typename Traits::_LhsNested _LhsNested;
-    typedef typename Traits::_RhsNested _RhsNested;
-
-  public:
-
-    class InnerIterator;
-
-    EIGEN_STRONG_INLINE SparseDenseOuterProduct(const Lhs& lhs, const Rhs& rhs)
-      : m_lhs(lhs), m_rhs(rhs)
-    {
-      EIGEN_STATIC_ASSERT(!Tr,YOU_MADE_A_PROGRAMMING_MISTAKE);
-    }
-
-    EIGEN_STRONG_INLINE SparseDenseOuterProduct(const Rhs& rhs, const Lhs& lhs)
-      : m_lhs(lhs), m_rhs(rhs)
-    {
-      EIGEN_STATIC_ASSERT(Tr,YOU_MADE_A_PROGRAMMING_MISTAKE);
-    }
-
-    EIGEN_STRONG_INLINE Index rows() const { return Tr ? m_rhs.rows() : m_lhs.rows(); }
-    EIGEN_STRONG_INLINE Index cols() const { return Tr ? m_lhs.cols() : m_rhs.cols(); }
-
-    EIGEN_STRONG_INLINE const _LhsNested& lhs() const { return m_lhs; }
-    EIGEN_STRONG_INLINE const _RhsNested& rhs() const { return m_rhs; }
-
-  protected:
-    LhsNested m_lhs;
-    RhsNested m_rhs;
-};
-
-template<typename Lhs, typename Rhs, bool Transpose>
-class SparseDenseOuterProduct<Lhs,Rhs,Transpose>::InnerIterator : public _LhsNested::InnerIterator
-{
-    typedef typename _LhsNested::InnerIterator Base;
-  public:
-    EIGEN_STRONG_INLINE InnerIterator(const SparseDenseOuterProduct& prod, Index outer)
-      : Base(prod.lhs(), 0), m_outer(outer), m_factor(prod.rhs().coeff(outer))
-    {
-    }
-
-    inline Index outer() const { return m_outer; }
-    inline Index row() const { return Transpose ? Base::row() : m_outer; }
-    inline Index col() const { return Transpose ? m_outer : Base::row(); }
-
-    inline Scalar value() const { return Base::value() * m_factor; }
-
-  protected:
-    int m_outer;
-    Scalar m_factor;
-};
-
-namespace internal {
-template<typename Lhs, typename Rhs>
-struct traits<SparseTimeDenseProduct<Lhs,Rhs> >
- : traits<ProductBase<SparseTimeDenseProduct<Lhs,Rhs>, Lhs, Rhs> >
-{
-  typedef Dense StorageKind;
-  typedef MatrixXpr XprKind;
-};
-} // end namespace internal
-
-template<typename Lhs, typename Rhs>
-class SparseTimeDenseProduct
-  : public ProductBase<SparseTimeDenseProduct<Lhs,Rhs>, Lhs, Rhs>
-{
-  public:
-    EIGEN_PRODUCT_PUBLIC_INTERFACE(SparseTimeDenseProduct)
-
-    SparseTimeDenseProduct(const Lhs& lhs, const Rhs& rhs) : Base(lhs,rhs)
-    {}
-
-    template<typename Dest> void scaleAndAddTo(Dest& dest, Scalar alpha) const
-    {
-      typedef typename internal::remove_all<Lhs>::type _Lhs;
-      typedef typename internal::remove_all<Rhs>::type _Rhs;
-      typedef typename _Lhs::InnerIterator LhsInnerIterator;
-      enum { LhsIsRowMajor = (_Lhs::Flags&RowMajorBit)==RowMajorBit };
-      for(Index j=0; j<m_lhs.outerSize(); ++j)
-      {
-        typename Rhs::Scalar rhs_j = alpha * m_rhs.coeff(LhsIsRowMajor ? 0 : j,0);
-        typename Dest::RowXpr dest_j(dest.row(LhsIsRowMajor ? j : 0));
-        for(LhsInnerIterator it(m_lhs,j); it ;++it)
-        {
-          if(LhsIsRowMajor)                   dest_j += (alpha*it.value()) * m_rhs.row(it.index());
-          else if(Rhs::ColsAtCompileTime==1)  dest.coeffRef(it.index()) += it.value() * rhs_j;
-          else                                dest.row(it.index()) += (alpha*it.value()) * m_rhs.row(j);
-        }
-      }
-    }
-
-  private:
-    SparseTimeDenseProduct& operator=(const SparseTimeDenseProduct&);
-};
-
-
-// dense = dense * sparse
-namespace internal {
-template<typename Lhs, typename Rhs>
-struct traits<DenseTimeSparseProduct<Lhs,Rhs> >
- : traits<ProductBase<DenseTimeSparseProduct<Lhs,Rhs>, Lhs, Rhs> >
-{
-  typedef Dense StorageKind;
-};
-} // end namespace internal
-
-template<typename Lhs, typename Rhs>
-class DenseTimeSparseProduct
-  : public ProductBase<DenseTimeSparseProduct<Lhs,Rhs>, Lhs, Rhs>
-{
-  public:
-    EIGEN_PRODUCT_PUBLIC_INTERFACE(DenseTimeSparseProduct)
-
-    DenseTimeSparseProduct(const Lhs& lhs, const Rhs& rhs) : Base(lhs,rhs)
-    {}
-
-    template<typename Dest> void scaleAndAddTo(Dest& dest, Scalar alpha) const
-    {
-      typedef typename internal::remove_all<Rhs>::type _Rhs;
-      typedef typename _Rhs::InnerIterator RhsInnerIterator;
-      enum { RhsIsRowMajor = (_Rhs::Flags&RowMajorBit)==RowMajorBit };
-      for(Index j=0; j<m_rhs.outerSize(); ++j)
-        for(RhsInnerIterator i(m_rhs,j); i; ++i)
-          dest.col(RhsIsRowMajor ? i.index() : j) += (alpha*i.value()) * m_lhs.col(RhsIsRowMajor ? j : i.index());
-    }
-
-  private:
-    DenseTimeSparseProduct& operator=(const DenseTimeSparseProduct&);
-};
-
-// sparse * dense
-template<typename Derived>
-template<typename OtherDerived>
-inline const typename SparseDenseProductReturnType<Derived,OtherDerived>::Type
-SparseMatrixBase<Derived>::operator*(const MatrixBase<OtherDerived> &other) const
-{
-  return typename SparseDenseProductReturnType<Derived,OtherDerived>::Type(derived(), other.derived());
-}
-
-#endif // EIGEN_SPARSEDENSEPRODUCT_H
diff --git a/extern/Eigen3/Eigen/src/Sparse/SparseDiagonalProduct.h b/extern/Eigen3/Eigen/src/Sparse/SparseDiagonalProduct.h
deleted file mode 100644
index fb9a29c051b..00000000000
--- a/extern/Eigen3/Eigen/src/Sparse/SparseDiagonalProduct.h
+++ /dev/null
@@ -1,195 +0,0 @@
-// This file is part of Eigen, a lightweight C++ template library
-// for linear algebra.
-//
-// Copyright (C) 2009 Gael Guennebaud <gael.guennebaud@inria.fr>
-//
-// Eigen is free software; you can redistribute it and/or
-// modify it under the terms of the GNU Lesser General Public
-// License as published by the Free Software Foundation; either
-// version 3 of the License, or (at your option) any later version.
-//
-// Alternatively, you can redistribute it and/or
-// modify it under the terms of the GNU General Public License as
-// published by the Free Software Foundation; either version 2 of
-// the License, or (at your option) any later version.
-//
-// Eigen is distributed in the hope that it will be useful, but WITHOUT ANY
-// WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS
-// FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License or the
-// GNU General Public License for more details.
-//
-// You should have received a copy of the GNU Lesser General Public
-// License and a copy of the GNU General Public License along with
-// Eigen. If not, see <http://www.gnu.org/licenses/>.
-
-#ifndef EIGEN_SPARSE_DIAGONAL_PRODUCT_H
-#define EIGEN_SPARSE_DIAGONAL_PRODUCT_H
-
-// The product of a diagonal matrix with a sparse matrix can be easily
-// implemented using expression template.
-// We have two consider very different cases:
-// 1 - diag * row-major sparse
-//     => each inner vector <=> scalar * sparse vector product
-//     => so we can reuse CwiseUnaryOp::InnerIterator
-// 2 - diag * col-major sparse
-//     => each inner vector <=> densevector * sparse vector cwise product
-//     => again, we can reuse specialization of CwiseBinaryOp::InnerIterator
-//        for that particular case
-// The two other cases are symmetric.
-
-namespace internal {
-
-template<typename Lhs, typename Rhs>
-struct traits<SparseDiagonalProduct<Lhs, Rhs> >
-{
-  typedef typename remove_all<Lhs>::type _Lhs;
-  typedef typename remove_all<Rhs>::type _Rhs;
-  typedef typename _Lhs::Scalar Scalar;
-  typedef typename promote_index_type<typename traits<Lhs>::Index,
-                                         typename traits<Rhs>::Index>::type Index;
-  typedef Sparse StorageKind;
-  typedef MatrixXpr XprKind;
-  enum {
-    RowsAtCompileTime = _Lhs::RowsAtCompileTime,
-    ColsAtCompileTime = _Rhs::ColsAtCompileTime,
-
-    MaxRowsAtCompileTime = _Lhs::MaxRowsAtCompileTime,
-    MaxColsAtCompileTime = _Rhs::MaxColsAtCompileTime,
-
-    SparseFlags = is_diagonal<_Lhs>::ret ? int(_Rhs::Flags) : int(_Lhs::Flags),
-    Flags = (SparseFlags&RowMajorBit),
-    CoeffReadCost = Dynamic
-  };
-};
-
-enum {SDP_IsDiagonal, SDP_IsSparseRowMajor, SDP_IsSparseColMajor};
-template<typename Lhs, typename Rhs, typename SparseDiagonalProductType, int RhsMode, int LhsMode>
-class sparse_diagonal_product_inner_iterator_selector;
-
-} // end namespace internal
-
-template<typename Lhs, typename Rhs>
-class SparseDiagonalProduct
-  : public SparseMatrixBase<SparseDiagonalProduct<Lhs,Rhs> >,
-    internal::no_assignment_operator
-{
-    typedef typename Lhs::Nested LhsNested;
-    typedef typename Rhs::Nested RhsNested;
-
-    typedef typename internal::remove_all<LhsNested>::type _LhsNested;
-    typedef typename internal::remove_all<RhsNested>::type _RhsNested;
-
-    enum {
-      LhsMode = internal::is_diagonal<_LhsNested>::ret ? internal::SDP_IsDiagonal
-              : (_LhsNested::Flags&RowMajorBit) ? internal::SDP_IsSparseRowMajor : internal::SDP_IsSparseColMajor,
-      RhsMode = internal::is_diagonal<_RhsNested>::ret ? internal::SDP_IsDiagonal
-              : (_RhsNested::Flags&RowMajorBit) ? internal::SDP_IsSparseRowMajor : internal::SDP_IsSparseColMajor
-    };
-
-  public:
-
-    EIGEN_SPARSE_PUBLIC_INTERFACE(SparseDiagonalProduct)
-
-    typedef internal::sparse_diagonal_product_inner_iterator_selector
-                <_LhsNested,_RhsNested,SparseDiagonalProduct,LhsMode,RhsMode> InnerIterator;
-
-    EIGEN_STRONG_INLINE SparseDiagonalProduct(const Lhs& lhs, const Rhs& rhs)
-      : m_lhs(lhs), m_rhs(rhs)
-    {
-      eigen_assert(lhs.cols() == rhs.rows() && "invalid sparse matrix * diagonal matrix product");
-    }
-
-    EIGEN_STRONG_INLINE Index rows() const { return m_lhs.rows(); }
-    EIGEN_STRONG_INLINE Index cols() const { return m_rhs.cols(); }
-
-    EIGEN_STRONG_INLINE const _LhsNested& lhs() const { return m_lhs; }
-    EIGEN_STRONG_INLINE const _RhsNested& rhs() const { return m_rhs; }
-
-  protected:
-    LhsNested m_lhs;
-    RhsNested m_rhs;
-};
-
-namespace internal {
-
-template<typename Lhs, typename Rhs, typename SparseDiagonalProductType>
-class sparse_diagonal_product_inner_iterator_selector
-<Lhs,Rhs,SparseDiagonalProductType,SDP_IsDiagonal,SDP_IsSparseRowMajor>
-  : public CwiseUnaryOp<scalar_multiple_op<typename Lhs::Scalar>,const Rhs>::InnerIterator
-{
-    typedef typename CwiseUnaryOp<scalar_multiple_op<typename Lhs::Scalar>,const Rhs>::InnerIterator Base;
-    typedef typename Lhs::Index Index;
-  public:
-    inline sparse_diagonal_product_inner_iterator_selector(
-              const SparseDiagonalProductType& expr, Index outer)
-      : Base(expr.rhs()*(expr.lhs().diagonal().coeff(outer)), outer)
-    {}
-};
-
-template<typename Lhs, typename Rhs, typename SparseDiagonalProductType>
-class sparse_diagonal_product_inner_iterator_selector
-<Lhs,Rhs,SparseDiagonalProductType,SDP_IsDiagonal,SDP_IsSparseColMajor>
-  : public CwiseBinaryOp<
-      scalar_product_op<typename Lhs::Scalar>,
-      SparseInnerVectorSet<Rhs,1>,
-      typename Lhs::DiagonalVectorType>::InnerIterator
-{
-    typedef typename CwiseBinaryOp<
-      scalar_product_op<typename Lhs::Scalar>,
-      SparseInnerVectorSet<Rhs,1>,
-      typename Lhs::DiagonalVectorType>::InnerIterator Base;
-    typedef typename Lhs::Index Index;
-  public:
-    inline sparse_diagonal_product_inner_iterator_selector(
-              const SparseDiagonalProductType& expr, Index outer)
-      : Base(expr.rhs().innerVector(outer) .cwiseProduct(expr.lhs().diagonal()), 0)
-    {}
-};
-
-template<typename Lhs, typename Rhs, typename SparseDiagonalProductType>
-class sparse_diagonal_product_inner_iterator_selector
-<Lhs,Rhs,SparseDiagonalProductType,SDP_IsSparseColMajor,SDP_IsDiagonal>
-  : public CwiseUnaryOp<scalar_multiple_op<typename Rhs::Scalar>,const Lhs>::InnerIterator
-{
-    typedef typename CwiseUnaryOp<scalar_multiple_op<typename Rhs::Scalar>,const Lhs>::InnerIterator Base;
-    typedef typename Lhs::Index Index;
-  public:
-    inline sparse_diagonal_product_inner_iterator_selector(
-              const SparseDiagonalProductType& expr, Index outer)
-      : Base(expr.lhs()*expr.rhs().diagonal().coeff(outer), outer)
-    {}
-};
-
-template<typename Lhs, typename Rhs, typename SparseDiagonalProductType>
-class sparse_diagonal_product_inner_iterator_selector
-<Lhs,Rhs,SparseDiagonalProductType,SDP_IsSparseRowMajor,SDP_IsDiagonal>
-  : public CwiseBinaryOp<
-      scalar_product_op<typename Rhs::Scalar>,
-      SparseInnerVectorSet<Lhs,1>,
-      Transpose<const typename Rhs::DiagonalVectorType> >::InnerIterator
-{
-    typedef typename CwiseBinaryOp<
-      scalar_product_op<typename Rhs::Scalar>,
-      SparseInnerVectorSet<Lhs,1>,
-      Transpose<const typename Rhs::DiagonalVectorType> >::InnerIterator Base;
-    typedef typename Lhs::Index Index;
-  public:
-    inline sparse_diagonal_product_inner_iterator_selector(
-              const SparseDiagonalProductType& expr, Index outer)
-      : Base(expr.lhs().innerVector(outer) .cwiseProduct(expr.rhs().diagonal().transpose()), 0)
-    {}
-};
-
-} // end namespace internal
-
-// SparseMatrixBase functions
-
-template<typename Derived>
-template<typename OtherDerived>
-const SparseDiagonalProduct<Derived,OtherDerived>
-SparseMatrixBase<Derived>::operator*(const DiagonalBase<OtherDerived> &other) const
-{
-  return SparseDiagonalProduct<Derived,OtherDerived>(this->derived(), other.derived());
-}
-
-#endif // EIGEN_SPARSE_DIAGONAL_PRODUCT_H
diff --git a/extern/Eigen3/Eigen/src/Sparse/SparseDot.h b/extern/Eigen3/Eigen/src/Sparse/SparseDot.h
deleted file mode 100644
index 1f10f71a402..00000000000
--- a/extern/Eigen3/Eigen/src/Sparse/SparseDot.h
+++ /dev/null
@@ -1,97 +0,0 @@
-// This file is part of Eigen, a lightweight C++ template library
-// for linear algebra.
-//
-// Copyright (C) 2008 Gael Guennebaud <gael.guennebaud@inria.fr>
-//
-// Eigen is free software; you can redistribute it and/or
-// modify it under the terms of the GNU Lesser General Public
-// License as published by the Free Software Foundation; either
-// version 3 of the License, or (at your option) any later version.
-//
-// Alternatively, you can redistribute it and/or
-// modify it under the terms of the GNU General Public License as
-// published by the Free Software Foundation; either version 2 of
-// the License, or (at your option) any later version.
-//
-// Eigen is distributed in the hope that it will be useful, but WITHOUT ANY
-// WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS
-// FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License or the
-// GNU General Public License for more details.
-//
-// You should have received a copy of the GNU Lesser General Public
-// License and a copy of the GNU General Public License along with
-// Eigen. If not, see <http://www.gnu.org/licenses/>.
-
-#ifndef EIGEN_SPARSE_DOT_H
-#define EIGEN_SPARSE_DOT_H
-
-template<typename Derived>
-template<typename OtherDerived>
-typename internal::traits<Derived>::Scalar
-SparseMatrixBase<Derived>::dot(const MatrixBase<OtherDerived>& other) const
-{
-  EIGEN_STATIC_ASSERT_VECTOR_ONLY(Derived)
-  EIGEN_STATIC_ASSERT_VECTOR_ONLY(OtherDerived)
-  EIGEN_STATIC_ASSERT_SAME_VECTOR_SIZE(Derived,OtherDerived)
-  EIGEN_STATIC_ASSERT((internal::is_same<Scalar, typename OtherDerived::Scalar>::value),
-    YOU_MIXED_DIFFERENT_NUMERIC_TYPES__YOU_NEED_TO_USE_THE_CAST_METHOD_OF_MATRIXBASE_TO_CAST_NUMERIC_TYPES_EXPLICITLY)
-
-  eigen_assert(size() == other.size());
-  eigen_assert(other.size()>0 && "you are using a non initialized vector");
-
-  typename Derived::InnerIterator i(derived(),0);
-  Scalar res = 0;
-  while (i)
-  {
-    res += internal::conj(i.value()) * other.coeff(i.index());
-    ++i;
-  }
-  return res;
-}
-
-template<typename Derived>
-template<typename OtherDerived>
-typename internal::traits<Derived>::Scalar
-SparseMatrixBase<Derived>::dot(const SparseMatrixBase<OtherDerived>& other) const
-{
-  EIGEN_STATIC_ASSERT_VECTOR_ONLY(Derived)
-  EIGEN_STATIC_ASSERT_VECTOR_ONLY(OtherDerived)
-  EIGEN_STATIC_ASSERT_SAME_VECTOR_SIZE(Derived,OtherDerived)
-  EIGEN_STATIC_ASSERT((internal::is_same<Scalar, typename OtherDerived::Scalar>::value),
-    YOU_MIXED_DIFFERENT_NUMERIC_TYPES__YOU_NEED_TO_USE_THE_CAST_METHOD_OF_MATRIXBASE_TO_CAST_NUMERIC_TYPES_EXPLICITLY)
-
-  eigen_assert(size() == other.size());
-
-  typename Derived::InnerIterator i(derived(),0);
-  typename OtherDerived::InnerIterator j(other.derived(),0);
-  Scalar res = 0;
-  while (i && j)
-  {
-    if (i.index()==j.index())
-    {
-      res += internal::conj(i.value()) * j.value();
-      ++i; ++j;
-    }
-    else if (i.index()<j.index())
-      ++i;
-    else
-      ++j;
-  }
-  return res;
-}
-
-template<typename Derived>
-inline typename NumTraits<typename internal::traits<Derived>::Scalar>::Real
-SparseMatrixBase<Derived>::squaredNorm() const
-{
-  return internal::real((*this).cwiseAbs2().sum());
-}
-
-template<typename Derived>
-inline typename NumTraits<typename internal::traits<Derived>::Scalar>::Real
-SparseMatrixBase<Derived>::norm() const
-{
-  return internal::sqrt(squaredNorm());
-}
-
-#endif // EIGEN_SPARSE_DOT_H
diff --git a/extern/Eigen3/Eigen/src/Sparse/SparseFuzzy.h b/extern/Eigen3/Eigen/src/Sparse/SparseFuzzy.h
deleted file mode 100644
index f00b3d6469b..00000000000
--- a/extern/Eigen3/Eigen/src/Sparse/SparseFuzzy.h
+++ /dev/null
@@ -1,41 +0,0 @@
-// This file is part of Eigen, a lightweight C++ template library
-// for linear algebra.
-//
-// Copyright (C) 2008 Gael Guennebaud <gael.guennebaud@inria.fr>
-//
-// Eigen is free software; you can redistribute it and/or
-// modify it under the terms of the GNU Lesser General Public
-// License as published by the Free Software Foundation; either
-// version 3 of the License, or (at your option) any later version.
-//
-// Alternatively, you can redistribute it and/or
-// modify it under the terms of the GNU General Public License as
-// published by the Free Software Foundation; either version 2 of
-// the License, or (at your option) any later version.
-//
-// Eigen is distributed in the hope that it will be useful, but WITHOUT ANY
-// WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS
-// FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License or the
-// GNU General Public License for more details.
-//
-// You should have received a copy of the GNU Lesser General Public
-// License and a copy of the GNU General Public License along with
-// Eigen. If not, see <http://www.gnu.org/licenses/>.
-
-#ifndef EIGEN_SPARSE_FUZZY_H
-#define EIGEN_SPARSE_FUZZY_H
-
-// template<typename Derived>
-// template<typename OtherDerived>
-// bool SparseMatrixBase<Derived>::isApprox(
-//   const OtherDerived& other,
-//   typename NumTraits<Scalar>::Real prec
-// ) const
-// {
-//   const typename internal::nested<Derived,2>::type nested(derived());
-//   const typename internal::nested<OtherDerived,2>::type otherNested(other.derived());
-//   return    (nested - otherNested).cwise().abs2().sum()
-//          <= prec * prec * (std::min)(nested.cwise().abs2().sum(), otherNested.cwise().abs2().sum());
-// }
-
-#endif // EIGEN_SPARSE_FUZZY_H
diff --git a/extern/Eigen3/Eigen/src/Sparse/SparseMatrix.h b/extern/Eigen3/Eigen/src/Sparse/SparseMatrix.h
deleted file mode 100644
index 0e175ec6e71..00000000000
--- a/extern/Eigen3/Eigen/src/Sparse/SparseMatrix.h
+++ /dev/null
@@ -1,651 +0,0 @@
-// This file is part of Eigen, a lightweight C++ template library
-// for linear algebra.
-//
-// Copyright (C) 2008-2010 Gael Guennebaud <gael.guennebaud@inria.fr>
-//
-// Eigen is free software; you can redistribute it and/or
-// modify it under the terms of the GNU Lesser General Public
-// License as published by the Free Software Foundation; either
-// version 3 of the License, or (at your option) any later version.
-//
-// Alternatively, you can redistribute it and/or
-// modify it under the terms of the GNU General Public License as
-// published by the Free Software Foundation; either version 2 of
-// the License, or (at your option) any later version.
-//
-// Eigen is distributed in the hope that it will be useful, but WITHOUT ANY
-// WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS
-// FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License or the
-// GNU General Public License for more details.
-//
-// You should have received a copy of the GNU Lesser General Public
-// License and a copy of the GNU General Public License along with
-// Eigen. If not, see <http://www.gnu.org/licenses/>.
-
-#ifndef EIGEN_SPARSEMATRIX_H
-#define EIGEN_SPARSEMATRIX_H
-
-/** \ingroup Sparse_Module
-  *
-  * \class SparseMatrix
-  *
-  * \brief The main sparse matrix class
-  *
-  * This class implements a sparse matrix using the very common compressed row/column storage
-  * scheme.
-  *
-  * \tparam _Scalar the scalar type, i.e. the type of the coefficients
-  * \tparam _Options Union of bit flags controlling the storage scheme. Currently the only possibility
-  *                 is RowMajor. The default is 0 which means column-major.
-  * \tparam _Index the type of the indices. Default is \c int.
-  *
-  * See http://www.netlib.org/linalg/html_templates/node91.html for details on the storage scheme.
-  *
-  * This class can be extended with the help of the plugin mechanism described on the page
-  * \ref TopicCustomizingEigen by defining the preprocessor symbol \c EIGEN_SPARSEMATRIX_PLUGIN.
-  */
-
-namespace internal {
-template<typename _Scalar, int _Options, typename _Index>
-struct traits<SparseMatrix<_Scalar, _Options, _Index> >
-{
-  typedef _Scalar Scalar;
-  typedef _Index Index;
-  typedef Sparse StorageKind;
-  typedef MatrixXpr XprKind;
-  enum {
-    RowsAtCompileTime = Dynamic,
-    ColsAtCompileTime = Dynamic,
-    MaxRowsAtCompileTime = Dynamic,
-    MaxColsAtCompileTime = Dynamic,
-    Flags = _Options | NestByRefBit | LvalueBit,
-    CoeffReadCost = NumTraits<Scalar>::ReadCost,
-    SupportedAccessPatterns = InnerRandomAccessPattern
-  };
-};
-
-} // end namespace internal
-
-template<typename _Scalar, int _Options, typename _Index>
-class SparseMatrix
-  : public SparseMatrixBase<SparseMatrix<_Scalar, _Options, _Index> >
-{
-  public:
-    EIGEN_SPARSE_PUBLIC_INTERFACE(SparseMatrix)
-//     using Base::operator=;
-    EIGEN_SPARSE_INHERIT_ASSIGNMENT_OPERATOR(SparseMatrix, +=)
-    EIGEN_SPARSE_INHERIT_ASSIGNMENT_OPERATOR(SparseMatrix, -=)
-    // FIXME: why are these operator already alvailable ???
-    // EIGEN_SPARSE_INHERIT_SCALAR_ASSIGNMENT_OPERATOR(SparseMatrix, *=)
-    // EIGEN_SPARSE_INHERIT_SCALAR_ASSIGNMENT_OPERATOR(SparseMatrix, /=)
-
-    typedef MappedSparseMatrix<Scalar,Flags> Map;
-    using Base::IsRowMajor;
-    typedef CompressedStorage<Scalar,Index> Storage;
-    enum {
-      Options = _Options
-    };
-
-  protected:
-
-    typedef SparseMatrix<Scalar,(Flags&~RowMajorBit)|(IsRowMajor?RowMajorBit:0)> TransposedSparseMatrix;
-
-    Index m_outerSize;
-    Index m_innerSize;
-    Index* m_outerIndex;
-    CompressedStorage<Scalar,Index> m_data;
-
-  public:
-
-    inline Index rows() const { return IsRowMajor ? m_outerSize : m_innerSize; }
-    inline Index cols() const { return IsRowMajor ? m_innerSize : m_outerSize; }
-
-    inline Index innerSize() const { return m_innerSize; }
-    inline Index outerSize() const { return m_outerSize; }
-    inline Index innerNonZeros(Index j) const { return m_outerIndex[j+1]-m_outerIndex[j]; }
-
-    inline const Scalar* _valuePtr() const { return &m_data.value(0); }
-    inline Scalar* _valuePtr() { return &m_data.value(0); }
-
-    inline const Index* _innerIndexPtr() const { return &m_data.index(0); }
-    inline Index* _innerIndexPtr() { return &m_data.index(0); }
-
-    inline const Index* _outerIndexPtr() const { return m_outerIndex; }
-    inline Index* _outerIndexPtr() { return m_outerIndex; }
-
-    inline Storage& data() { return m_data; }
-    inline const Storage& data() const { return m_data; }
-
-    inline Scalar coeff(Index row, Index col) const
-    {
-      const Index outer = IsRowMajor ? row : col;
-      const Index inner = IsRowMajor ? col : row;
-      return m_data.atInRange(m_outerIndex[outer], m_outerIndex[outer+1], inner);
-    }
-
-    inline Scalar& coeffRef(Index row, Index col)
-    {
-      const Index outer = IsRowMajor ? row : col;
-      const Index inner = IsRowMajor ? col : row;
-
-      Index start = m_outerIndex[outer];
-      Index end = m_outerIndex[outer+1];
-      eigen_assert(end>=start && "you probably called coeffRef on a non finalized matrix");
-      eigen_assert(end>start && "coeffRef cannot be called on a zero coefficient");
-      const Index p = m_data.searchLowerIndex(start,end-1,inner);
-      eigen_assert((p<end) && (m_data.index(p)==inner) && "coeffRef cannot be called on a zero coefficient");
-      return m_data.value(p);
-    }
-
-  public:
-
-    class InnerIterator;
-
-    /** Removes all non zeros */
-    inline void setZero()
-    {
-      m_data.clear();
-      memset(m_outerIndex, 0, (m_outerSize+1)*sizeof(Index));
-    }
-
-    /** \returns the number of non zero coefficients */
-    inline Index nonZeros() const  { return static_cast<Index>(m_data.size()); }
-
-    /** Preallocates \a reserveSize non zeros */
-    inline void reserve(Index reserveSize)
-    {
-      m_data.reserve(reserveSize);
-    }
-
-    //--- low level purely coherent filling ---
-
-    /** \returns a reference to the non zero coefficient at position \a row, \a col assuming that:
-      * - the nonzero does not already exist
-      * - the new coefficient is the last one according to the storage order
-      *
-      * Before filling a given inner vector you must call the statVec(Index) function.
-      *
-      * After an insertion session, you should call the finalize() function.
-      *
-      * \sa insert, insertBackByOuterInner, startVec */
-    inline Scalar& insertBack(Index row, Index col)
-    {
-      return insertBackByOuterInner(IsRowMajor?row:col, IsRowMajor?col:row);
-    }
-
-    /** \sa insertBack, startVec */
-    inline Scalar& insertBackByOuterInner(Index outer, Index inner)
-    {
-      eigen_assert(size_t(m_outerIndex[outer+1]) == m_data.size() && "Invalid ordered insertion (invalid outer index)");
-      eigen_assert( (m_outerIndex[outer+1]-m_outerIndex[outer]==0 || m_data.index(m_data.size()-1)<inner) && "Invalid ordered insertion (invalid inner index)");
-      Index p = m_outerIndex[outer+1];
-      ++m_outerIndex[outer+1];
-      m_data.append(0, inner);
-      return m_data.value(p);
-    }
-
-    /** \warning use it only if you know what you are doing */
-    inline Scalar& insertBackByOuterInnerUnordered(Index outer, Index inner)
-    {
-      Index p = m_outerIndex[outer+1];
-      ++m_outerIndex[outer+1];
-      m_data.append(0, inner);
-      return m_data.value(p);
-    }
-
-    /** \sa insertBack, insertBackByOuterInner */
-    inline void startVec(Index outer)
-    {
-      eigen_assert(m_outerIndex[outer]==int(m_data.size()) && "You must call startVec for each inner vector sequentially");
-      eigen_assert(m_outerIndex[outer+1]==0 && "You must call startVec for each inner vector sequentially");
-      m_outerIndex[outer+1] = m_outerIndex[outer];
-    }
-
-    //---
-
-    /** \returns a reference to a novel non zero coefficient with coordinates \a row x \a col.
-      * The non zero coefficient must \b not already exist.
-      *
-      * \warning This function can be extremely slow if the non zero coefficients
-      * are not inserted in a coherent order.
-      *
-      * After an insertion session, you should call the finalize() function.
-      */
-    EIGEN_DONT_INLINE Scalar& insert(Index row, Index col)
-    {
-      const Index outer = IsRowMajor ? row : col;
-      const Index inner = IsRowMajor ? col : row;
-
-      Index previousOuter = outer;
-      if (m_outerIndex[outer+1]==0)
-      {
-        // we start a new inner vector
-        while (previousOuter>=0 && m_outerIndex[previousOuter]==0)
-        {
-          m_outerIndex[previousOuter] = static_cast<Index>(m_data.size());
-          --previousOuter;
-        }
-        m_outerIndex[outer+1] = m_outerIndex[outer];
-      }
-
-      // here we have to handle the tricky case where the outerIndex array
-      // starts with: [ 0 0 0 0 0 1 ...] and we are inserting in, e.g.,
-      // the 2nd inner vector...
-      bool isLastVec = (!(previousOuter==-1 && m_data.size()!=0))
-                    && (size_t(m_outerIndex[outer+1]) == m_data.size());
-
-      size_t startId = m_outerIndex[outer];
-      // FIXME let's make sure sizeof(long int) == sizeof(size_t)
-      size_t p = m_outerIndex[outer+1];
-      ++m_outerIndex[outer+1];
-
-      float reallocRatio = 1;
-      if (m_data.allocatedSize()<=m_data.size())
-      {
-        // if there is no preallocated memory, let's reserve a minimum of 32 elements
-        if (m_data.size()==0)
-        {
-          m_data.reserve(32);
-        }
-        else
-        {
-          // we need to reallocate the data, to reduce multiple reallocations
-          // we use a smart resize algorithm based on the current filling ratio
-          // in addition, we use float to avoid integers overflows
-          float nnzEstimate = float(m_outerIndex[outer])*float(m_outerSize)/float(outer+1);
-          reallocRatio = (nnzEstimate-float(m_data.size()))/float(m_data.size());
-          // furthermore we bound the realloc ratio to:
-          //   1) reduce multiple minor realloc when the matrix is almost filled
-          //   2) avoid to allocate too much memory when the matrix is almost empty
-          reallocRatio = (std::min)((std::max)(reallocRatio,1.5f),8.f);
-        }
-      }
-      m_data.resize(m_data.size()+1,reallocRatio);
-
-      if (!isLastVec)
-      {
-        if (previousOuter==-1)
-        {
-          // oops wrong guess.
-          // let's correct the outer offsets
-          for (Index k=0; k<=(outer+1); ++k)
-            m_outerIndex[k] = 0;
-          Index k=outer+1;
-          while(m_outerIndex[k]==0)
-            m_outerIndex[k++] = 1;
-          while (k<=m_outerSize && m_outerIndex[k]!=0)
-            m_outerIndex[k++]++;
-          p = 0;
-          --k;
-          k = m_outerIndex[k]-1;
-          while (k>0)
-          {
-            m_data.index(k) = m_data.index(k-1);
-            m_data.value(k) = m_data.value(k-1);
-            k--;
-          }
-        }
-        else
-        {
-          // we are not inserting into the last inner vec
-          // update outer indices:
-          Index j = outer+2;
-          while (j<=m_outerSize && m_outerIndex[j]!=0)
-            m_outerIndex[j++]++;
-          --j;
-          // shift data of last vecs:
-          Index k = m_outerIndex[j]-1;
-          while (k>=Index(p))
-          {
-            m_data.index(k) = m_data.index(k-1);
-            m_data.value(k) = m_data.value(k-1);
-            k--;
-          }
-        }
-      }
-
-      while ( (p > startId) && (m_data.index(p-1) > inner) )
-      {
-        m_data.index(p) = m_data.index(p-1);
-        m_data.value(p) = m_data.value(p-1);
-        --p;
-      }
-
-      m_data.index(p) = inner;
-      return (m_data.value(p) = 0);
-    }
-
-
-
-
-    /** Must be called after inserting a set of non zero entries.
-      */
-    inline void finalize()
-    {
-      Index size = static_cast<Index>(m_data.size());
-      Index i = m_outerSize;
-      // find the last filled column
-      while (i>=0 && m_outerIndex[i]==0)
-        --i;
-      ++i;
-      while (i<=m_outerSize)
-      {
-        m_outerIndex[i] = size;
-        ++i;
-      }
-    }
-
-    /** Suppress all nonzeros which are smaller than \a reference under the tolerence \a epsilon */
-    void prune(Scalar reference, RealScalar epsilon = NumTraits<RealScalar>::dummy_precision())
-    {
-      prune(default_prunning_func(reference,epsilon));
-    }
-    
-    /** Suppress all nonzeros which do not satisfy the predicate \a keep.
-      * The functor type \a KeepFunc must implement the following function:
-      * \code
-      * bool operator() (const Index& row, const Index& col, const Scalar& value) const;
-      * \endcode
-      * \sa prune(Scalar,RealScalar)
-      */
-    template<typename KeepFunc>
-    void prune(const KeepFunc& keep = KeepFunc())
-    {
-      Index k = 0;
-      for(Index j=0; j<m_outerSize; ++j)
-      {
-        Index previousStart = m_outerIndex[j];
-        m_outerIndex[j] = k;
-        Index end = m_outerIndex[j+1];
-        for(Index i=previousStart; i<end; ++i)
-        {
-          if(keep(IsRowMajor?j:m_data.index(i), IsRowMajor?m_data.index(i):j, m_data.value(i)))
-          {
-            m_data.value(k) = m_data.value(i);
-            m_data.index(k) = m_data.index(i);
-            ++k;
-          }
-        }
-      }
-      m_outerIndex[m_outerSize] = k;
-      m_data.resize(k,0);
-    }
-
-    /** Resizes the matrix to a \a rows x \a cols matrix and initializes it to zero
-      * \sa resizeNonZeros(Index), reserve(), setZero()
-      */
-    void resize(Index rows, Index cols)
-    {
-      const Index outerSize = IsRowMajor ? rows : cols;
-      m_innerSize = IsRowMajor ? cols : rows;
-      m_data.clear();
-      if (m_outerSize != outerSize || m_outerSize==0)
-      {
-        delete[] m_outerIndex;
-        m_outerIndex = new Index [outerSize+1];
-        m_outerSize = outerSize;
-      }
-      memset(m_outerIndex, 0, (m_outerSize+1)*sizeof(Index));
-    }
-
-    /** Low level API
-      * Resize the nonzero vector to \a size */
-    void resizeNonZeros(Index size)
-    {
-      m_data.resize(size);
-    }
-
-    /** Default constructor yielding an empty \c 0 \c x \c 0 matrix */
-    inline SparseMatrix()
-      : m_outerSize(-1), m_innerSize(0), m_outerIndex(0)
-    {
-      resize(0, 0);
-    }
-
-    /** Constructs a \a rows \c x \a cols empty matrix */
-    inline SparseMatrix(Index rows, Index cols)
-      : m_outerSize(0), m_innerSize(0), m_outerIndex(0)
-    {
-      resize(rows, cols);
-    }
-
-    /** Constructs a sparse matrix from the sparse expression \a other */
-    template<typename OtherDerived>
-    inline SparseMatrix(const SparseMatrixBase<OtherDerived>& other)
-      : m_outerSize(0), m_innerSize(0), m_outerIndex(0)
-    {
-      *this = other.derived();
-    }
-
-    /** Copy constructor */
-    inline SparseMatrix(const SparseMatrix& other)
-      : Base(), m_outerSize(0), m_innerSize(0), m_outerIndex(0)
-    {
-      *this = other.derived();
-    }
-
-    /** Swap the content of two sparse matrices of same type (optimization) */
-    inline void swap(SparseMatrix& other)
-    {
-      //EIGEN_DBG_SPARSE(std::cout << "SparseMatrix:: swap\n");
-      std::swap(m_outerIndex, other.m_outerIndex);
-      std::swap(m_innerSize, other.m_innerSize);
-      std::swap(m_outerSize, other.m_outerSize);
-      m_data.swap(other.m_data);
-    }
-
-    inline SparseMatrix& operator=(const SparseMatrix& other)
-    {
-//       std::cout << "SparseMatrix& operator=(const SparseMatrix& other)\n";
-      if (other.isRValue())
-      {
-        swap(other.const_cast_derived());
-      }
-      else
-      {
-        resize(other.rows(), other.cols());
-        memcpy(m_outerIndex, other.m_outerIndex, (m_outerSize+1)*sizeof(Index));
-        m_data = other.m_data;
-      }
-      return *this;
-    }
-
-    #ifndef EIGEN_PARSED_BY_DOXYGEN
-    template<typename Lhs, typename Rhs>
-    inline SparseMatrix& operator=(const SparseSparseProduct<Lhs,Rhs>& product)
-    { return Base::operator=(product); }
-    
-    template<typename OtherDerived>
-    inline SparseMatrix& operator=(const ReturnByValue<OtherDerived>& other)
-    { return Base::operator=(other); }
-    
-    template<typename OtherDerived>
-    inline SparseMatrix& operator=(const EigenBase<OtherDerived>& other)
-    { return Base::operator=(other); }
-    #endif
-
-    template<typename OtherDerived>
-    EIGEN_DONT_INLINE SparseMatrix& operator=(const SparseMatrixBase<OtherDerived>& other)
-    {
-      const bool needToTranspose = (Flags & RowMajorBit) != (OtherDerived::Flags & RowMajorBit);
-      if (needToTranspose)
-      {
-        // two passes algorithm:
-        //  1 - compute the number of coeffs per dest inner vector
-        //  2 - do the actual copy/eval
-        // Since each coeff of the rhs has to be evaluated twice, let's evaluate it if needed
-        typedef typename internal::nested<OtherDerived,2>::type OtherCopy;
-        typedef typename internal::remove_all<OtherCopy>::type _OtherCopy;
-        OtherCopy otherCopy(other.derived());
-
-        resize(other.rows(), other.cols());
-        Eigen::Map<Matrix<Index, Dynamic, 1> > (m_outerIndex,outerSize()).setZero();
-        // pass 1
-        // FIXME the above copy could be merged with that pass
-        for (Index j=0; j<otherCopy.outerSize(); ++j)
-          for (typename _OtherCopy::InnerIterator it(otherCopy, j); it; ++it)
-            ++m_outerIndex[it.index()];
-
-        // prefix sum
-        Index count = 0;
-        VectorXi positions(outerSize());
-        for (Index j=0; j<outerSize(); ++j)
-        {
-          Index tmp = m_outerIndex[j];
-          m_outerIndex[j] = count;
-          positions[j] = count;
-          count += tmp;
-        }
-        m_outerIndex[outerSize()] = count;
-        // alloc
-        m_data.resize(count);
-        // pass 2
-        for (Index j=0; j<otherCopy.outerSize(); ++j)
-        {
-          for (typename _OtherCopy::InnerIterator it(otherCopy, j); it; ++it)
-          {
-            Index pos = positions[it.index()]++;
-            m_data.index(pos) = j;
-            m_data.value(pos) = it.value();
-          }
-        }
-        return *this;
-      }
-      else
-      {
-        // there is no special optimization
-        return SparseMatrixBase<SparseMatrix>::operator=(other.derived());
-      }
-    }
-
-    friend std::ostream & operator << (std::ostream & s, const SparseMatrix& m)
-    {
-      EIGEN_DBG_SPARSE(
-        s << "Nonzero entries:\n";
-        for (Index i=0; i<m.nonZeros(); ++i)
-        {
-          s << "(" << m.m_data.value(i) << "," << m.m_data.index(i) << ") ";
-        }
-        s << std::endl;
-        s << std::endl;
-        s << "Column pointers:\n";
-        for (Index i=0; i<m.outerSize(); ++i)
-        {
-          s << m.m_outerIndex[i] << " ";
-        }
-        s << " $" << std::endl;
-        s << std::endl;
-      );
-      s << static_cast<const SparseMatrixBase<SparseMatrix>&>(m);
-      return s;
-    }
-
-    /** Destructor */
-    inline ~SparseMatrix()
-    {
-      delete[] m_outerIndex;
-    }
-
-    /** Overloaded for performance */
-    Scalar sum() const;
-
-  public:
-
-    /** \deprecated use setZero() and reserve()
-      * Initializes the filling process of \c *this.
-      * \param reserveSize approximate number of nonzeros
-      * Note that the matrix \c *this is zero-ed.
-      */
-    EIGEN_DEPRECATED void startFill(Index reserveSize = 1000)
-    {
-      setZero();
-      m_data.reserve(reserveSize);
-    }
-
-    /** \deprecated use insert()
-      * Like fill() but with random inner coordinates.
-      */
-    EIGEN_DEPRECATED Scalar& fillrand(Index row, Index col)
-    {
-      return insert(row,col);
-    }
-
-    /** \deprecated use insert()
-      */
-    EIGEN_DEPRECATED Scalar& fill(Index row, Index col)
-    {
-      const Index outer = IsRowMajor ? row : col;
-      const Index inner = IsRowMajor ? col : row;
-
-      if (m_outerIndex[outer+1]==0)
-      {
-        // we start a new inner vector
-        Index i = outer;
-        while (i>=0 && m_outerIndex[i]==0)
-        {
-          m_outerIndex[i] = m_data.size();
-          --i;
-        }
-        m_outerIndex[outer+1] = m_outerIndex[outer];
-      }
-      else
-      {
-        eigen_assert(m_data.index(m_data.size()-1)<inner && "wrong sorted insertion");
-      }
-//       std::cerr << size_t(m_outerIndex[outer+1]) << " == " << m_data.size() << "\n";
-      assert(size_t(m_outerIndex[outer+1]) == m_data.size());
-      Index p = m_outerIndex[outer+1];
-      ++m_outerIndex[outer+1];
-
-      m_data.append(0, inner);
-      return m_data.value(p);
-    }
-
-    /** \deprecated use finalize */
-    EIGEN_DEPRECATED void endFill() { finalize(); }
-    
-#   ifdef EIGEN_SPARSEMATRIX_PLUGIN
-#     include EIGEN_SPARSEMATRIX_PLUGIN
-#   endif
-
-private:
-  struct default_prunning_func {
-    default_prunning_func(Scalar ref, RealScalar eps) : reference(ref), epsilon(eps) {}
-    inline bool operator() (const Index&, const Index&, const Scalar& value) const
-    {
-      return !internal::isMuchSmallerThan(value, reference, epsilon);
-    }
-    Scalar reference;
-    RealScalar epsilon;
-  };
-};
-
-template<typename Scalar, int _Options, typename _Index>
-class SparseMatrix<Scalar,_Options,_Index>::InnerIterator
-{
-  public:
-    InnerIterator(const SparseMatrix& mat, Index outer)
-      : m_values(mat._valuePtr()), m_indices(mat._innerIndexPtr()), m_outer(outer), m_id(mat.m_outerIndex[outer]), m_end(mat.m_outerIndex[outer+1])
-    {}
-
-    inline InnerIterator& operator++() { m_id++; return *this; }
-
-    inline const Scalar& value() const { return m_values[m_id]; }
-    inline Scalar& valueRef() { return const_cast<Scalar&>(m_values[m_id]); }
-
-    inline Index index() const { return m_indices[m_id]; }
-    inline Index outer() const { return m_outer; }
-    inline Index row() const { return IsRowMajor ? m_outer : index(); }
-    inline Index col() const { return IsRowMajor ? index() : m_outer; }
-
-    inline operator bool() const { return (m_id < m_end); }
-
-  protected:
-    const Scalar* m_values;
-    const Index* m_indices;
-    const Index m_outer;
-    Index m_id;
-    const Index m_end;
-};
-
-#endif // EIGEN_SPARSEMATRIX_H
diff --git a/extern/Eigen3/Eigen/src/Sparse/SparseMatrixBase.h b/extern/Eigen3/Eigen/src/Sparse/SparseMatrixBase.h
deleted file mode 100644
index c01981bc935..00000000000
--- a/extern/Eigen3/Eigen/src/Sparse/SparseMatrixBase.h
+++ /dev/null
@@ -1,706 +0,0 @@
-// This file is part of Eigen, a lightweight C++ template library
-// for linear algebra.
-//
-// Copyright (C) 2008-2009 Gael Guennebaud <gael.guennebaud@inria.fr>
-//
-// Eigen is free software; you can redistribute it and/or
-// modify it under the terms of the GNU Lesser General Public
-// License as published by the Free Software Foundation; either
-// version 3 of the License, or (at your option) any later version.
-//
-// Alternatively, you can redistribute it and/or
-// modify it under the terms of the GNU General Public License as
-// published by the Free Software Foundation; either version 2 of
-// the License, or (at your option) any later version.
-//
-// Eigen is distributed in the hope that it will be useful, but WITHOUT ANY
-// WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS
-// FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License or the
-// GNU General Public License for more details.
-//
-// You should have received a copy of the GNU Lesser General Public
-// License and a copy of the GNU General Public License along with
-// Eigen. If not, see <http://www.gnu.org/licenses/>.
-
-#ifndef EIGEN_SPARSEMATRIXBASE_H
-#define EIGEN_SPARSEMATRIXBASE_H
-
-/** \ingroup Sparse_Module
-  *
-  * \class SparseMatrixBase
-  *
-  * \brief Base class of any sparse matrices or sparse expressions
-  *
-  * \tparam Derived
-  *
-  * This class can be extended with the help of the plugin mechanism described on the page
-  * \ref TopicCustomizingEigen by defining the preprocessor symbol \c EIGEN_SPARSEMATRIXBASE_PLUGIN.
-  */
-template<typename Derived> class SparseMatrixBase : public EigenBase<Derived>
-{
-  public:
-
-    typedef typename internal::traits<Derived>::Scalar Scalar;
-    typedef typename internal::packet_traits<Scalar>::type PacketScalar;
-    typedef typename internal::traits<Derived>::StorageKind StorageKind;
-    typedef typename internal::traits<Derived>::Index Index;
-
-    typedef SparseMatrixBase StorageBaseType;
-    typedef EigenBase<Derived> Base;
-    
-    template<typename OtherDerived>
-    Derived& operator=(const EigenBase<OtherDerived> &other)
-    {
-      other.derived().evalTo(derived());
-      return derived();
-    }
-    
-//     using Base::operator=;
-
-    enum {
-
-      RowsAtCompileTime = internal::traits<Derived>::RowsAtCompileTime,
-        /**< The number of rows at compile-time. This is just a copy of the value provided
-          * by the \a Derived type. If a value is not known at compile-time,
-          * it is set to the \a Dynamic constant.
-          * \sa MatrixBase::rows(), MatrixBase::cols(), ColsAtCompileTime, SizeAtCompileTime */
-
-      ColsAtCompileTime = internal::traits<Derived>::ColsAtCompileTime,
-        /**< The number of columns at compile-time. This is just a copy of the value provided
-          * by the \a Derived type. If a value is not known at compile-time,
-          * it is set to the \a Dynamic constant.
-          * \sa MatrixBase::rows(), MatrixBase::cols(), RowsAtCompileTime, SizeAtCompileTime */
-
-
-      SizeAtCompileTime = (internal::size_at_compile_time<internal::traits<Derived>::RowsAtCompileTime,
-                                                   internal::traits<Derived>::ColsAtCompileTime>::ret),
-        /**< This is equal to the number of coefficients, i.e. the number of
-          * rows times the number of columns, or to \a Dynamic if this is not
-          * known at compile-time. \sa RowsAtCompileTime, ColsAtCompileTime */
-
-      MaxRowsAtCompileTime = RowsAtCompileTime,
-      MaxColsAtCompileTime = ColsAtCompileTime,
-
-      MaxSizeAtCompileTime = (internal::size_at_compile_time<MaxRowsAtCompileTime,
-                                                      MaxColsAtCompileTime>::ret),
-
-      IsVectorAtCompileTime = RowsAtCompileTime == 1 || ColsAtCompileTime == 1,
-        /**< This is set to true if either the number of rows or the number of
-          * columns is known at compile-time to be equal to 1. Indeed, in that case,
-          * we are dealing with a column-vector (if there is only one column) or with
-          * a row-vector (if there is only one row). */
-
-      Flags = internal::traits<Derived>::Flags,
-        /**< This stores expression \ref flags flags which may or may not be inherited by new expressions
-          * constructed from this one. See the \ref flags "list of flags".
-          */
-
-      CoeffReadCost = internal::traits<Derived>::CoeffReadCost,
-        /**< This is a rough measure of how expensive it is to read one coefficient from
-          * this expression.
-          */
-
-      IsRowMajor = Flags&RowMajorBit ? 1 : 0,
-
-      #ifndef EIGEN_PARSED_BY_DOXYGEN
-      _HasDirectAccess = (int(Flags)&DirectAccessBit) ? 1 : 0 // workaround sunCC
-      #endif
-    };
-
-    /* \internal the return type of MatrixBase::conjugate() */
-//     typedef typename internal::conditional<NumTraits<Scalar>::IsComplex,
-//                         const SparseCwiseUnaryOp<internal::scalar_conjugate_op<Scalar>, Derived>,
-//                         const Derived&
-//                      >::type ConjugateReturnType;
-    /* \internal the return type of MatrixBase::real() */
-//     typedef SparseCwiseUnaryOp<internal::scalar_real_op<Scalar>, Derived> RealReturnType;
-    /* \internal the return type of MatrixBase::imag() */
-//     typedef SparseCwiseUnaryOp<internal::scalar_imag_op<Scalar>, Derived> ImagReturnType;
-    /** \internal the return type of MatrixBase::adjoint() */
-    typedef typename internal::conditional<NumTraits<Scalar>::IsComplex,
-                        CwiseUnaryOp<internal::scalar_conjugate_op<Scalar>, Eigen::Transpose<const Derived> >,
-                        Transpose<const Derived>
-                     >::type AdjointReturnType;
-
-
-    typedef SparseMatrix<Scalar, Flags&RowMajorBit ? RowMajor : ColMajor> PlainObject;
-
-#define EIGEN_CURRENT_STORAGE_BASE_CLASS Eigen::SparseMatrixBase
-#   include "../plugins/CommonCwiseUnaryOps.h"
-#   include "../plugins/CommonCwiseBinaryOps.h"
-#   include "../plugins/MatrixCwiseUnaryOps.h"
-#   include "../plugins/MatrixCwiseBinaryOps.h"
-#   ifdef EIGEN_SPARSEMATRIXBASE_PLUGIN
-#     include EIGEN_SPARSEMATRIXBASE_PLUGIN
-#   endif
-#   undef EIGEN_CURRENT_STORAGE_BASE_CLASS
-#undef EIGEN_CURRENT_STORAGE_BASE_CLASS
-
-#ifndef EIGEN_PARSED_BY_DOXYGEN
-    /** This is the "real scalar" type; if the \a Scalar type is already real numbers
-      * (e.g. int, float or double) then \a RealScalar is just the same as \a Scalar. If
-      * \a Scalar is \a std::complex<T> then RealScalar is \a T.
-      *
-      * \sa class NumTraits
-      */
-    typedef typename NumTraits<Scalar>::Real RealScalar;
-
-    /** \internal the return type of coeff()
-      */
-    typedef typename internal::conditional<_HasDirectAccess, const Scalar&, Scalar>::type CoeffReturnType;
-
-    /** \internal Represents a matrix with all coefficients equal to one another*/
-    typedef CwiseNullaryOp<internal::scalar_constant_op<Scalar>,Matrix<Scalar,Dynamic,Dynamic> > ConstantReturnType;
-
-    /** type of the equivalent square matrix */
-    typedef Matrix<Scalar,EIGEN_SIZE_MAX(RowsAtCompileTime,ColsAtCompileTime),
-                          EIGEN_SIZE_MAX(RowsAtCompileTime,ColsAtCompileTime)> SquareMatrixType;
-
-    inline const Derived& derived() const { return *static_cast<const Derived*>(this); }
-    inline Derived& derived() { return *static_cast<Derived*>(this); }
-    inline Derived& const_cast_derived() const
-    { return *static_cast<Derived*>(const_cast<SparseMatrixBase*>(this)); }
-#endif // not EIGEN_PARSED_BY_DOXYGEN
-
-    /** \returns the number of rows. \sa cols(), RowsAtCompileTime */
-    inline Index rows() const { return derived().rows(); }
-    /** \returns the number of columns. \sa rows(), ColsAtCompileTime*/
-    inline Index cols() const { return derived().cols(); }
-    /** \returns the number of coefficients, which is \a rows()*cols().
-      * \sa rows(), cols(), SizeAtCompileTime. */
-    inline Index size() const { return rows() * cols(); }
-    /** \returns the number of nonzero coefficients which is in practice the number
-      * of stored coefficients. */
-    inline Index nonZeros() const { return derived().nonZeros(); }
-    /** \returns true if either the number of rows or the number of columns is equal to 1.
-      * In other words, this function returns
-      * \code rows()==1 || cols()==1 \endcode
-      * \sa rows(), cols(), IsVectorAtCompileTime. */
-    inline bool isVector() const { return rows()==1 || cols()==1; }
-    /** \returns the size of the storage major dimension,
-      * i.e., the number of columns for a columns major matrix, and the number of rows otherwise */
-    Index outerSize() const { return (int(Flags)&RowMajorBit) ? this->rows() : this->cols(); }
-    /** \returns the size of the inner dimension according to the storage order,
-      * i.e., the number of rows for a columns major matrix, and the number of cols otherwise */
-    Index innerSize() const { return (int(Flags)&RowMajorBit) ? this->cols() : this->rows(); }
-
-    bool isRValue() const { return m_isRValue; }
-    Derived& markAsRValue() { m_isRValue = true; return derived(); }
-
-    SparseMatrixBase() : m_isRValue(false) { /* TODO check flags */ }
-    
-    inline Derived& operator=(const Derived& other)
-    {
-//       std::cout << "Derived& operator=(const Derived& other)\n";
-//       if (other.isRValue())
-//         derived().swap(other.const_cast_derived());
-//       else
-        this->operator=<Derived>(other);
-      return derived();
-    }
-    
-    template<typename OtherDerived>
-    Derived& operator=(const ReturnByValue<OtherDerived>& other)
-    {
-      other.evalTo(derived());
-      return derived();
-    }
-
-
-    template<typename OtherDerived>
-    inline void assignGeneric(const OtherDerived& other)
-    {
-//       std::cout << "Derived& operator=(const MatrixBase<OtherDerived>& other)\n";
-      //const bool transpose = (Flags & RowMajorBit) != (OtherDerived::Flags & RowMajorBit);
-      eigen_assert(( ((internal::traits<Derived>::SupportedAccessPatterns&OuterRandomAccessPattern)==OuterRandomAccessPattern) ||
-                  (!((Flags & RowMajorBit) != (OtherDerived::Flags & RowMajorBit)))) &&
-                  "the transpose operation is supposed to be handled in SparseMatrix::operator=");
-
-      enum { Flip = (Flags & RowMajorBit) != (OtherDerived::Flags & RowMajorBit) };
-
-      const Index outerSize = other.outerSize();
-      //typedef typename internal::conditional<transpose, LinkedVectorMatrix<Scalar,Flags&RowMajorBit>, Derived>::type TempType;
-      // thanks to shallow copies, we always eval to a tempary
-      Derived temp(other.rows(), other.cols());
-
-      temp.reserve((std::max)(this->rows(),this->cols())*2);
-      for (Index j=0; j<outerSize; ++j)
-      {
-        temp.startVec(j);
-        for (typename OtherDerived::InnerIterator it(other.derived(), j); it; ++it)
-        {
-          Scalar v = it.value();
-          if (v!=Scalar(0))
-            temp.insertBackByOuterInner(Flip?it.index():j,Flip?j:it.index()) = v;
-        }
-      }
-      temp.finalize();
-
-      derived() = temp.markAsRValue();
-    }
-
-
-    template<typename OtherDerived>
-    inline Derived& operator=(const SparseMatrixBase<OtherDerived>& other)
-    {
-//       std::cout << typeid(OtherDerived).name() << "\n";
-//       std::cout << Flags << " " << OtherDerived::Flags << "\n";
-      const bool transpose = (Flags & RowMajorBit) != (OtherDerived::Flags & RowMajorBit);
-//       std::cout << "eval transpose = " << transpose << "\n";
-      const Index outerSize = (int(OtherDerived::Flags) & RowMajorBit) ? other.rows() : other.cols();
-      if ((!transpose) && other.isRValue())
-      {
-        // eval without temporary
-        derived().resize(other.rows(), other.cols());
-        derived().setZero();
-        derived().reserve((std::max)(this->rows(),this->cols())*2);
-        for (Index j=0; j<outerSize; ++j)
-        {
-          derived().startVec(j);
-          for (typename OtherDerived::InnerIterator it(other.derived(), j); it; ++it)
-          {
-            Scalar v = it.value();
-            if (v!=Scalar(0))
-              derived().insertBackByOuterInner(j,it.index()) = v;
-          }
-        }
-        derived().finalize();
-      }
-      else
-      {
-        assignGeneric(other.derived());
-      }
-      return derived();
-    }
-
-    template<typename Lhs, typename Rhs>
-    inline Derived& operator=(const SparseSparseProduct<Lhs,Rhs>& product);
-
-    template<typename Lhs, typename Rhs>
-    inline void _experimentalNewProduct(const Lhs& lhs, const Rhs& rhs);
-
-    friend std::ostream & operator << (std::ostream & s, const SparseMatrixBase& m)
-    {
-      if (Flags&RowMajorBit)
-      {
-        for (Index row=0; row<m.outerSize(); ++row)
-        {
-          Index col = 0;
-          for (typename Derived::InnerIterator it(m.derived(), row); it; ++it)
-          {
-            for ( ; col<it.index(); ++col)
-              s << "0 ";
-            s << it.value() << " ";
-            ++col;
-          }
-          for ( ; col<m.cols(); ++col)
-            s << "0 ";
-          s << std::endl;
-        }
-      }
-      else
-      {
-        if (m.cols() == 1) {
-          Index row = 0;
-          for (typename Derived::InnerIterator it(m.derived(), 0); it; ++it)
-          {
-            for ( ; row<it.index(); ++row)
-              s << "0" << std::endl;
-            s << it.value() << std::endl;
-            ++row;
-          }
-          for ( ; row<m.rows(); ++row)
-            s << "0" << std::endl;
-        }
-        else
-        {
-          SparseMatrix<Scalar, RowMajorBit> trans = m.derived();
-          s << trans;
-        }
-      }
-      return s;
-    }
-
-//     const SparseCwiseUnaryOp<internal::scalar_opposite_op<typename internal::traits<Derived>::Scalar>,Derived> operator-() const;
-
-//     template<typename OtherDerived>
-//     const CwiseBinaryOp<internal::scalar_sum_op<typename internal::traits<Derived>::Scalar>, Derived, OtherDerived>
-//     operator+(const SparseMatrixBase<OtherDerived> &other) const;
-
-//     template<typename OtherDerived>
-//     const CwiseBinaryOp<internal::scalar_difference_op<typename internal::traits<Derived>::Scalar>, Derived, OtherDerived>
-//     operator-(const SparseMatrixBase<OtherDerived> &other) const;
-
-    template<typename OtherDerived>
-    Derived& operator+=(const SparseMatrixBase<OtherDerived>& other);
-    template<typename OtherDerived>
-    Derived& operator-=(const SparseMatrixBase<OtherDerived>& other);
-
-//     template<typename Lhs,typename Rhs>
-//     Derived& operator+=(const Flagged<Product<Lhs,Rhs,CacheFriendlyProduct>, 0, EvalBeforeNestingBit | EvalBeforeAssigningBit>& other);
-
-    Derived& operator*=(const Scalar& other);
-    Derived& operator/=(const Scalar& other);
-
-    #define EIGEN_SPARSE_CWISE_PRODUCT_RETURN_TYPE \
-      CwiseBinaryOp< \
-        internal::scalar_product_op< \
-          typename internal::scalar_product_traits< \
-            typename internal::traits<Derived>::Scalar, \
-            typename internal::traits<OtherDerived>::Scalar \
-          >::ReturnType \
-        >, \
-        Derived, \
-        OtherDerived \
-      >
-
-    template<typename OtherDerived>
-    EIGEN_STRONG_INLINE const EIGEN_SPARSE_CWISE_PRODUCT_RETURN_TYPE
-    cwiseProduct(const MatrixBase<OtherDerived> &other) const;
-
-//     const SparseCwiseUnaryOp<internal::scalar_multiple_op<typename internal::traits<Derived>::Scalar>, Derived>
-//     operator*(const Scalar& scalar) const;
-//     const SparseCwiseUnaryOp<internal::scalar_quotient1_op<typename internal::traits<Derived>::Scalar>, Derived>
-//     operator/(const Scalar& scalar) const;
-
-//     inline friend const SparseCwiseUnaryOp<internal::scalar_multiple_op<typename internal::traits<Derived>::Scalar>, Derived>
-//     operator*(const Scalar& scalar, const SparseMatrixBase& matrix)
-//     { return matrix*scalar; }
-
-
-    // sparse * sparse
-    template<typename OtherDerived>
-    const typename SparseSparseProductReturnType<Derived,OtherDerived>::Type
-    operator*(const SparseMatrixBase<OtherDerived> &other) const;
-
-    // sparse * diagonal
-    template<typename OtherDerived>
-    const SparseDiagonalProduct<Derived,OtherDerived>
-    operator*(const DiagonalBase<OtherDerived> &other) const;
-
-    // diagonal * sparse
-    template<typename OtherDerived> friend
-    const SparseDiagonalProduct<OtherDerived,Derived>
-    operator*(const DiagonalBase<OtherDerived> &lhs, const SparseMatrixBase& rhs)
-    { return SparseDiagonalProduct<OtherDerived,Derived>(lhs.derived(), rhs.derived()); }
-
-    /** dense * sparse (return a dense object unless it is an outer product) */
-    template<typename OtherDerived> friend
-    const typename DenseSparseProductReturnType<OtherDerived,Derived>::Type
-    operator*(const MatrixBase<OtherDerived>& lhs, const Derived& rhs)
-    { return typename DenseSparseProductReturnType<OtherDerived,Derived>::Type(lhs.derived(),rhs); }
-
-    /** sparse * dense (returns a dense object unless it is an outer product) */
-    template<typename OtherDerived>
-    const typename SparseDenseProductReturnType<Derived,OtherDerived>::Type
-    operator*(const MatrixBase<OtherDerived> &other) const;
-
-    template<typename OtherDerived>
-    Derived& operator*=(const SparseMatrixBase<OtherDerived>& other);
-
-    #ifdef EIGEN2_SUPPORT
-    // deprecated
-    template<typename OtherDerived>
-    typename internal::plain_matrix_type_column_major<OtherDerived>::type
-    solveTriangular(const MatrixBase<OtherDerived>& other) const;
-
-    // deprecated
-    template<typename OtherDerived>
-    void solveTriangularInPlace(MatrixBase<OtherDerived>& other) const;
-//     template<typename OtherDerived>
-//     void solveTriangularInPlace(SparseMatrixBase<OtherDerived>& other) const;
-    #endif // EIGEN2_SUPPORT
-
-    template<int Mode>
-    inline const SparseTriangularView<Derived, Mode> triangularView() const;
-
-    template<unsigned int UpLo> inline const SparseSelfAdjointView<Derived, UpLo> selfadjointView() const;
-    template<unsigned int UpLo> inline SparseSelfAdjointView<Derived, UpLo> selfadjointView();
-
-    template<typename OtherDerived> Scalar dot(const MatrixBase<OtherDerived>& other) const;
-    template<typename OtherDerived> Scalar dot(const SparseMatrixBase<OtherDerived>& other) const;
-    RealScalar squaredNorm() const;
-    RealScalar norm()  const;
-//     const PlainObject normalized() const;
-//     void normalize();
-
-    Transpose<Derived> transpose() { return derived(); }
-    const Transpose<const Derived> transpose() const { return derived(); }
-    // void transposeInPlace();
-    const AdjointReturnType adjoint() const { return transpose(); }
-
-    // sub-vector
-    SparseInnerVectorSet<Derived,1> row(Index i);
-    const SparseInnerVectorSet<Derived,1> row(Index i) const;
-    SparseInnerVectorSet<Derived,1> col(Index j);
-    const SparseInnerVectorSet<Derived,1> col(Index j) const;
-    SparseInnerVectorSet<Derived,1> innerVector(Index outer);
-    const SparseInnerVectorSet<Derived,1> innerVector(Index outer) const;
-
-    // set of sub-vectors
-    SparseInnerVectorSet<Derived,Dynamic> subrows(Index start, Index size);
-    const SparseInnerVectorSet<Derived,Dynamic> subrows(Index start, Index size) const;
-    SparseInnerVectorSet<Derived,Dynamic> subcols(Index start, Index size);
-    const SparseInnerVectorSet<Derived,Dynamic> subcols(Index start, Index size) const;
-    SparseInnerVectorSet<Derived,Dynamic> innerVectors(Index outerStart, Index outerSize);
-    const SparseInnerVectorSet<Derived,Dynamic> innerVectors(Index outerStart, Index outerSize) const;
-
-//     typename BlockReturnType<Derived>::Type block(int startRow, int startCol, int blockRows, int blockCols);
-//     const typename BlockReturnType<Derived>::Type
-//     block(int startRow, int startCol, int blockRows, int blockCols) const;
-//
-//     typename BlockReturnType<Derived>::SubVectorType segment(int start, int size);
-//     const typename BlockReturnType<Derived>::SubVectorType segment(int start, int size) const;
-//
-//     typename BlockReturnType<Derived,Dynamic>::SubVectorType start(int size);
-//     const typename BlockReturnType<Derived,Dynamic>::SubVectorType start(int size) const;
-//
-//     typename BlockReturnType<Derived,Dynamic>::SubVectorType end(int size);
-//     const typename BlockReturnType<Derived,Dynamic>::SubVectorType end(int size) const;
-//
-//     template<int BlockRows, int BlockCols>
-//     typename BlockReturnType<Derived, BlockRows, BlockCols>::Type block(int startRow, int startCol);
-//     template<int BlockRows, int BlockCols>
-//     const typename BlockReturnType<Derived, BlockRows, BlockCols>::Type block(int startRow, int startCol) const;
-
-//     template<int Size> typename BlockReturnType<Derived,Size>::SubVectorType start(void);
-//     template<int Size> const typename BlockReturnType<Derived,Size>::SubVectorType start() const;
-
-//     template<int Size> typename BlockReturnType<Derived,Size>::SubVectorType end();
-//     template<int Size> const typename BlockReturnType<Derived,Size>::SubVectorType end() const;
-
-//     template<int Size> typename BlockReturnType<Derived,Size>::SubVectorType segment(int start);
-//     template<int Size> const typename BlockReturnType<Derived,Size>::SubVectorType segment(int start) const;
-
-//     Diagonal<Derived> diagonal();
-//     const Diagonal<Derived> diagonal() const;
-
-//     template<unsigned int Mode> Part<Derived, Mode> part();
-//     template<unsigned int Mode> const Part<Derived, Mode> part() const;
-
-
-//     static const ConstantReturnType Constant(int rows, int cols, const Scalar& value);
-//     static const ConstantReturnType Constant(int size, const Scalar& value);
-//     static const ConstantReturnType Constant(const Scalar& value);
-
-//     template<typename CustomNullaryOp>
-//     static const CwiseNullaryOp<CustomNullaryOp, Derived> NullaryExpr(int rows, int cols, const CustomNullaryOp& func);
-//     template<typename CustomNullaryOp>
-//     static const CwiseNullaryOp<CustomNullaryOp, Derived> NullaryExpr(int size, const CustomNullaryOp& func);
-//     template<typename CustomNullaryOp>
-//     static const CwiseNullaryOp<CustomNullaryOp, Derived> NullaryExpr(const CustomNullaryOp& func);
-
-//     static const ConstantReturnType Zero(int rows, int cols);
-//     static const ConstantReturnType Zero(int size);
-//     static const ConstantReturnType Zero();
-//     static const ConstantReturnType Ones(int rows, int cols);
-//     static const ConstantReturnType Ones(int size);
-//     static const ConstantReturnType Ones();
-//     static const IdentityReturnType Identity();
-//     static const IdentityReturnType Identity(int rows, int cols);
-//     static const BasisReturnType Unit(int size, int i);
-//     static const BasisReturnType Unit(int i);
-//     static const BasisReturnType UnitX();
-//     static const BasisReturnType UnitY();
-//     static const BasisReturnType UnitZ();
-//     static const BasisReturnType UnitW();
-
-//     const DiagonalMatrix<Derived> asDiagonal() const;
-
-//     Derived& setConstant(const Scalar& value);
-//     Derived& setZero();
-//     Derived& setOnes();
-//     Derived& setRandom();
-//     Derived& setIdentity();
-
-      /** \internal use operator= */
-      template<typename DenseDerived>
-      void evalTo(MatrixBase<DenseDerived>& dst) const
-      {
-        dst.setZero();
-        for (Index j=0; j<outerSize(); ++j)
-          for (typename Derived::InnerIterator i(derived(),j); i; ++i)
-            dst.coeffRef(i.row(),i.col()) = i.value();
-      }
-
-      Matrix<Scalar,RowsAtCompileTime,ColsAtCompileTime> toDense() const
-      {
-        return derived();
-      }
-
-    template<typename OtherDerived>
-    bool isApprox(const SparseMatrixBase<OtherDerived>& other,
-                  RealScalar prec = NumTraits<Scalar>::dummy_precision()) const
-    { return toDense().isApprox(other.toDense(),prec); }
-
-    template<typename OtherDerived>
-    bool isApprox(const MatrixBase<OtherDerived>& other,
-                  RealScalar prec = NumTraits<Scalar>::dummy_precision()) const
-    { return toDense().isApprox(other,prec); }
-//     bool isMuchSmallerThan(const RealScalar& other,
-//                            RealScalar prec = NumTraits<Scalar>::dummy_precision()) const;
-//     template<typename OtherDerived>
-//     bool isMuchSmallerThan(const MatrixBase<OtherDerived>& other,
-//                            RealScalar prec = NumTraits<Scalar>::dummy_precision()) const;
-
-//     bool isApproxToConstant(const Scalar& value, RealScalar prec = NumTraits<Scalar>::dummy_precision()) const;
-//     bool isZero(RealScalar prec = NumTraits<Scalar>::dummy_precision()) const;
-//     bool isOnes(RealScalar prec = NumTraits<Scalar>::dummy_precision()) const;
-//     bool isIdentity(RealScalar prec = NumTraits<Scalar>::dummy_precision()) const;
-//     bool isDiagonal(RealScalar prec = NumTraits<Scalar>::dummy_precision()) const;
-
-//     bool isUpper(RealScalar prec = NumTraits<Scalar>::dummy_precision()) const;
-//     bool isLower(RealScalar prec = NumTraits<Scalar>::dummy_precision()) const;
-
-//     template<typename OtherDerived>
-//     bool isOrthogonal(const MatrixBase<OtherDerived>& other,
-//                       RealScalar prec = NumTraits<Scalar>::dummy_precision()) const;
-//     bool isUnitary(RealScalar prec = NumTraits<Scalar>::dummy_precision()) const;
-
-//     template<typename OtherDerived>
-//     inline bool operator==(const MatrixBase<OtherDerived>& other) const
-//     { return (cwise() == other).all(); }
-
-//     template<typename OtherDerived>
-//     inline bool operator!=(const MatrixBase<OtherDerived>& other) const
-//     { return (cwise() != other).any(); }
-
-
-//     template<typename NewType>
-//     const SparseCwiseUnaryOp<internal::scalar_cast_op<typename internal::traits<Derived>::Scalar, NewType>, Derived> cast() const;
-
-    /** \returns the matrix or vector obtained by evaluating this expression.
-      *
-      * Notice that in the case of a plain matrix or vector (not an expression) this function just returns
-      * a const reference, in order to avoid a useless copy.
-      */
-    inline const typename internal::eval<Derived>::type eval() const
-    { return typename internal::eval<Derived>::type(derived()); }
-
-//     template<typename OtherDerived>
-//     void swap(MatrixBase<OtherDerived> const & other);
-
-//     template<unsigned int Added>
-//     const SparseFlagged<Derived, Added, 0> marked() const;
-//     const Flagged<Derived, 0, EvalBeforeNestingBit | EvalBeforeAssigningBit> lazy() const;
-
-    /** \returns number of elements to skip to pass from one row (resp. column) to another
-      * for a row-major (resp. column-major) matrix.
-      * Combined with coeffRef() and the \ref flags flags, it allows a direct access to the data
-      * of the underlying matrix.
-      */
-//     inline int stride(void) const { return derived().stride(); }
-
-// FIXME
-//     ConjugateReturnType conjugate() const;
-//     const RealReturnType real() const;
-//     const ImagReturnType imag() const;
-
-//     template<typename CustomUnaryOp>
-//     const SparseCwiseUnaryOp<CustomUnaryOp, Derived> unaryExpr(const CustomUnaryOp& func = CustomUnaryOp()) const;
-
-//     template<typename CustomBinaryOp, typename OtherDerived>
-//     const CwiseBinaryOp<CustomBinaryOp, Derived, OtherDerived>
-//     binaryExpr(const MatrixBase<OtherDerived> &other, const CustomBinaryOp& func = CustomBinaryOp()) const;
-
-
-    Scalar sum() const;
-//     Scalar trace() const;
-
-//     typename internal::traits<Derived>::Scalar minCoeff() const;
-//     typename internal::traits<Derived>::Scalar maxCoeff() const;
-
-//     typename internal::traits<Derived>::Scalar minCoeff(int* row, int* col = 0) const;
-//     typename internal::traits<Derived>::Scalar maxCoeff(int* row, int* col = 0) const;
-
-//     template<typename BinaryOp>
-//     typename internal::result_of<BinaryOp(typename internal::traits<Derived>::Scalar)>::type
-//     redux(const BinaryOp& func) const;
-
-//     template<typename Visitor>
-//     void visit(Visitor& func) const;
-
-
-//     const SparseCwise<Derived> cwise() const;
-//     SparseCwise<Derived> cwise();
-
-//     inline const WithFormat<Derived> format(const IOFormat& fmt) const;
-
-/////////// Array module ///////////
-    /*
-    bool all(void) const;
-    bool any(void) const;
-
-    const VectorwiseOp<Derived,Horizontal> rowwise() const;
-    const VectorwiseOp<Derived,Vertical> colwise() const;
-
-    static const CwiseNullaryOp<internal::scalar_random_op<Scalar>,Derived> Random(int rows, int cols);
-    static const CwiseNullaryOp<internal::scalar_random_op<Scalar>,Derived> Random(int size);
-    static const CwiseNullaryOp<internal::scalar_random_op<Scalar>,Derived> Random();
-
-    template<typename ThenDerived,typename ElseDerived>
-    const Select<Derived,ThenDerived,ElseDerived>
-    select(const MatrixBase<ThenDerived>& thenMatrix,
-           const MatrixBase<ElseDerived>& elseMatrix) const;
-
-    template<typename ThenDerived>
-    inline const Select<Derived,ThenDerived, typename ThenDerived::ConstantReturnType>
-    select(const MatrixBase<ThenDerived>& thenMatrix, typename ThenDerived::Scalar elseScalar) const;
-
-    template<typename ElseDerived>
-    inline const Select<Derived, typename ElseDerived::ConstantReturnType, ElseDerived >
-    select(typename ElseDerived::Scalar thenScalar, const MatrixBase<ElseDerived>& elseMatrix) const;
-
-    template<int p> RealScalar lpNorm() const;
-    */
-
-
-//     template<typename OtherDerived>
-//     Scalar dot(const MatrixBase<OtherDerived>& other) const
-//     {
-//       EIGEN_STATIC_ASSERT_VECTOR_ONLY(Derived)
-//       EIGEN_STATIC_ASSERT_VECTOR_ONLY(OtherDerived)
-//       EIGEN_STATIC_ASSERT((internal::is_same<Scalar, typename OtherDerived::Scalar>::value),
-//         YOU_MIXED_DIFFERENT_NUMERIC_TYPES__YOU_NEED_TO_USE_THE_CAST_METHOD_OF_MATRIXBASE_TO_CAST_NUMERIC_TYPES_EXPLICITLY)
-//
-//       eigen_assert(derived().size() == other.size());
-//       // short version, but the assembly looks more complicated because
-//       // of the CwiseBinaryOp iterator complexity
-//       // return res = (derived().cwise() * other.derived().conjugate()).sum();
-//
-//       // optimized, generic version
-//       typename Derived::InnerIterator i(derived(),0);
-//       typename OtherDerived::InnerIterator j(other.derived(),0);
-//       Scalar res = 0;
-//       while (i && j)
-//       {
-//         if (i.index()==j.index())
-//         {
-// //           std::cerr << i.value() << " * " << j.value() << "\n";
-//           res += i.value() * internal::conj(j.value());
-//           ++i; ++j;
-//         }
-//         else if (i.index()<j.index())
-//           ++i;
-//         else
-//           ++j;
-//       }
-//       return res;
-//     }
-//
-//     Scalar sum() const
-//     {
-//       Scalar res = 0;
-//       for (typename Derived::InnerIterator iter(*this,0); iter; ++iter)
-//       {
-//         res += iter.value();
-//       }
-//       return res;
-//     }
-
-  protected:
-
-    bool m_isRValue;
-};
-
-#endif // EIGEN_SPARSEMATRIXBASE_H
diff --git a/extern/Eigen3/Eigen/src/Sparse/SparseProduct.h b/extern/Eigen3/Eigen/src/Sparse/SparseProduct.h
deleted file mode 100644
index 1c1f54706ac..00000000000
--- a/extern/Eigen3/Eigen/src/Sparse/SparseProduct.h
+++ /dev/null
@@ -1,141 +0,0 @@
-// This file is part of Eigen, a lightweight C++ template library
-// for linear algebra.
-//
-// Copyright (C) 2008-2010 Gael Guennebaud <gael.guennebaud@inria.fr>
-//
-// Eigen is free software; you can redistribute it and/or
-// modify it under the terms of the GNU Lesser General Public
-// License as published by the Free Software Foundation; either
-// version 3 of the License, or (at your option) any later version.
-//
-// Alternatively, you can redistribute it and/or
-// modify it under the terms of the GNU General Public License as
-// published by the Free Software Foundation; either version 2 of
-// the License, or (at your option) any later version.
-//
-// Eigen is distributed in the hope that it will be useful, but WITHOUT ANY
-// WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS
-// FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License or the
-// GNU General Public License for more details.
-//
-// You should have received a copy of the GNU Lesser General Public
-// License and a copy of the GNU General Public License along with
-// Eigen. If not, see <http://www.gnu.org/licenses/>.
-
-#ifndef EIGEN_SPARSEPRODUCT_H
-#define EIGEN_SPARSEPRODUCT_H
-
-template<typename Lhs, typename Rhs>
-struct SparseSparseProductReturnType
-{
-  typedef typename internal::traits<Lhs>::Scalar Scalar;
-  enum {
-    LhsRowMajor = internal::traits<Lhs>::Flags & RowMajorBit,
-    RhsRowMajor = internal::traits<Rhs>::Flags & RowMajorBit,
-    TransposeRhs = (!LhsRowMajor) && RhsRowMajor,
-    TransposeLhs = LhsRowMajor && (!RhsRowMajor)
-  };
-
-  typedef typename internal::conditional<TransposeLhs,
-    SparseMatrix<Scalar,0>,
-    const typename internal::nested<Lhs,Rhs::RowsAtCompileTime>::type>::type LhsNested;
-
-  typedef typename internal::conditional<TransposeRhs,
-    SparseMatrix<Scalar,0>,
-    const typename internal::nested<Rhs,Lhs::RowsAtCompileTime>::type>::type RhsNested;
-
-  typedef SparseSparseProduct<LhsNested, RhsNested> Type;
-};
-
-namespace internal {
-template<typename LhsNested, typename RhsNested>
-struct traits<SparseSparseProduct<LhsNested, RhsNested> >
-{
-  typedef MatrixXpr XprKind;
-  // clean the nested types:
-  typedef typename remove_all<LhsNested>::type _LhsNested;
-  typedef typename remove_all<RhsNested>::type _RhsNested;
-  typedef typename _LhsNested::Scalar Scalar;
-  typedef typename promote_index_type<typename traits<_LhsNested>::Index,
-                                         typename traits<_RhsNested>::Index>::type Index;
-
-  enum {
-    LhsCoeffReadCost = _LhsNested::CoeffReadCost,
-    RhsCoeffReadCost = _RhsNested::CoeffReadCost,
-    LhsFlags = _LhsNested::Flags,
-    RhsFlags = _RhsNested::Flags,
-
-    RowsAtCompileTime    = _LhsNested::RowsAtCompileTime,
-    ColsAtCompileTime    = _RhsNested::ColsAtCompileTime,
-    MaxRowsAtCompileTime = _LhsNested::MaxRowsAtCompileTime,
-    MaxColsAtCompileTime = _RhsNested::MaxColsAtCompileTime,
-
-    InnerSize = EIGEN_SIZE_MIN_PREFER_FIXED(_LhsNested::ColsAtCompileTime, _RhsNested::RowsAtCompileTime),
-
-    EvalToRowMajor = (RhsFlags & LhsFlags & RowMajorBit),
-
-    RemovedBits = ~(EvalToRowMajor ? 0 : RowMajorBit),
-
-    Flags = (int(LhsFlags | RhsFlags) & HereditaryBits & RemovedBits)
-          | EvalBeforeAssigningBit
-          | EvalBeforeNestingBit,
-
-    CoeffReadCost = Dynamic
-  };
-
-  typedef Sparse StorageKind;
-};
-
-} // end namespace internal
-
-template<typename LhsNested, typename RhsNested>
-class SparseSparseProduct : internal::no_assignment_operator,
-  public SparseMatrixBase<SparseSparseProduct<LhsNested, RhsNested> >
-{
-  public:
-
-    typedef SparseMatrixBase<SparseSparseProduct> Base;
-    EIGEN_DENSE_PUBLIC_INTERFACE(SparseSparseProduct)
-
-  private:
-
-    typedef typename internal::traits<SparseSparseProduct>::_LhsNested _LhsNested;
-    typedef typename internal::traits<SparseSparseProduct>::_RhsNested _RhsNested;
-
-  public:
-
-    template<typename Lhs, typename Rhs>
-    EIGEN_STRONG_INLINE SparseSparseProduct(const Lhs& lhs, const Rhs& rhs)
-      : m_lhs(lhs), m_rhs(rhs)
-    {
-      eigen_assert(lhs.cols() == rhs.rows());
-
-      enum {
-        ProductIsValid = _LhsNested::ColsAtCompileTime==Dynamic
-                      || _RhsNested::RowsAtCompileTime==Dynamic
-                      || int(_LhsNested::ColsAtCompileTime)==int(_RhsNested::RowsAtCompileTime),
-        AreVectors = _LhsNested::IsVectorAtCompileTime && _RhsNested::IsVectorAtCompileTime,
-        SameSizes = EIGEN_PREDICATE_SAME_MATRIX_SIZE(_LhsNested,_RhsNested)
-      };
-      // note to the lost user:
-      //    * for a dot product use: v1.dot(v2)
-      //    * for a coeff-wise product use: v1.cwise()*v2
-      EIGEN_STATIC_ASSERT(ProductIsValid || !(AreVectors && SameSizes),
-        INVALID_VECTOR_VECTOR_PRODUCT__IF_YOU_WANTED_A_DOT_OR_COEFF_WISE_PRODUCT_YOU_MUST_USE_THE_EXPLICIT_FUNCTIONS)
-      EIGEN_STATIC_ASSERT(ProductIsValid || !(SameSizes && !AreVectors),
-        INVALID_MATRIX_PRODUCT__IF_YOU_WANTED_A_COEFF_WISE_PRODUCT_YOU_MUST_USE_THE_EXPLICIT_FUNCTION)
-      EIGEN_STATIC_ASSERT(ProductIsValid || SameSizes, INVALID_MATRIX_PRODUCT)
-    }
-
-    EIGEN_STRONG_INLINE Index rows() const { return m_lhs.rows(); }
-    EIGEN_STRONG_INLINE Index cols() const { return m_rhs.cols(); }
-
-    EIGEN_STRONG_INLINE const _LhsNested& lhs() const { return m_lhs; }
-    EIGEN_STRONG_INLINE const _RhsNested& rhs() const { return m_rhs; }
-
-  protected:
-    LhsNested m_lhs;
-    RhsNested m_rhs;
-};
-
-#endif // EIGEN_SPARSEPRODUCT_H
diff --git a/extern/Eigen3/Eigen/src/Sparse/SparseRedux.h b/extern/Eigen3/Eigen/src/Sparse/SparseRedux.h
deleted file mode 100644
index afc49de7aad..00000000000
--- a/extern/Eigen3/Eigen/src/Sparse/SparseRedux.h
+++ /dev/null
@@ -1,56 +0,0 @@
-// This file is part of Eigen, a lightweight C++ template library
-// for linear algebra.
-//
-// Copyright (C) 2008 Gael Guennebaud <gael.guennebaud@inria.fr>
-//
-// Eigen is free software; you can redistribute it and/or
-// modify it under the terms of the GNU Lesser General Public
-// License as published by the Free Software Foundation; either
-// version 3 of the License, or (at your option) any later version.
-//
-// Alternatively, you can redistribute it and/or
-// modify it under the terms of the GNU General Public License as
-// published by the Free Software Foundation; either version 2 of
-// the License, or (at your option) any later version.
-//
-// Eigen is distributed in the hope that it will be useful, but WITHOUT ANY
-// WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS
-// FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License or the
-// GNU General Public License for more details.
-//
-// You should have received a copy of the GNU Lesser General Public
-// License and a copy of the GNU General Public License along with
-// Eigen. If not, see <http://www.gnu.org/licenses/>.
-
-#ifndef EIGEN_SPARSEREDUX_H
-#define EIGEN_SPARSEREDUX_H
-
-template<typename Derived>
-typename internal::traits<Derived>::Scalar
-SparseMatrixBase<Derived>::sum() const
-{
-  eigen_assert(rows()>0 && cols()>0 && "you are using a non initialized matrix");
-  Scalar res = 0;
-  for (Index j=0; j<outerSize(); ++j)
-    for (typename Derived::InnerIterator iter(derived(),j); iter; ++iter)
-      res += iter.value();
-  return res;
-}
-
-template<typename _Scalar, int _Options, typename _Index>
-typename internal::traits<SparseMatrix<_Scalar,_Options,_Index> >::Scalar
-SparseMatrix<_Scalar,_Options,_Index>::sum() const
-{
-  eigen_assert(rows()>0 && cols()>0 && "you are using a non initialized matrix");
-  return Matrix<Scalar,1,Dynamic>::Map(&m_data.value(0), m_data.size()).sum();
-}
-
-template<typename _Scalar, int _Options, typename _Index>
-typename internal::traits<SparseVector<_Scalar,_Options, _Index> >::Scalar
-SparseVector<_Scalar,_Options,_Index>::sum() const
-{
-  eigen_assert(rows()>0 && cols()>0 && "you are using a non initialized matrix");
-  return Matrix<Scalar,1,Dynamic>::Map(&m_data.value(0), m_data.size()).sum();
-}
-
-#endif // EIGEN_SPARSEREDUX_H
diff --git a/extern/Eigen3/Eigen/src/Sparse/SparseSelfAdjointView.h b/extern/Eigen3/Eigen/src/Sparse/SparseSelfAdjointView.h
deleted file mode 100644
index d82044c789c..00000000000
--- a/extern/Eigen3/Eigen/src/Sparse/SparseSelfAdjointView.h
+++ /dev/null
@@ -1,454 +0,0 @@
-// This file is part of Eigen, a lightweight C++ template library
-// for linear algebra.
-//
-// Copyright (C) 2009 Gael Guennebaud <gael.guennebaud@inria.fr>
-//
-// Eigen is free software; you can redistribute it and/or
-// modify it under the terms of the GNU Lesser General Public
-// License as published by the Free Software Foundation; either
-// version 3 of the License, or (at your option) any later version.
-//
-// Alternatively, you can redistribute it and/or
-// modify it under the terms of the GNU General Public License as
-// published by the Free Software Foundation; either version 2 of
-// the License, or (at your option) any later version.
-//
-// Eigen is distributed in the hope that it will be useful, but WITHOUT ANY
-// WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS
-// FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License or the
-// GNU General Public License for more details.
-//
-// You should have received a copy of the GNU Lesser General Public
-// License and a copy of the GNU General Public License along with
-// Eigen. If not, see <http://www.gnu.org/licenses/>.
-
-#ifndef EIGEN_SPARSE_SELFADJOINTVIEW_H
-#define EIGEN_SPARSE_SELFADJOINTVIEW_H
-
-/** \class SparseSelfAdjointView
-  *
-  *
-  * \brief Pseudo expression to manipulate a triangular sparse matrix as a selfadjoint matrix.
-  *
-  * \param MatrixType the type of the dense matrix storing the coefficients
-  * \param UpLo can be either \c #Lower or \c #Upper
-  *
-  * This class is an expression of a sefladjoint matrix from a triangular part of a matrix
-  * with given dense storage of the coefficients. It is the return type of MatrixBase::selfadjointView()
-  * and most of the time this is the only way that it is used.
-  *
-  * \sa SparseMatrixBase::selfadjointView()
-  */
-template<typename Lhs, typename Rhs, int UpLo>
-class SparseSelfAdjointTimeDenseProduct;
-
-template<typename Lhs, typename Rhs, int UpLo>
-class DenseTimeSparseSelfAdjointProduct;
-
-template<typename MatrixType,int UpLo>
-class SparseSymmetricPermutationProduct;
-
-namespace internal {
-  
-template<typename MatrixType, unsigned int UpLo>
-struct traits<SparseSelfAdjointView<MatrixType,UpLo> > : traits<MatrixType> {
-};
-
-template<int SrcUpLo,int DstUpLo,typename MatrixType,int DestOrder>
-void permute_symm_to_symm(const MatrixType& mat, SparseMatrix<typename MatrixType::Scalar,DestOrder,typename MatrixType::Index>& _dest, const typename MatrixType::Index* perm = 0);
-
-template<int UpLo,typename MatrixType,int DestOrder>
-void permute_symm_to_fullsymm(const MatrixType& mat, SparseMatrix<typename MatrixType::Scalar,DestOrder,typename MatrixType::Index>& _dest, const typename MatrixType::Index* perm = 0);
-
-}
-
-template<typename MatrixType, unsigned int UpLo> class SparseSelfAdjointView
-  : public EigenBase<SparseSelfAdjointView<MatrixType,UpLo> >
-{
-  public:
-
-    typedef typename MatrixType::Scalar Scalar;
-    typedef typename MatrixType::Index Index;
-    typedef Matrix<Index,Dynamic,1> VectorI;
-    typedef typename MatrixType::Nested MatrixTypeNested;
-    typedef typename internal::remove_all<MatrixTypeNested>::type _MatrixTypeNested;
-
-    inline SparseSelfAdjointView(const MatrixType& matrix) : m_matrix(matrix)
-    {
-      eigen_assert(rows()==cols() && "SelfAdjointView is only for squared matrices");
-    }
-
-    inline Index rows() const { return m_matrix.rows(); }
-    inline Index cols() const { return m_matrix.cols(); }
-
-    /** \internal \returns a reference to the nested matrix */
-    const _MatrixTypeNested& matrix() const { return m_matrix; }
-    _MatrixTypeNested& matrix() { return m_matrix.const_cast_derived(); }
-
-    /** Efficient sparse self-adjoint matrix times dense vector/matrix product */
-    template<typename OtherDerived>
-    SparseSelfAdjointTimeDenseProduct<MatrixType,OtherDerived,UpLo>
-    operator*(const MatrixBase<OtherDerived>& rhs) const
-    {
-      return SparseSelfAdjointTimeDenseProduct<MatrixType,OtherDerived,UpLo>(m_matrix, rhs.derived());
-    }
-
-    /** Efficient dense vector/matrix times sparse self-adjoint matrix product */
-    template<typename OtherDerived> friend
-    DenseTimeSparseSelfAdjointProduct<OtherDerived,MatrixType,UpLo>
-    operator*(const MatrixBase<OtherDerived>& lhs, const SparseSelfAdjointView& rhs)
-    {
-      return DenseTimeSparseSelfAdjointProduct<OtherDerived,_MatrixTypeNested,UpLo>(lhs.derived(), rhs.m_matrix);
-    }
-
-    /** Perform a symmetric rank K update of the selfadjoint matrix \c *this:
-      * \f$ this = this + \alpha ( u u^* ) \f$ where \a u is a vector or matrix.
-      *
-      * \returns a reference to \c *this
-      *
-      * Note that it is faster to set alpha=0 than initializing the matrix to zero
-      * and then keep the default value alpha=1.
-      *
-      * To perform \f$ this = this + \alpha ( u^* u ) \f$ you can simply
-      * call this function with u.adjoint().
-      */
-    template<typename DerivedU>
-    SparseSelfAdjointView& rankUpdate(const SparseMatrixBase<DerivedU>& u, Scalar alpha = Scalar(1));
-    
-    /** \internal triggered by sparse_matrix = SparseSelfadjointView; */
-    template<typename DestScalar> void evalTo(SparseMatrix<DestScalar>& _dest) const
-    {
-      internal::permute_symm_to_fullsymm<UpLo>(m_matrix, _dest);
-    }
-    
-    template<typename DestScalar> void evalTo(DynamicSparseMatrix<DestScalar>& _dest) const
-    {
-      // TODO directly evaluate into _dest;
-      SparseMatrix<DestScalar> tmp(_dest.rows(),_dest.cols());
-      internal::permute_symm_to_fullsymm<UpLo>(m_matrix, tmp);
-      _dest = tmp;
-    }
-    
-    /** \returns an expression of P^-1 H P */
-    SparseSymmetricPermutationProduct<_MatrixTypeNested,UpLo> twistedBy(const PermutationMatrix<Dynamic>& perm) const
-    {
-      return SparseSymmetricPermutationProduct<_MatrixTypeNested,UpLo>(m_matrix, perm);
-    }
-    
-    template<typename SrcMatrixType,int SrcUpLo>
-    SparseSelfAdjointView& operator=(const SparseSymmetricPermutationProduct<SrcMatrixType,SrcUpLo>& permutedMatrix)
-    {
-      permutedMatrix.evalTo(*this);
-      return *this;
-    }
-    
-
-    // const SparseLLT<PlainObject, UpLo> llt() const;
-    // const SparseLDLT<PlainObject, UpLo> ldlt() const;
-
-  protected:
-
-    const typename MatrixType::Nested m_matrix;
-    mutable VectorI m_countPerRow;
-    mutable VectorI m_countPerCol;
-};
-
-/***************************************************************************
-* Implementation of SparseMatrixBase methods
-***************************************************************************/
-
-template<typename Derived>
-template<unsigned int UpLo>
-const SparseSelfAdjointView<Derived, UpLo> SparseMatrixBase<Derived>::selfadjointView() const
-{
-  return derived();
-}
-
-template<typename Derived>
-template<unsigned int UpLo>
-SparseSelfAdjointView<Derived, UpLo> SparseMatrixBase<Derived>::selfadjointView()
-{
-  return derived();
-}
-
-/***************************************************************************
-* Implementation of SparseSelfAdjointView methods
-***************************************************************************/
-
-template<typename MatrixType, unsigned int UpLo>
-template<typename DerivedU>
-SparseSelfAdjointView<MatrixType,UpLo>&
-SparseSelfAdjointView<MatrixType,UpLo>::rankUpdate(const SparseMatrixBase<DerivedU>& u, Scalar alpha)
-{
-  SparseMatrix<Scalar,MatrixType::Flags&RowMajorBit?RowMajor:ColMajor> tmp = u * u.adjoint();
-  if(alpha==Scalar(0))
-    m_matrix.const_cast_derived() = tmp.template triangularView<UpLo>();
-  else
-    m_matrix.const_cast_derived() += alpha * tmp.template triangularView<UpLo>();
-
-  return *this;
-}
-
-/***************************************************************************
-* Implementation of sparse self-adjoint time dense matrix
-***************************************************************************/
-
-namespace internal {
-template<typename Lhs, typename Rhs, int UpLo>
-struct traits<SparseSelfAdjointTimeDenseProduct<Lhs,Rhs,UpLo> >
- : traits<ProductBase<SparseSelfAdjointTimeDenseProduct<Lhs,Rhs,UpLo>, Lhs, Rhs> >
-{
-  typedef Dense StorageKind;
-};
-}
-
-template<typename Lhs, typename Rhs, int UpLo>
-class SparseSelfAdjointTimeDenseProduct
-  : public ProductBase<SparseSelfAdjointTimeDenseProduct<Lhs,Rhs,UpLo>, Lhs, Rhs>
-{
-  public:
-    EIGEN_PRODUCT_PUBLIC_INTERFACE(SparseSelfAdjointTimeDenseProduct)
-
-    SparseSelfAdjointTimeDenseProduct(const Lhs& lhs, const Rhs& rhs) : Base(lhs,rhs)
-    {}
-
-    template<typename Dest> void scaleAndAddTo(Dest& dest, Scalar alpha) const
-    {
-      // TODO use alpha
-      eigen_assert(alpha==Scalar(1) && "alpha != 1 is not implemented yet, sorry");
-      typedef typename internal::remove_all<Lhs>::type _Lhs;
-      typedef typename internal::remove_all<Rhs>::type _Rhs;
-      typedef typename _Lhs::InnerIterator LhsInnerIterator;
-      enum {
-        LhsIsRowMajor = (_Lhs::Flags&RowMajorBit)==RowMajorBit,
-        ProcessFirstHalf =
-                 ((UpLo&(Upper|Lower))==(Upper|Lower))
-              || ( (UpLo&Upper) && !LhsIsRowMajor)
-              || ( (UpLo&Lower) && LhsIsRowMajor),
-        ProcessSecondHalf = !ProcessFirstHalf
-      };
-      for (Index j=0; j<m_lhs.outerSize(); ++j)
-      {
-        LhsInnerIterator i(m_lhs,j);
-        if (ProcessSecondHalf && i && (i.index()==j))
-        {
-          dest.row(j) += i.value() * m_rhs.row(j);
-          ++i;
-        }
-        Block<Dest,1,Dest::ColsAtCompileTime> dest_j(dest.row(LhsIsRowMajor ? j : 0));
-        for(; (ProcessFirstHalf ? i && i.index() < j : i) ; ++i)
-        {
-          Index a = LhsIsRowMajor ? j : i.index();
-          Index b = LhsIsRowMajor ? i.index() : j;
-          typename Lhs::Scalar v = i.value();
-          dest.row(a) += (v) * m_rhs.row(b);
-          dest.row(b) += internal::conj(v) * m_rhs.row(a);
-        }
-        if (ProcessFirstHalf && i && (i.index()==j))
-          dest.row(j) += i.value() * m_rhs.row(j);
-      }
-    }
-
-  private:
-    SparseSelfAdjointTimeDenseProduct& operator=(const SparseSelfAdjointTimeDenseProduct&);
-};
-
-namespace internal {
-template<typename Lhs, typename Rhs, int UpLo>
-struct traits<DenseTimeSparseSelfAdjointProduct<Lhs,Rhs,UpLo> >
- : traits<ProductBase<DenseTimeSparseSelfAdjointProduct<Lhs,Rhs,UpLo>, Lhs, Rhs> >
-{};
-}
-
-template<typename Lhs, typename Rhs, int UpLo>
-class DenseTimeSparseSelfAdjointProduct
-  : public ProductBase<DenseTimeSparseSelfAdjointProduct<Lhs,Rhs,UpLo>, Lhs, Rhs>
-{
-  public:
-    EIGEN_PRODUCT_PUBLIC_INTERFACE(DenseTimeSparseSelfAdjointProduct)
-
-    DenseTimeSparseSelfAdjointProduct(const Lhs& lhs, const Rhs& rhs) : Base(lhs,rhs)
-    {}
-
-    template<typename Dest> void scaleAndAddTo(Dest& /*dest*/, Scalar /*alpha*/) const
-    {
-      // TODO
-    }
-
-  private:
-    DenseTimeSparseSelfAdjointProduct& operator=(const DenseTimeSparseSelfAdjointProduct&);
-};
-
-/***************************************************************************
-* Implementation of symmetric copies and permutations
-***************************************************************************/
-namespace internal {
-  
-template<typename MatrixType, int UpLo>
-struct traits<SparseSymmetricPermutationProduct<MatrixType,UpLo> > : traits<MatrixType> {
-};
-
-template<int UpLo,typename MatrixType,int DestOrder>
-void permute_symm_to_fullsymm(const MatrixType& mat, SparseMatrix<typename MatrixType::Scalar,DestOrder,typename MatrixType::Index>& _dest, const typename MatrixType::Index* perm)
-{
-  typedef typename MatrixType::Index Index;
-  typedef typename MatrixType::Scalar Scalar;
-  typedef SparseMatrix<Scalar,DestOrder,Index> Dest;
-  typedef Matrix<Index,Dynamic,1> VectorI;
-  
-  Dest& dest(_dest.derived());
-  enum {
-    StorageOrderMatch = int(Dest::IsRowMajor) == int(MatrixType::IsRowMajor)
-  };
-  eigen_assert(perm==0);
-  Index size = mat.rows();
-  VectorI count;
-  count.resize(size);
-  count.setZero();
-  dest.resize(size,size);
-  for(Index j = 0; j<size; ++j)
-  {
-    Index jp = perm ? perm[j] : j;
-    for(typename MatrixType::InnerIterator it(mat,j); it; ++it)
-    {
-      Index i = it.index();
-      Index ip = perm ? perm[i] : i;
-      if(i==j)
-        count[ip]++;
-      else if((UpLo==Lower && i>j) || (UpLo==Upper && i<j))
-      {
-        count[ip]++;
-        count[jp]++;
-      }
-    }
-  }
-  Index nnz = count.sum();
-  
-  // reserve space
-  dest.reserve(nnz);
-  dest._outerIndexPtr()[0] = 0;
-  for(Index j=0; j<size; ++j)
-    dest._outerIndexPtr()[j+1] = dest._outerIndexPtr()[j] + count[j];
-  for(Index j=0; j<size; ++j)
-    count[j] = dest._outerIndexPtr()[j];
-  
-  // copy data
-  for(Index j = 0; j<size; ++j)
-  {
-    Index jp = perm ? perm[j] : j;
-    for(typename MatrixType::InnerIterator it(mat,j); it; ++it)
-    {
-      Index i = it.index();
-      Index ip = perm ? perm[i] : i;
-      if(i==j)
-      {
-        int k = count[ip]++;
-        dest._innerIndexPtr()[k] = ip;
-        dest._valuePtr()[k] = it.value();
-      }
-      else if((UpLo==Lower && i>j) || (UpLo==Upper && i<j))
-      {
-        int k = count[jp]++;
-        dest._innerIndexPtr()[k] = ip;
-        dest._valuePtr()[k] = it.value();
-        k = count[ip]++;
-        dest._innerIndexPtr()[k] = jp;
-        dest._valuePtr()[k] = internal::conj(it.value());
-      }
-    }
-  }
-}
-
-template<int SrcUpLo,int DstUpLo,typename MatrixType,int DestOrder>
-void permute_symm_to_symm(const MatrixType& mat, SparseMatrix<typename MatrixType::Scalar,DestOrder,typename MatrixType::Index>& _dest, const typename MatrixType::Index* perm)
-{
-  typedef typename MatrixType::Index Index;
-  typedef typename MatrixType::Scalar Scalar;
-  typedef SparseMatrix<Scalar,DestOrder,Index> Dest;
-  Dest& dest(_dest.derived());
-  typedef Matrix<Index,Dynamic,1> VectorI;
-  //internal::conj_if<SrcUpLo!=DstUpLo> cj;
-  
-  Index size = mat.rows();
-  VectorI count(size);
-  count.setZero();
-  dest.resize(size,size);
-  for(Index j = 0; j<size; ++j)
-  {
-    Index jp = perm ? perm[j] : j;
-    for(typename MatrixType::InnerIterator it(mat,j); it; ++it)
-    {
-      Index i = it.index();
-      if((SrcUpLo==Lower && i<j) || (SrcUpLo==Upper && i>j))
-        continue;
-                  
-      Index ip = perm ? perm[i] : i;
-      count[DstUpLo==Lower ? (std::min)(ip,jp) : (std::max)(ip,jp)]++;
-    }
-  }
-  dest._outerIndexPtr()[0] = 0;
-  for(Index j=0; j<size; ++j)
-    dest._outerIndexPtr()[j+1] = dest._outerIndexPtr()[j] + count[j];
-  dest.resizeNonZeros(dest._outerIndexPtr()[size]);
-  for(Index j=0; j<size; ++j)
-    count[j] = dest._outerIndexPtr()[j];
-  
-  for(Index j = 0; j<size; ++j)
-  {
-    Index jp = perm ? perm[j] : j;
-    for(typename MatrixType::InnerIterator it(mat,j); it; ++it)
-    {
-      Index i = it.index();
-      if((SrcUpLo==Lower && i<j) || (SrcUpLo==Upper && i>j))
-        continue;
-                  
-      Index ip = perm? perm[i] : i;
-      Index k = count[DstUpLo==Lower ? (std::min)(ip,jp) : (std::max)(ip,jp)]++;
-      dest._innerIndexPtr()[k] = DstUpLo==Lower ? (std::max)(ip,jp) : (std::min)(ip,jp);
-      
-      if((DstUpLo==Lower && ip<jp) || (DstUpLo==Upper && ip>jp))
-        dest._valuePtr()[k] = conj(it.value());
-      else
-        dest._valuePtr()[k] = it.value();
-    }
-  }
-}
-
-}
-
-template<typename MatrixType,int UpLo>
-class SparseSymmetricPermutationProduct
-  : public EigenBase<SparseSymmetricPermutationProduct<MatrixType,UpLo> >
-{
-    typedef PermutationMatrix<Dynamic> Perm;
-  public:
-    typedef typename MatrixType::Scalar Scalar;
-    typedef typename MatrixType::Index Index;
-    typedef Matrix<Index,Dynamic,1> VectorI;
-    typedef typename MatrixType::Nested MatrixTypeNested;
-    typedef typename internal::remove_all<MatrixTypeNested>::type _MatrixTypeNested;
-    
-    SparseSymmetricPermutationProduct(const MatrixType& mat, const Perm& perm)
-      : m_matrix(mat), m_perm(perm)
-    {}
-    
-    inline Index rows() const { return m_matrix.rows(); }
-    inline Index cols() const { return m_matrix.cols(); }
-    
-    template<typename DestScalar> void evalTo(SparseMatrix<DestScalar>& _dest) const
-    {
-      internal::permute_symm_to_fullsymm<UpLo>(m_matrix,_dest,m_perm.indices().data());
-    }
-    
-    template<typename DestType,unsigned int DestUpLo> void evalTo(SparseSelfAdjointView<DestType,DestUpLo>& dest) const
-    {
-      internal::permute_symm_to_symm<UpLo,DestUpLo>(m_matrix,dest.matrix(),m_perm.indices().data());
-    }
-    
-  protected:
-    const MatrixTypeNested m_matrix;
-    const Perm& m_perm;
-
-};
-
-#endif // EIGEN_SPARSE_SELFADJOINTVIEW_H
diff --git a/extern/Eigen3/Eigen/src/Sparse/SparseSparseProduct.h b/extern/Eigen3/Eigen/src/Sparse/SparseSparseProduct.h
deleted file mode 100644
index 19abcd1f8e4..00000000000
--- a/extern/Eigen3/Eigen/src/Sparse/SparseSparseProduct.h
+++ /dev/null
@@ -1,401 +0,0 @@
-// This file is part of Eigen, a lightweight C++ template library
-// for linear algebra.
-//
-// Copyright (C) 2008-2010 Gael Guennebaud <gael.guennebaud@inria.fr>
-//
-// Eigen is free software; you can redistribute it and/or
-// modify it under the terms of the GNU Lesser General Public
-// License as published by the Free Software Foundation; either
-// version 3 of the License, or (at your option) any later version.
-//
-// Alternatively, you can redistribute it and/or
-// modify it under the terms of the GNU General Public License as
-// published by the Free Software Foundation; either version 2 of
-// the License, or (at your option) any later version.
-//
-// Eigen is distributed in the hope that it will be useful, but WITHOUT ANY
-// WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS
-// FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License or the
-// GNU General Public License for more details.
-//
-// You should have received a copy of the GNU Lesser General Public
-// License and a copy of the GNU General Public License along with
-// Eigen. If not, see <http://www.gnu.org/licenses/>.
-
-#ifndef EIGEN_SPARSESPARSEPRODUCT_H
-#define EIGEN_SPARSESPARSEPRODUCT_H
-
-namespace internal {
-
-template<typename Lhs, typename Rhs, typename ResultType>
-static void sparse_product_impl2(const Lhs& lhs, const Rhs& rhs, ResultType& res)
-{
-  typedef typename remove_all<Lhs>::type::Scalar Scalar;
-  typedef typename remove_all<Lhs>::type::Index Index;
-
-  // make sure to call innerSize/outerSize since we fake the storage order.
-  Index rows = lhs.innerSize();
-  Index cols = rhs.outerSize();
-  eigen_assert(lhs.outerSize() == rhs.innerSize());
-
-  std::vector<bool> mask(rows,false);
-  Matrix<Scalar,Dynamic,1> values(rows);
-  Matrix<Index,Dynamic,1>    indices(rows);
-
-  // estimate the number of non zero entries
-  float ratioLhs = float(lhs.nonZeros())/(float(lhs.rows())*float(lhs.cols()));
-  float avgNnzPerRhsColumn = float(rhs.nonZeros())/float(cols);
-  float ratioRes = (std::min)(ratioLhs * avgNnzPerRhsColumn, 1.f);
-
-//  int t200 = rows/(log2(200)*1.39);
-//  int t = (rows*100)/139;
-
-  res.resize(rows, cols);
-  res.reserve(Index(ratioRes*rows*cols));
-  // we compute each column of the result, one after the other
-  for (Index j=0; j<cols; ++j)
-  {
-
-    res.startVec(j);
-    Index nnz = 0;
-    for (typename Rhs::InnerIterator rhsIt(rhs, j); rhsIt; ++rhsIt)
-    {
-      Scalar y = rhsIt.value();
-      Index k = rhsIt.index();
-      for (typename Lhs::InnerIterator lhsIt(lhs, k); lhsIt; ++lhsIt)
-      {
-        Index i = lhsIt.index();
-        Scalar x = lhsIt.value();
-        if(!mask[i])
-        {
-          mask[i] = true;
-//           values[i] = x * y;
-//           indices[nnz] = i;
-          ++nnz;
-        }
-        else
-          values[i] += x * y;
-      }
-    }
-    // FIXME reserve nnz non zeros
-    // FIXME implement fast sort algorithms for very small nnz
-    // if the result is sparse enough => use a quick sort
-    // otherwise => loop through the entire vector
-    // In order to avoid to perform an expensive log2 when the
-    // result is clearly very sparse we use a linear bound up to 200.
-//     if((nnz<200 && nnz<t200) || nnz * log2(nnz) < t)
-//     {
-//       if(nnz>1) std::sort(indices.data(),indices.data()+nnz);
-//       for(int k=0; k<nnz; ++k)
-//       {
-//         int i = indices[k];
-//         res.insertBackNoCheck(j,i) = values[i];
-//         mask[i] = false;
-//       }
-//     }
-//     else
-//     {
-//       // dense path
-//       for(int i=0; i<rows; ++i)
-//       {
-//         if(mask[i])
-//         {
-//           mask[i] = false;
-//           res.insertBackNoCheck(j,i) = values[i];
-//         }
-//       }
-//     }
-
-  }
-  res.finalize();
-}
-
-// perform a pseudo in-place sparse * sparse product assuming all matrices are col major
-template<typename Lhs, typename Rhs, typename ResultType>
-static void sparse_product_impl(const Lhs& lhs, const Rhs& rhs, ResultType& res)
-{
-//   return sparse_product_impl2(lhs,rhs,res);
-
-  typedef typename remove_all<Lhs>::type::Scalar Scalar;
-  typedef typename remove_all<Lhs>::type::Index Index;
-
-  // make sure to call innerSize/outerSize since we fake the storage order.
-  Index rows = lhs.innerSize();
-  Index cols = rhs.outerSize();
-  //int size = lhs.outerSize();
-  eigen_assert(lhs.outerSize() == rhs.innerSize());
-
-  // allocate a temporary buffer
-  AmbiVector<Scalar,Index> tempVector(rows);
-
-  // estimate the number of non zero entries
-  float ratioLhs = float(lhs.nonZeros())/(float(lhs.rows())*float(lhs.cols()));
-  float avgNnzPerRhsColumn = float(rhs.nonZeros())/float(cols);
-  float ratioRes = (std::min)(ratioLhs * avgNnzPerRhsColumn, 1.f);
-
-  // mimics a resizeByInnerOuter:
-  if(ResultType::IsRowMajor)
-    res.resize(cols, rows);
-  else
-    res.resize(rows, cols);
-
-  res.reserve(Index(ratioRes*rows*cols));
-  for (Index j=0; j<cols; ++j)
-  {
-    // let's do a more accurate determination of the nnz ratio for the current column j of res
-    //float ratioColRes = (std::min)(ratioLhs * rhs.innerNonZeros(j), 1.f);
-    // FIXME find a nice way to get the number of nonzeros of a sub matrix (here an inner vector)
-    float ratioColRes = ratioRes;
-    tempVector.init(ratioColRes);
-    tempVector.setZero();
-    for (typename Rhs::InnerIterator rhsIt(rhs, j); rhsIt; ++rhsIt)
-    {
-      // FIXME should be written like this: tmp += rhsIt.value() * lhs.col(rhsIt.index())
-      tempVector.restart();
-      Scalar x = rhsIt.value();
-      for (typename Lhs::InnerIterator lhsIt(lhs, rhsIt.index()); lhsIt; ++lhsIt)
-      {
-        tempVector.coeffRef(lhsIt.index()) += lhsIt.value() * x;
-      }
-    }
-    res.startVec(j);
-    for (typename AmbiVector<Scalar,Index>::Iterator it(tempVector); it; ++it)
-      res.insertBackByOuterInner(j,it.index()) = it.value();
-  }
-  res.finalize();
-}
-
-template<typename Lhs, typename Rhs, typename ResultType,
-  int LhsStorageOrder = traits<Lhs>::Flags&RowMajorBit,
-  int RhsStorageOrder = traits<Rhs>::Flags&RowMajorBit,
-  int ResStorageOrder = traits<ResultType>::Flags&RowMajorBit>
-struct sparse_product_selector;
-
-template<typename Lhs, typename Rhs, typename ResultType>
-struct sparse_product_selector<Lhs,Rhs,ResultType,ColMajor,ColMajor,ColMajor>
-{
-  typedef typename traits<typename remove_all<Lhs>::type>::Scalar Scalar;
-
-  static void run(const Lhs& lhs, const Rhs& rhs, ResultType& res)
-  {
-//     std::cerr << __LINE__ << "\n";
-    typename remove_all<ResultType>::type _res(res.rows(), res.cols());
-    sparse_product_impl<Lhs,Rhs,ResultType>(lhs, rhs, _res);
-    res.swap(_res);
-  }
-};
-
-template<typename Lhs, typename Rhs, typename ResultType>
-struct sparse_product_selector<Lhs,Rhs,ResultType,ColMajor,ColMajor,RowMajor>
-{
-  static void run(const Lhs& lhs, const Rhs& rhs, ResultType& res)
-  {
-//     std::cerr << __LINE__ << "\n";
-    // we need a col-major matrix to hold the result
-    typedef SparseMatrix<typename ResultType::Scalar> SparseTemporaryType;
-    SparseTemporaryType _res(res.rows(), res.cols());
-    sparse_product_impl<Lhs,Rhs,SparseTemporaryType>(lhs, rhs, _res);
-    res = _res;
-  }
-};
-
-template<typename Lhs, typename Rhs, typename ResultType>
-struct sparse_product_selector<Lhs,Rhs,ResultType,RowMajor,RowMajor,RowMajor>
-{
-  static void run(const Lhs& lhs, const Rhs& rhs, ResultType& res)
-  {
-//     std::cerr << __LINE__ << "\n";
-    // let's transpose the product to get a column x column product
-    typename remove_all<ResultType>::type _res(res.rows(), res.cols());
-    sparse_product_impl<Rhs,Lhs,ResultType>(rhs, lhs, _res);
-    res.swap(_res);
-  }
-};
-
-template<typename Lhs, typename Rhs, typename ResultType>
-struct sparse_product_selector<Lhs,Rhs,ResultType,RowMajor,RowMajor,ColMajor>
-{
-  static void run(const Lhs& lhs, const Rhs& rhs, ResultType& res)
-  {
-//     std::cerr << "here...\n";
-    typedef SparseMatrix<typename ResultType::Scalar,ColMajor> ColMajorMatrix;
-    ColMajorMatrix colLhs(lhs);
-    ColMajorMatrix colRhs(rhs);
-//     std::cerr << "more...\n";
-    sparse_product_impl<ColMajorMatrix,ColMajorMatrix,ResultType>(colLhs, colRhs, res);
-//     std::cerr << "OK.\n";
-
-    // let's transpose the product to get a column x column product
-
-//     typedef SparseMatrix<typename ResultType::Scalar> SparseTemporaryType;
-//     SparseTemporaryType _res(res.cols(), res.rows());
-//     sparse_product_impl<Rhs,Lhs,SparseTemporaryType>(rhs, lhs, _res);
-//     res = _res.transpose();
-  }
-};
-
-// NOTE the 2 others cases (col row *) must never occur since they are caught
-// by ProductReturnType which transforms it to (col col *) by evaluating rhs.
-
-} // end namespace internal
-
-// sparse = sparse * sparse
-template<typename Derived>
-template<typename Lhs, typename Rhs>
-inline Derived& SparseMatrixBase<Derived>::operator=(const SparseSparseProduct<Lhs,Rhs>& product)
-{
-//   std::cerr << "there..." << typeid(Lhs).name() << "  " << typeid(Lhs).name() << " " << (Derived::Flags&&RowMajorBit) << "\n";
-  internal::sparse_product_selector<
-    typename internal::remove_all<Lhs>::type,
-    typename internal::remove_all<Rhs>::type,
-    Derived>::run(product.lhs(),product.rhs(),derived());
-  return derived();
-}
-
-namespace internal {
-
-template<typename Lhs, typename Rhs, typename ResultType,
-  int LhsStorageOrder = traits<Lhs>::Flags&RowMajorBit,
-  int RhsStorageOrder = traits<Rhs>::Flags&RowMajorBit,
-  int ResStorageOrder = traits<ResultType>::Flags&RowMajorBit>
-struct sparse_product_selector2;
-
-template<typename Lhs, typename Rhs, typename ResultType>
-struct sparse_product_selector2<Lhs,Rhs,ResultType,ColMajor,ColMajor,ColMajor>
-{
-  typedef typename traits<typename remove_all<Lhs>::type>::Scalar Scalar;
-
-  static void run(const Lhs& lhs, const Rhs& rhs, ResultType& res)
-  {
-    sparse_product_impl2<Lhs,Rhs,ResultType>(lhs, rhs, res);
-  }
-};
-
-template<typename Lhs, typename Rhs, typename ResultType>
-struct sparse_product_selector2<Lhs,Rhs,ResultType,RowMajor,ColMajor,ColMajor>
-{
-  static void run(const Lhs& lhs, const Rhs& rhs, ResultType& res)
-  {
-      // prevent warnings until the code is fixed
-      EIGEN_UNUSED_VARIABLE(lhs);
-      EIGEN_UNUSED_VARIABLE(rhs);
-      EIGEN_UNUSED_VARIABLE(res);
-
-//     typedef SparseMatrix<typename ResultType::Scalar,RowMajor> RowMajorMatrix;
-//     RowMajorMatrix rhsRow = rhs;
-//     RowMajorMatrix resRow(res.rows(), res.cols());
-//     sparse_product_impl2<RowMajorMatrix,Lhs,RowMajorMatrix>(rhsRow, lhs, resRow);
-//     res = resRow;
-  }
-};
-
-template<typename Lhs, typename Rhs, typename ResultType>
-struct sparse_product_selector2<Lhs,Rhs,ResultType,ColMajor,RowMajor,ColMajor>
-{
-  static void run(const Lhs& lhs, const Rhs& rhs, ResultType& res)
-  {
-    typedef SparseMatrix<typename ResultType::Scalar,RowMajor> RowMajorMatrix;
-    RowMajorMatrix lhsRow = lhs;
-    RowMajorMatrix resRow(res.rows(), res.cols());
-    sparse_product_impl2<Rhs,RowMajorMatrix,RowMajorMatrix>(rhs, lhsRow, resRow);
-    res = resRow;
-  }
-};
-
-template<typename Lhs, typename Rhs, typename ResultType>
-struct sparse_product_selector2<Lhs,Rhs,ResultType,RowMajor,RowMajor,ColMajor>
-{
-  static void run(const Lhs& lhs, const Rhs& rhs, ResultType& res)
-  {
-    typedef SparseMatrix<typename ResultType::Scalar,RowMajor> RowMajorMatrix;
-    RowMajorMatrix resRow(res.rows(), res.cols());
-    sparse_product_impl2<Rhs,Lhs,RowMajorMatrix>(rhs, lhs, resRow);
-    res = resRow;
-  }
-};
-
-
-template<typename Lhs, typename Rhs, typename ResultType>
-struct sparse_product_selector2<Lhs,Rhs,ResultType,ColMajor,ColMajor,RowMajor>
-{
-  typedef typename traits<typename remove_all<Lhs>::type>::Scalar Scalar;
-
-  static void run(const Lhs& lhs, const Rhs& rhs, ResultType& res)
-  {
-    typedef SparseMatrix<typename ResultType::Scalar,ColMajor> ColMajorMatrix;
-    ColMajorMatrix resCol(res.rows(), res.cols());
-    sparse_product_impl2<Lhs,Rhs,ColMajorMatrix>(lhs, rhs, resCol);
-    res = resCol;
-  }
-};
-
-template<typename Lhs, typename Rhs, typename ResultType>
-struct sparse_product_selector2<Lhs,Rhs,ResultType,RowMajor,ColMajor,RowMajor>
-{
-  static void run(const Lhs& lhs, const Rhs& rhs, ResultType& res)
-  {
-    typedef SparseMatrix<typename ResultType::Scalar,ColMajor> ColMajorMatrix;
-    ColMajorMatrix lhsCol = lhs;
-    ColMajorMatrix resCol(res.rows(), res.cols());
-    sparse_product_impl2<ColMajorMatrix,Rhs,ColMajorMatrix>(lhsCol, rhs, resCol);
-    res = resCol;
-  }
-};
-
-template<typename Lhs, typename Rhs, typename ResultType>
-struct sparse_product_selector2<Lhs,Rhs,ResultType,ColMajor,RowMajor,RowMajor>
-{
-  static void run(const Lhs& lhs, const Rhs& rhs, ResultType& res)
-  {
-    typedef SparseMatrix<typename ResultType::Scalar,ColMajor> ColMajorMatrix;
-    ColMajorMatrix rhsCol = rhs;
-    ColMajorMatrix resCol(res.rows(), res.cols());
-    sparse_product_impl2<Lhs,ColMajorMatrix,ColMajorMatrix>(lhs, rhsCol, resCol);
-    res = resCol;
-  }
-};
-
-template<typename Lhs, typename Rhs, typename ResultType>
-struct sparse_product_selector2<Lhs,Rhs,ResultType,RowMajor,RowMajor,RowMajor>
-{
-  static void run(const Lhs& lhs, const Rhs& rhs, ResultType& res)
-  {
-    typedef SparseMatrix<typename ResultType::Scalar,ColMajor> ColMajorMatrix;
-//     ColMajorMatrix lhsTr(lhs);
-//     ColMajorMatrix rhsTr(rhs);
-//     ColMajorMatrix aux(res.rows(), res.cols());
-//     sparse_product_impl2<Rhs,Lhs,ColMajorMatrix>(rhs, lhs, aux);
-// //     ColMajorMatrix aux2 = aux.transpose();
-//     res = aux;
-    typedef SparseMatrix<typename ResultType::Scalar,ColMajor> ColMajorMatrix;
-    ColMajorMatrix lhsCol(lhs);
-    ColMajorMatrix rhsCol(rhs);
-    ColMajorMatrix resCol(res.rows(), res.cols());
-    sparse_product_impl2<ColMajorMatrix,ColMajorMatrix,ColMajorMatrix>(lhsCol, rhsCol, resCol);
-    res = resCol;
-  }
-};
-
-} // end namespace internal
-
-template<typename Derived>
-template<typename Lhs, typename Rhs>
-inline void SparseMatrixBase<Derived>::_experimentalNewProduct(const Lhs& lhs, const Rhs& rhs)
-{
-  //derived().resize(lhs.rows(), rhs.cols());
-  internal::sparse_product_selector2<
-    typename internal::remove_all<Lhs>::type,
-    typename internal::remove_all<Rhs>::type,
-    Derived>::run(lhs,rhs,derived());
-}
-
-// sparse * sparse
-template<typename Derived>
-template<typename OtherDerived>
-inline const typename SparseSparseProductReturnType<Derived,OtherDerived>::Type
-SparseMatrixBase<Derived>::operator*(const SparseMatrixBase<OtherDerived> &other) const
-{
-  return typename SparseSparseProductReturnType<Derived,OtherDerived>::Type(derived(), other.derived());
-}
-
-#endif // EIGEN_SPARSESPARSEPRODUCT_H
diff --git a/extern/Eigen3/Eigen/src/Sparse/SparseTranspose.h b/extern/Eigen3/Eigen/src/Sparse/SparseTranspose.h
deleted file mode 100644
index 2aea2fa32c7..00000000000
--- a/extern/Eigen3/Eigen/src/Sparse/SparseTranspose.h
+++ /dev/null
@@ -1,68 +0,0 @@
-// This file is part of Eigen, a lightweight C++ template library
-// for linear algebra.
-//
-// Copyright (C) 2008-2009 Gael Guennebaud <gael.guennebaud@inria.fr>
-//
-// Eigen is free software; you can redistribute it and/or
-// modify it under the terms of the GNU Lesser General Public
-// License as published by the Free Software Foundation; either
-// version 3 of the License, or (at your option) any later version.
-//
-// Alternatively, you can redistribute it and/or
-// modify it under the terms of the GNU General Public License as
-// published by the Free Software Foundation; either version 2 of
-// the License, or (at your option) any later version.
-//
-// Eigen is distributed in the hope that it will be useful, but WITHOUT ANY
-// WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS
-// FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License or the
-// GNU General Public License for more details.
-//
-// You should have received a copy of the GNU Lesser General Public
-// License and a copy of the GNU General Public License along with
-// Eigen. If not, see <http://www.gnu.org/licenses/>.
-
-#ifndef EIGEN_SPARSETRANSPOSE_H
-#define EIGEN_SPARSETRANSPOSE_H
-
-template<typename MatrixType> class TransposeImpl<MatrixType,Sparse>
-  : public SparseMatrixBase<Transpose<MatrixType> >
-{
-    typedef typename internal::remove_all<typename MatrixType::Nested>::type _MatrixTypeNested;
-  public:
-
-    EIGEN_SPARSE_PUBLIC_INTERFACE(Transpose<MatrixType>)
-
-    class InnerIterator;
-    class ReverseInnerIterator;
-
-    inline Index nonZeros() const { return derived().nestedExpression().nonZeros(); }
-};
-
-template<typename MatrixType> class TransposeImpl<MatrixType,Sparse>::InnerIterator
-  : public _MatrixTypeNested::InnerIterator
-{
-    typedef typename _MatrixTypeNested::InnerIterator Base;
-  public:
-
-    EIGEN_STRONG_INLINE InnerIterator(const TransposeImpl& trans, Index outer)
-      : Base(trans.derived().nestedExpression(), outer)
-    {}
-    inline Index row() const { return Base::col(); }
-    inline Index col() const { return Base::row(); }
-};
-
-template<typename MatrixType> class TransposeImpl<MatrixType,Sparse>::ReverseInnerIterator
-  : public _MatrixTypeNested::ReverseInnerIterator
-{
-    typedef typename _MatrixTypeNested::ReverseInnerIterator Base;
-  public:
-
-    EIGEN_STRONG_INLINE ReverseInnerIterator(const TransposeImpl& xpr, Index outer)
-      : Base(xpr.derived().nestedExpression(), outer)
-    {}
-    inline Index row() const { return Base::col(); }
-    inline Index col() const { return Base::row(); }
-};
-
-#endif // EIGEN_SPARSETRANSPOSE_H
diff --git a/extern/Eigen3/Eigen/src/Sparse/SparseTriangularView.h b/extern/Eigen3/Eigen/src/Sparse/SparseTriangularView.h
deleted file mode 100644
index 319eaf06638..00000000000
--- a/extern/Eigen3/Eigen/src/Sparse/SparseTriangularView.h
+++ /dev/null
@@ -1,100 +0,0 @@
-// This file is part of Eigen, a lightweight C++ template library
-// for linear algebra.
-//
-// Copyright (C) 2009 Gael Guennebaud <gael.guennebaud@inria.fr>
-//
-// Eigen is free software; you can redistribute it and/or
-// modify it under the terms of the GNU Lesser General Public
-// License as published by the Free Software Foundation; either
-// version 3 of the License, or (at your option) any later version.
-//
-// Alternatively, you can redistribute it and/or
-// modify it under the terms of the GNU General Public License as
-// published by the Free Software Foundation; either version 2 of
-// the License, or (at your option) any later version.
-//
-// Eigen is distributed in the hope that it will be useful, but WITHOUT ANY
-// WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS
-// FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License or the
-// GNU General Public License for more details.
-//
-// You should have received a copy of the GNU Lesser General Public
-// License and a copy of the GNU General Public License along with
-// Eigen. If not, see <http://www.gnu.org/licenses/>.
-
-#ifndef EIGEN_SPARSE_TRIANGULARVIEW_H
-#define EIGEN_SPARSE_TRIANGULARVIEW_H
-
-namespace internal {
-  
-template<typename MatrixType, int Mode>
-struct traits<SparseTriangularView<MatrixType,Mode> >
-: public traits<MatrixType>
-{};
-
-} // namespace internal
-
-template<typename MatrixType, int Mode> class SparseTriangularView
-  : public SparseMatrixBase<SparseTriangularView<MatrixType,Mode> >
-{
-    enum { SkipFirst = (Mode==Lower && !(MatrixType::Flags&RowMajorBit))
-                    || (Mode==Upper &&  (MatrixType::Flags&RowMajorBit)) };
-  public:
-    
-    EIGEN_SPARSE_PUBLIC_INTERFACE(SparseTriangularView)
-
-    class InnerIterator;
-
-    inline Index rows() const { return m_matrix.rows(); }
-    inline Index cols() const { return m_matrix.cols(); }
-
-    typedef typename internal::conditional<internal::must_nest_by_value<MatrixType>::ret,
-        MatrixType, const MatrixType&>::type MatrixTypeNested;
-
-    inline SparseTriangularView(const MatrixType& matrix) : m_matrix(matrix) {}
-
-    /** \internal */
-    inline const MatrixType& nestedExpression() const { return m_matrix; }
-
-    template<typename OtherDerived>
-    typename internal::plain_matrix_type_column_major<OtherDerived>::type
-    solve(const MatrixBase<OtherDerived>& other) const;
-
-    template<typename OtherDerived> void solveInPlace(MatrixBase<OtherDerived>& other) const;
-    template<typename OtherDerived> void solveInPlace(SparseMatrixBase<OtherDerived>& other) const;
-
-  protected:
-    MatrixTypeNested m_matrix;
-};
-
-template<typename MatrixType, int Mode>
-class SparseTriangularView<MatrixType,Mode>::InnerIterator : public MatrixType::InnerIterator
-{
-    typedef typename MatrixType::InnerIterator Base;
-  public:
-
-    EIGEN_STRONG_INLINE InnerIterator(const SparseTriangularView& view, Index outer)
-      : Base(view.nestedExpression(), outer)
-    {
-      if(SkipFirst)
-        while((*this) && this->index()<outer)
-          ++(*this);
-    }
-    inline Index row() const { return Base::row(); }
-    inline Index col() const { return Base::col(); }
-
-    EIGEN_STRONG_INLINE operator bool() const
-    {
-      return SkipFirst ? Base::operator bool() : (Base::operator bool() && this->index() <= this->outer());
-    }
-};
-
-template<typename Derived>
-template<int Mode>
-inline const SparseTriangularView<Derived, Mode>
-SparseMatrixBase<Derived>::triangularView() const
-{
-  return derived();
-}
-
-#endif // EIGEN_SPARSE_TRIANGULARVIEW_H
diff --git a/extern/Eigen3/Eigen/src/Sparse/SparseUtil.h b/extern/Eigen3/Eigen/src/Sparse/SparseUtil.h
deleted file mode 100644
index db9ae98e7a0..00000000000
--- a/extern/Eigen3/Eigen/src/Sparse/SparseUtil.h
+++ /dev/null
@@ -1,130 +0,0 @@
-// This file is part of Eigen, a lightweight C++ template library
-// for linear algebra.
-//
-// Copyright (C) 2008 Gael Guennebaud <gael.guennebaud@inria.fr>
-//
-// Eigen is free software; you can redistribute it and/or
-// modify it under the terms of the GNU Lesser General Public
-// License as published by the Free Software Foundation; either
-// version 3 of the License, or (at your option) any later version.
-//
-// Alternatively, you can redistribute it and/or
-// modify it under the terms of the GNU General Public License as
-// published by the Free Software Foundation; either version 2 of
-// the License, or (at your option) any later version.
-//
-// Eigen is distributed in the hope that it will be useful, but WITHOUT ANY
-// WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS
-// FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License or the
-// GNU General Public License for more details.
-//
-// You should have received a copy of the GNU Lesser General Public
-// License and a copy of the GNU General Public License along with
-// Eigen. If not, see <http://www.gnu.org/licenses/>.
-
-#ifndef EIGEN_SPARSEUTIL_H
-#define EIGEN_SPARSEUTIL_H
-
-#ifdef NDEBUG
-#define EIGEN_DBG_SPARSE(X)
-#else
-#define EIGEN_DBG_SPARSE(X) X
-#endif
-
-#define EIGEN_SPARSE_INHERIT_ASSIGNMENT_OPERATOR(Derived, Op) \
-template<typename OtherDerived> \
-EIGEN_STRONG_INLINE Derived& operator Op(const Eigen::SparseMatrixBase<OtherDerived>& other) \
-{ \
-  return Base::operator Op(other.derived()); \
-} \
-EIGEN_STRONG_INLINE Derived& operator Op(const Derived& other) \
-{ \
-  return Base::operator Op(other); \
-}
-
-#define EIGEN_SPARSE_INHERIT_SCALAR_ASSIGNMENT_OPERATOR(Derived, Op) \
-template<typename Other> \
-EIGEN_STRONG_INLINE Derived& operator Op(const Other& scalar) \
-{ \
-  return Base::operator Op(scalar); \
-}
-
-#define EIGEN_SPARSE_INHERIT_ASSIGNMENT_OPERATORS(Derived) \
-EIGEN_SPARSE_INHERIT_ASSIGNMENT_OPERATOR(Derived, =) \
-EIGEN_SPARSE_INHERIT_ASSIGNMENT_OPERATOR(Derived, +=) \
-EIGEN_SPARSE_INHERIT_ASSIGNMENT_OPERATOR(Derived, -=) \
-EIGEN_SPARSE_INHERIT_SCALAR_ASSIGNMENT_OPERATOR(Derived, *=) \
-EIGEN_SPARSE_INHERIT_SCALAR_ASSIGNMENT_OPERATOR(Derived, /=)
-
-#define _EIGEN_SPARSE_PUBLIC_INTERFACE(Derived, BaseClass) \
-  typedef BaseClass Base; \
-  typedef typename Eigen::internal::traits<Derived>::Scalar Scalar; \
-  typedef typename Eigen::NumTraits<Scalar>::Real RealScalar; \
-  typedef typename Eigen::internal::nested<Derived>::type Nested; \
-  typedef typename Eigen::internal::traits<Derived>::StorageKind StorageKind; \
-  typedef typename Eigen::internal::traits<Derived>::Index Index; \
-  enum { RowsAtCompileTime = Eigen::internal::traits<Derived>::RowsAtCompileTime, \
-        ColsAtCompileTime = Eigen::internal::traits<Derived>::ColsAtCompileTime, \
-        Flags = Eigen::internal::traits<Derived>::Flags, \
-        CoeffReadCost = Eigen::internal::traits<Derived>::CoeffReadCost, \
-        SizeAtCompileTime = Base::SizeAtCompileTime, \
-        IsVectorAtCompileTime = Base::IsVectorAtCompileTime }; \
-  using Base::derived; \
-  using Base::const_cast_derived;
-
-#define EIGEN_SPARSE_PUBLIC_INTERFACE(Derived) \
-  _EIGEN_SPARSE_PUBLIC_INTERFACE(Derived, Eigen::SparseMatrixBase<Derived>)
-
-const int CoherentAccessPattern     = 0x1;
-const int InnerRandomAccessPattern  = 0x2 | CoherentAccessPattern;
-const int OuterRandomAccessPattern  = 0x4 | CoherentAccessPattern;
-const int RandomAccessPattern       = 0x8 | OuterRandomAccessPattern | InnerRandomAccessPattern;
-
-template<typename Derived> class SparseMatrixBase;
-template<typename _Scalar, int _Flags = 0, typename _Index = int>  class SparseMatrix;
-template<typename _Scalar, int _Flags = 0, typename _Index = int>  class DynamicSparseMatrix;
-template<typename _Scalar, int _Flags = 0, typename _Index = int>  class SparseVector;
-template<typename _Scalar, int _Flags = 0, typename _Index = int>  class MappedSparseMatrix;
-
-template<typename MatrixType, int Size>           class SparseInnerVectorSet;
-template<typename MatrixType, int Mode>           class SparseTriangularView;
-template<typename MatrixType, unsigned int UpLo>  class SparseSelfAdjointView;
-template<typename Lhs, typename Rhs>              class SparseDiagonalProduct;
-template<typename MatrixType> class SparseView;
-
-template<typename Lhs, typename Rhs>        class SparseSparseProduct;
-template<typename Lhs, typename Rhs>        class SparseTimeDenseProduct;
-template<typename Lhs, typename Rhs>        class DenseTimeSparseProduct;
-template<typename Lhs, typename Rhs, bool Transpose> class SparseDenseOuterProduct;
-
-template<typename Lhs, typename Rhs> struct SparseSparseProductReturnType;
-template<typename Lhs, typename Rhs, int InnerSize = internal::traits<Lhs>::ColsAtCompileTime> struct DenseSparseProductReturnType;
-template<typename Lhs, typename Rhs, int InnerSize = internal::traits<Lhs>::ColsAtCompileTime> struct SparseDenseProductReturnType;
-
-namespace internal {
-
-template<typename T> struct eval<T,Sparse>
-{
-    typedef typename traits<T>::Scalar _Scalar;
-    enum {
-          _Flags = traits<T>::Flags
-    };
-
-  public:
-    typedef SparseMatrix<_Scalar, _Flags> type;
-};
-
-template<typename T> struct plain_matrix_type<T,Sparse>
-{
-  typedef typename traits<T>::Scalar _Scalar;
-    enum {
-          _Flags = traits<T>::Flags
-    };
-
-  public:
-    typedef SparseMatrix<_Scalar, _Flags> type;
-};
-
-} // end namespace internal
-
-#endif // EIGEN_SPARSEUTIL_H
diff --git a/extern/Eigen3/Eigen/src/Sparse/SparseVector.h b/extern/Eigen3/Eigen/src/Sparse/SparseVector.h
deleted file mode 100644
index ce4bb51a27e..00000000000
--- a/extern/Eigen3/Eigen/src/Sparse/SparseVector.h
+++ /dev/null
@@ -1,431 +0,0 @@
-// This file is part of Eigen, a lightweight C++ template library
-// for linear algebra.
-//
-// Copyright (C) 2008-2009 Gael Guennebaud <gael.guennebaud@inria.fr>
-//
-// Eigen is free software; you can redistribute it and/or
-// modify it under the terms of the GNU Lesser General Public
-// License as published by the Free Software Foundation; either
-// version 3 of the License, or (at your option) any later version.
-//
-// Alternatively, you can redistribute it and/or
-// modify it under the terms of the GNU General Public License as
-// published by the Free Software Foundation; either version 2 of
-// the License, or (at your option) any later version.
-//
-// Eigen is distributed in the hope that it will be useful, but WITHOUT ANY
-// WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS
-// FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License or the
-// GNU General Public License for more details.
-//
-// You should have received a copy of the GNU Lesser General Public
-// License and a copy of the GNU General Public License along with
-// Eigen. If not, see <http://www.gnu.org/licenses/>.
-
-#ifndef EIGEN_SPARSEVECTOR_H
-#define EIGEN_SPARSEVECTOR_H
-
-/** \class SparseVector
-  *
-  * \brief a sparse vector class
-  *
-  * \tparam _Scalar the scalar type, i.e. the type of the coefficients
-  *
-  * See http://www.netlib.org/linalg/html_templates/node91.html for details on the storage scheme.
-  *
-  * This class can be extended with the help of the plugin mechanism described on the page
-  * \ref TopicCustomizingEigen by defining the preprocessor symbol \c EIGEN_SPARSEVECTOR_PLUGIN.
-  */
-
-namespace internal {
-template<typename _Scalar, int _Options, typename _Index>
-struct traits<SparseVector<_Scalar, _Options, _Index> >
-{
-  typedef _Scalar Scalar;
-  typedef _Index Index;
-  typedef Sparse StorageKind;
-  typedef MatrixXpr XprKind;
-  enum {
-    IsColVector = _Options & RowMajorBit ? 0 : 1,
-
-    RowsAtCompileTime = IsColVector ? Dynamic : 1,
-    ColsAtCompileTime = IsColVector ? 1 : Dynamic,
-    MaxRowsAtCompileTime = RowsAtCompileTime,
-    MaxColsAtCompileTime = ColsAtCompileTime,
-    Flags = _Options | NestByRefBit | LvalueBit,
-    CoeffReadCost = NumTraits<Scalar>::ReadCost,
-    SupportedAccessPatterns = InnerRandomAccessPattern
-  };
-};
-}
-
-template<typename _Scalar, int _Options, typename _Index>
-class SparseVector
-  : public SparseMatrixBase<SparseVector<_Scalar, _Options, _Index> >
-{
-  public:
-    EIGEN_SPARSE_PUBLIC_INTERFACE(SparseVector)
-    EIGEN_SPARSE_INHERIT_ASSIGNMENT_OPERATOR(SparseVector, +=)
-    EIGEN_SPARSE_INHERIT_ASSIGNMENT_OPERATOR(SparseVector, -=)
-//     EIGEN_SPARSE_INHERIT_ASSIGNMENT_OPERATOR(SparseVector, =)
-
-  protected:
-  public:
-
-    typedef SparseMatrixBase<SparseVector> SparseBase;
-    enum { IsColVector = internal::traits<SparseVector>::IsColVector };
-    
-    enum {
-      Options = _Options
-    };
-
-    CompressedStorage<Scalar,Index> m_data;
-    Index m_size;
-
-    CompressedStorage<Scalar,Index>& _data() { return m_data; }
-    CompressedStorage<Scalar,Index>& _data() const { return m_data; }
-
-  public:
-
-    EIGEN_STRONG_INLINE Index rows() const { return IsColVector ? m_size : 1; }
-    EIGEN_STRONG_INLINE Index cols() const { return IsColVector ? 1 : m_size; }
-    EIGEN_STRONG_INLINE Index innerSize() const { return m_size; }
-    EIGEN_STRONG_INLINE Index outerSize() const { return 1; }
-    EIGEN_STRONG_INLINE Index innerNonZeros(Index j) const { eigen_assert(j==0); return m_size; }
-
-    EIGEN_STRONG_INLINE const Scalar* _valuePtr() const { return &m_data.value(0); }
-    EIGEN_STRONG_INLINE Scalar* _valuePtr() { return &m_data.value(0); }
-
-    EIGEN_STRONG_INLINE const Index* _innerIndexPtr() const { return &m_data.index(0); }
-    EIGEN_STRONG_INLINE Index* _innerIndexPtr() { return &m_data.index(0); }
-
-    inline Scalar coeff(Index row, Index col) const
-    {
-      eigen_assert((IsColVector ? col : row)==0);
-      return coeff(IsColVector ? row : col);
-    }
-    inline Scalar coeff(Index i) const { return m_data.at(i); }
-
-    inline Scalar& coeffRef(Index row, Index col)
-    {
-      eigen_assert((IsColVector ? col : row)==0);
-      return coeff(IsColVector ? row : col);
-    }
-
-    /** \returns a reference to the coefficient value at given index \a i
-      * This operation involes a log(rho*size) binary search. If the coefficient does not
-      * exist yet, then a sorted insertion into a sequential buffer is performed.
-      *
-      * This insertion might be very costly if the number of nonzeros above \a i is large.
-      */
-    inline Scalar& coeffRef(Index i)
-    {
-      return m_data.atWithInsertion(i);
-    }
-
-  public:
-
-    class InnerIterator;
-
-    inline void setZero() { m_data.clear(); }
-
-    /** \returns the number of non zero coefficients */
-    inline Index nonZeros() const  { return static_cast<Index>(m_data.size()); }
-
-    inline void startVec(Index outer)
-    {
-      eigen_assert(outer==0);
-    }
-
-    inline Scalar& insertBackByOuterInner(Index outer, Index inner)
-    {
-      eigen_assert(outer==0);
-      return insertBack(inner);
-    }
-    inline Scalar& insertBack(Index i)
-    {
-      m_data.append(0, i);
-      return m_data.value(m_data.size()-1);
-    }
-
-    inline Scalar& insert(Index row, Index col)
-    {
-      Index inner = IsColVector ? row : col;
-      Index outer = IsColVector ? col : row;
-      eigen_assert(outer==0);
-      return insert(inner);
-    }
-    Scalar& insert(Index i)
-    {
-      Index startId = 0;
-      Index p = m_data.size() - 1;
-      // TODO smart realloc
-      m_data.resize(p+2,1);
-
-      while ( (p >= startId) && (m_data.index(p) > i) )
-      {
-        m_data.index(p+1) = m_data.index(p);
-        m_data.value(p+1) = m_data.value(p);
-        --p;
-      }
-      m_data.index(p+1) = i;
-      m_data.value(p+1) = 0;
-      return m_data.value(p+1);
-    }
-
-    /**
-      */
-    inline void reserve(Index reserveSize) { m_data.reserve(reserveSize); }
-
-
-    inline void finalize() {}
-
-    void prune(Scalar reference, RealScalar epsilon = NumTraits<RealScalar>::dummy_precision())
-    {
-      m_data.prune(reference,epsilon);
-    }
-
-    void resize(Index rows, Index cols)
-    {
-      eigen_assert(rows==1 || cols==1);
-      resize(IsColVector ? rows : cols);
-    }
-
-    void resize(Index newSize)
-    {
-      m_size = newSize;
-      m_data.clear();
-    }
-
-    void resizeNonZeros(Index size) { m_data.resize(size); }
-
-    inline SparseVector() : m_size(0) { resize(0); }
-
-    inline SparseVector(Index size) : m_size(0) { resize(size); }
-
-    inline SparseVector(Index rows, Index cols) : m_size(0) { resize(rows,cols); }
-
-    template<typename OtherDerived>
-    inline SparseVector(const MatrixBase<OtherDerived>& other)
-      : m_size(0)
-    {
-      *this = other.derived();
-    }
-
-    template<typename OtherDerived>
-    inline SparseVector(const SparseMatrixBase<OtherDerived>& other)
-      : m_size(0)
-    {
-      *this = other.derived();
-    }
-
-    inline SparseVector(const SparseVector& other)
-      : m_size(0)
-    {
-      *this = other.derived();
-    }
-
-    inline void swap(SparseVector& other)
-    {
-      std::swap(m_size, other.m_size);
-      m_data.swap(other.m_data);
-    }
-
-    inline SparseVector& operator=(const SparseVector& other)
-    {
-      if (other.isRValue())
-      {
-        swap(other.const_cast_derived());
-      }
-      else
-      {
-        resize(other.size());
-        m_data = other.m_data;
-      }
-      return *this;
-    }
-
-    template<typename OtherDerived>
-    inline SparseVector& operator=(const SparseMatrixBase<OtherDerived>& other)
-    {
-      if (int(RowsAtCompileTime)!=int(OtherDerived::RowsAtCompileTime))
-        return Base::operator=(other.transpose());
-      else
-        return Base::operator=(other);
-    }
-
-    #ifndef EIGEN_PARSED_BY_DOXYGEN
-    template<typename Lhs, typename Rhs>
-    inline SparseVector& operator=(const SparseSparseProduct<Lhs,Rhs>& product)
-    {
-      return Base::operator=(product);
-    }
-    #endif
-
-//       const bool needToTranspose = (Flags & RowMajorBit) != (OtherDerived::Flags & RowMajorBit);
-//       if (needToTranspose)
-//       {
-//         // two passes algorithm:
-//         //  1 - compute the number of coeffs per dest inner vector
-//         //  2 - do the actual copy/eval
-//         // Since each coeff of the rhs has to be evaluated twice, let's evauluate it if needed
-//         typedef typename internal::nested<OtherDerived,2>::type OtherCopy;
-//         OtherCopy otherCopy(other.derived());
-//         typedef typename internal::remove_all<OtherCopy>::type _OtherCopy;
-//
-//         resize(other.rows(), other.cols());
-//         Eigen::Map<VectorXi>(m_outerIndex,outerSize()).setZero();
-//         // pass 1
-//         // FIXME the above copy could be merged with that pass
-//         for (int j=0; j<otherCopy.outerSize(); ++j)
-//           for (typename _OtherCopy::InnerIterator it(otherCopy, j); it; ++it)
-//             ++m_outerIndex[it.index()];
-//
-//         // prefix sum
-//         int count = 0;
-//         VectorXi positions(outerSize());
-//         for (int j=0; j<outerSize(); ++j)
-//         {
-//           int tmp = m_outerIndex[j];
-//           m_outerIndex[j] = count;
-//           positions[j] = count;
-//           count += tmp;
-//         }
-//         m_outerIndex[outerSize()] = count;
-//         // alloc
-//         m_data.resize(count);
-//         // pass 2
-//         for (int j=0; j<otherCopy.outerSize(); ++j)
-//           for (typename _OtherCopy::InnerIterator it(otherCopy, j); it; ++it)
-//           {
-//             int pos = positions[it.index()]++;
-//             m_data.index(pos) = j;
-//             m_data.value(pos) = it.value();
-//           }
-//
-//         return *this;
-//       }
-//       else
-//       {
-//         // there is no special optimization
-//         return SparseMatrixBase<SparseMatrix>::operator=(other.derived());
-//       }
-//     }
-
-    friend std::ostream & operator << (std::ostream & s, const SparseVector& m)
-    {
-      for (Index i=0; i<m.nonZeros(); ++i)
-        s << "(" << m.m_data.value(i) << "," << m.m_data.index(i) << ") ";
-      s << std::endl;
-      return s;
-    }
-
-    // this specialized version does not seems to be faster
-//     Scalar dot(const SparseVector& other) const
-//     {
-//       int i=0, j=0;
-//       Scalar res = 0;
-//       asm("#begindot");
-//       while (i<nonZeros() && j<other.nonZeros())
-//       {
-//         if (m_data.index(i)==other.m_data.index(j))
-//         {
-//           res += m_data.value(i) * internal::conj(other.m_data.value(j));
-//           ++i; ++j;
-//         }
-//         else if (m_data.index(i)<other.m_data.index(j))
-//           ++i;
-//         else
-//           ++j;
-//       }
-//       asm("#enddot");
-//       return res;
-//     }
-
-    /** Destructor */
-    inline ~SparseVector() {}
-
-    /** Overloaded for performance */
-    Scalar sum() const;
-
-  public:
-
-    /** \deprecated use setZero() and reserve() */
-    EIGEN_DEPRECATED void startFill(Index reserve)
-    {
-      setZero();
-      m_data.reserve(reserve);
-    }
-
-    /** \deprecated use insertBack(Index,Index) */
-    EIGEN_DEPRECATED Scalar& fill(Index r, Index c)
-    {
-      eigen_assert(r==0 || c==0);
-      return fill(IsColVector ? r : c);
-    }
-
-    /** \deprecated use insertBack(Index) */
-    EIGEN_DEPRECATED Scalar& fill(Index i)
-    {
-      m_data.append(0, i);
-      return m_data.value(m_data.size()-1);
-    }
-
-    /** \deprecated use insert(Index,Index) */
-    EIGEN_DEPRECATED Scalar& fillrand(Index r, Index c)
-    {
-      eigen_assert(r==0 || c==0);
-      return fillrand(IsColVector ? r : c);
-    }
-
-    /** \deprecated use insert(Index) */
-    EIGEN_DEPRECATED Scalar& fillrand(Index i)
-    {
-      return insert(i);
-    }
-
-    /** \deprecated use finalize() */
-    EIGEN_DEPRECATED void endFill() {}
-    
-#   ifdef EIGEN_SPARSEVECTOR_PLUGIN
-#     include EIGEN_SPARSEVECTOR_PLUGIN
-#   endif
-};
-
-template<typename Scalar, int _Options, typename _Index>
-class SparseVector<Scalar,_Options,_Index>::InnerIterator
-{
-  public:
-    InnerIterator(const SparseVector& vec, Index outer=0)
-      : m_data(vec.m_data), m_id(0), m_end(static_cast<Index>(m_data.size()))
-    {
-      eigen_assert(outer==0);
-    }
-
-    InnerIterator(const CompressedStorage<Scalar,Index>& data)
-      : m_data(data), m_id(0), m_end(static_cast<Index>(m_data.size()))
-    {}
-
-    template<unsigned int Added, unsigned int Removed>
-    InnerIterator(const Flagged<SparseVector,Added,Removed>& vec, Index )
-      : m_data(vec._expression().m_data), m_id(0), m_end(m_data.size())
-    {}
-
-    inline InnerIterator& operator++() { m_id++; return *this; }
-
-    inline Scalar value() const { return m_data.value(m_id); }
-    inline Scalar& valueRef() { return const_cast<Scalar&>(m_data.value(m_id)); }
-
-    inline Index index() const { return m_data.index(m_id); }
-    inline Index row() const { return IsColVector ? index() : 0; }
-    inline Index col() const { return IsColVector ? 0 : index(); }
-
-    inline operator bool() const { return (m_id < m_end); }
-
-  protected:
-    const CompressedStorage<Scalar,Index>& m_data;
-    Index m_id;
-    const Index m_end;
-};
-
-#endif // EIGEN_SPARSEVECTOR_H
diff --git a/extern/Eigen3/Eigen/src/Sparse/SparseView.h b/extern/Eigen3/Eigen/src/Sparse/SparseView.h
deleted file mode 100644
index 24306561098..00000000000
--- a/extern/Eigen3/Eigen/src/Sparse/SparseView.h
+++ /dev/null
@@ -1,109 +0,0 @@
-// This file is part of Eigen, a lightweight C++ template library
-// for linear algebra.
-//
-// Copyright (C) 2010 Gael Guennebaud <gael.guennebaud@inria.fr>
-// Copyright (C) 2010 Daniel Lowengrub <lowdanie@gmail.com>
-//
-// Eigen is free software; you can redistribute it and/or
-// modify it under the terms of the GNU Lesser General Public
-// License as published by the Free Software Foundation; either
-// version 3 of the License, or (at your option) any later version.
-//
-// Alternatively, you can redistribute it and/or
-// modify it under the terms of the GNU General Public License as
-// published by the Free Software Foundation; either version 2 of
-// the License, or (at your option) any later version.
-//
-// Eigen is distributed in the hope that it will be useful, but WITHOUT ANY
-// WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS
-// FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License or the
-// GNU General Public License for more details.
-//
-// You should have received a copy of the GNU Lesser General Public
-// License and a copy of the GNU General Public License along with
-// Eigen. If not, see <http://www.gnu.org/licenses/>.
-
-#ifndef EIGEN_SPARSEVIEW_H
-#define EIGEN_SPARSEVIEW_H
-
-namespace internal {
-
-template<typename MatrixType>
-struct traits<SparseView<MatrixType> > : traits<MatrixType>
-{
-  typedef int Index;
-  typedef Sparse StorageKind;
-  enum {
-    Flags = int(traits<MatrixType>::Flags) & (RowMajorBit)
-  };
-};
-
-} // end namespace internal
-
-template<typename MatrixType>
-class SparseView : public SparseMatrixBase<SparseView<MatrixType> >
-{
-  typedef typename MatrixType::Nested MatrixTypeNested;
-  typedef typename internal::remove_all<MatrixTypeNested>::type _MatrixTypeNested;
-public:
-  EIGEN_SPARSE_PUBLIC_INTERFACE(SparseView)
-
-  SparseView(const MatrixType& mat, const Scalar& m_reference = Scalar(0),
-             typename NumTraits<Scalar>::Real m_epsilon = NumTraits<Scalar>::dummy_precision()) : 
-    m_matrix(mat), m_reference(m_reference), m_epsilon(m_epsilon) {}
-
-  class InnerIterator;
-
-  inline Index rows() const { return m_matrix.rows(); }
-  inline Index cols() const { return m_matrix.cols(); }
-
-  inline Index innerSize() const { return m_matrix.innerSize(); }
-  inline Index outerSize() const { return m_matrix.outerSize(); }
-
-protected:
-  const MatrixTypeNested m_matrix;
-  Scalar m_reference;
-  typename NumTraits<Scalar>::Real m_epsilon;
-};
-
-template<typename MatrixType>
-class SparseView<MatrixType>::InnerIterator : public _MatrixTypeNested::InnerIterator
-{
-public:
-  typedef typename _MatrixTypeNested::InnerIterator IterBase;
-  InnerIterator(const SparseView& view, Index outer) :
-  IterBase(view.m_matrix, outer), m_view(view)
-  {
-    incrementToNonZero();
-  }
-
-  EIGEN_STRONG_INLINE InnerIterator& operator++()
-  {
-    IterBase::operator++();
-    incrementToNonZero();
-    return *this;
-  }
-
-  using IterBase::value;
-
-protected:
-  const SparseView& m_view;
-
-private:
-  void incrementToNonZero()
-  {
-    while(internal::isMuchSmallerThan(value(), m_view.m_reference, m_view.m_epsilon) && (bool(*this)))
-      {
-        IterBase::operator++();
-      }
-  }
-};
-
-template<typename Derived>
-const SparseView<Derived> MatrixBase<Derived>::sparseView(const Scalar& m_reference,
-                                                          typename NumTraits<Scalar>::Real m_epsilon) const
-{
-  return SparseView<Derived>(derived(), m_reference, m_epsilon);
-}
-
-#endif
diff --git a/extern/Eigen3/Eigen/src/Sparse/TriangularSolver.h b/extern/Eigen3/Eigen/src/Sparse/TriangularSolver.h
deleted file mode 100644
index 62bb8bb44c9..00000000000
--- a/extern/Eigen3/Eigen/src/Sparse/TriangularSolver.h
+++ /dev/null
@@ -1,339 +0,0 @@
-// This file is part of Eigen, a lightweight C++ template library
-// for linear algebra.
-//
-// Copyright (C) 2008 Gael Guennebaud <gael.guennebaud@inria.fr>
-//
-// Eigen is free software; you can redistribute it and/or
-// modify it under the terms of the GNU Lesser General Public
-// License as published by the Free Software Foundation; either
-// version 3 of the License, or (at your option) any later version.
-//
-// Alternatively, you can redistribute it and/or
-// modify it under the terms of the GNU General Public License as
-// published by the Free Software Foundation; either version 2 of
-// the License, or (at your option) any later version.
-//
-// Eigen is distributed in the hope that it will be useful, but WITHOUT ANY
-// WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS
-// FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License or the
-// GNU General Public License for more details.
-//
-// You should have received a copy of the GNU Lesser General Public
-// License and a copy of the GNU General Public License along with
-// Eigen. If not, see <http://www.gnu.org/licenses/>.
-
-#ifndef EIGEN_SPARSETRIANGULARSOLVER_H
-#define EIGEN_SPARSETRIANGULARSOLVER_H
-
-namespace internal {
-
-template<typename Lhs, typename Rhs, int Mode,
-  int UpLo = (Mode & Lower)
-           ? Lower
-           : (Mode & Upper)
-           ? Upper
-           : -1,
-  int StorageOrder = int(traits<Lhs>::Flags) & RowMajorBit>
-struct sparse_solve_triangular_selector;
-
-// forward substitution, row-major
-template<typename Lhs, typename Rhs, int Mode>
-struct sparse_solve_triangular_selector<Lhs,Rhs,Mode,Lower,RowMajor>
-{
-  typedef typename Rhs::Scalar Scalar;
-  static void run(const Lhs& lhs, Rhs& other)
-  {
-    for(int col=0 ; col<other.cols() ; ++col)
-    {
-      for(int i=0; i<lhs.rows(); ++i)
-      {
-        Scalar tmp = other.coeff(i,col);
-        Scalar lastVal = 0;
-        int lastIndex = 0;
-        for(typename Lhs::InnerIterator it(lhs, i); it; ++it)
-        {
-          lastVal = it.value();
-          lastIndex = it.index();
-          if(lastIndex==i)
-            break;
-          tmp -= lastVal * other.coeff(lastIndex,col);
-        }
-        if (Mode & UnitDiag)
-          other.coeffRef(i,col) = tmp;
-        else
-        {
-          eigen_assert(lastIndex==i);
-          other.coeffRef(i,col) = tmp/lastVal;
-        }
-      }
-    }
-  }
-};
-
-// backward substitution, row-major
-template<typename Lhs, typename Rhs, int Mode>
-struct sparse_solve_triangular_selector<Lhs,Rhs,Mode,Upper,RowMajor>
-{
-  typedef typename Rhs::Scalar Scalar;
-  static void run(const Lhs& lhs, Rhs& other)
-  {
-    for(int col=0 ; col<other.cols() ; ++col)
-    {
-      for(int i=lhs.rows()-1 ; i>=0 ; --i)
-      {
-        Scalar tmp = other.coeff(i,col);
-        typename Lhs::InnerIterator it(lhs, i);
-        if (it && it.index() == i)
-          ++it;
-        for(; it; ++it)
-        {
-          tmp -= it.value() * other.coeff(it.index(),col);
-        }
-
-        if (Mode & UnitDiag)
-          other.coeffRef(i,col) = tmp;
-        else
-        {
-          typename Lhs::InnerIterator it(lhs, i);
-          eigen_assert(it && it.index() == i);
-          other.coeffRef(i,col) = tmp/it.value();
-        }
-      }
-    }
-  }
-};
-
-// forward substitution, col-major
-template<typename Lhs, typename Rhs, int Mode>
-struct sparse_solve_triangular_selector<Lhs,Rhs,Mode,Lower,ColMajor>
-{
-  typedef typename Rhs::Scalar Scalar;
-  static void run(const Lhs& lhs, Rhs& other)
-  {
-    for(int col=0 ; col<other.cols() ; ++col)
-    {
-      for(int i=0; i<lhs.cols(); ++i)
-      {
-        Scalar& tmp = other.coeffRef(i,col);
-        if (tmp!=Scalar(0)) // optimization when other is actually sparse
-        {
-          typename Lhs::InnerIterator it(lhs, i);
-          if(!(Mode & UnitDiag))
-          {
-            eigen_assert(it.index()==i);
-            tmp /= it.value();
-          }
-          if (it && it.index()==i)
-            ++it;
-          for(; it; ++it)
-            other.coeffRef(it.index(), col) -= tmp * it.value();
-        }
-      }
-    }
-  }
-};
-
-// backward substitution, col-major
-template<typename Lhs, typename Rhs, int Mode>
-struct sparse_solve_triangular_selector<Lhs,Rhs,Mode,Upper,ColMajor>
-{
-  typedef typename Rhs::Scalar Scalar;
-  static void run(const Lhs& lhs, Rhs& other)
-  {
-    for(int col=0 ; col<other.cols() ; ++col)
-    {
-      for(int i=lhs.cols()-1; i>=0; --i)
-      {
-        Scalar& tmp = other.coeffRef(i,col);
-        if (tmp!=Scalar(0)) // optimization when other is actually sparse
-        {
-          if(!(Mode & UnitDiag))
-          {
-            // FIXME lhs.coeff(i,i) might not be always efficient while it must simply be the
-            // last element of the column !
-            other.coeffRef(i,col) /= lhs.innerVector(i).lastCoeff();
-          }
-          typename Lhs::InnerIterator it(lhs, i);
-          for(; it && it.index()<i; ++it)
-            other.coeffRef(it.index(), col) -= tmp * it.value();
-        }
-      }
-    }
-  }
-};
-
-} // end namespace internal
-
-template<typename ExpressionType,int Mode>
-template<typename OtherDerived>
-void SparseTriangularView<ExpressionType,Mode>::solveInPlace(MatrixBase<OtherDerived>& other) const
-{
-  eigen_assert(m_matrix.cols() == m_matrix.rows());
-  eigen_assert(m_matrix.cols() == other.rows());
-  eigen_assert(!(Mode & ZeroDiag));
-  eigen_assert((Mode & (Upper|Lower)) != 0);
-
-  enum { copy = internal::traits<OtherDerived>::Flags & RowMajorBit };
-
-  typedef typename internal::conditional<copy,
-    typename internal::plain_matrix_type_column_major<OtherDerived>::type, OtherDerived&>::type OtherCopy;
-  OtherCopy otherCopy(other.derived());
-
-  internal::sparse_solve_triangular_selector<ExpressionType, typename internal::remove_reference<OtherCopy>::type, Mode>::run(m_matrix, otherCopy);
-
-  if (copy)
-    other = otherCopy;
-}
-
-template<typename ExpressionType,int Mode>
-template<typename OtherDerived>
-typename internal::plain_matrix_type_column_major<OtherDerived>::type
-SparseTriangularView<ExpressionType,Mode>::solve(const MatrixBase<OtherDerived>& other) const
-{
-  typename internal::plain_matrix_type_column_major<OtherDerived>::type res(other);
-  solveInPlace(res);
-  return res;
-}
-
-// pure sparse path
-
-namespace internal {
-
-template<typename Lhs, typename Rhs, int Mode,
-  int UpLo = (Mode & Lower)
-           ? Lower
-           : (Mode & Upper)
-           ? Upper
-           : -1,
-  int StorageOrder = int(Lhs::Flags) & (RowMajorBit)>
-struct sparse_solve_triangular_sparse_selector;
-
-// forward substitution, col-major
-template<typename Lhs, typename Rhs, int Mode, int UpLo>
-struct sparse_solve_triangular_sparse_selector<Lhs,Rhs,Mode,UpLo,ColMajor>
-{
-  typedef typename Rhs::Scalar Scalar;
-  typedef typename promote_index_type<typename traits<Lhs>::Index,
-                                         typename traits<Rhs>::Index>::type Index;
-  static void run(const Lhs& lhs, Rhs& other)
-  {
-    const bool IsLower = (UpLo==Lower);
-    AmbiVector<Scalar,Index> tempVector(other.rows()*2);
-    tempVector.setBounds(0,other.rows());
-
-    Rhs res(other.rows(), other.cols());
-    res.reserve(other.nonZeros());
-
-    for(int col=0 ; col<other.cols() ; ++col)
-    {
-      // FIXME estimate number of non zeros
-      tempVector.init(.99/*float(other.col(col).nonZeros())/float(other.rows())*/);
-      tempVector.setZero();
-      tempVector.restart();
-      for (typename Rhs::InnerIterator rhsIt(other, col); rhsIt; ++rhsIt)
-      {
-        tempVector.coeffRef(rhsIt.index()) = rhsIt.value();
-      }
-
-      for(int i=IsLower?0:lhs.cols()-1;
-          IsLower?i<lhs.cols():i>=0;
-          i+=IsLower?1:-1)
-      {
-        tempVector.restart();
-        Scalar& ci = tempVector.coeffRef(i);
-        if (ci!=Scalar(0))
-        {
-          // find
-          typename Lhs::InnerIterator it(lhs, i);
-          if(!(Mode & UnitDiag))
-          {
-            if (IsLower)
-            {
-              eigen_assert(it.index()==i);
-              ci /= it.value();
-            }
-            else
-              ci /= lhs.coeff(i,i);
-          }
-          tempVector.restart();
-          if (IsLower)
-          {
-            if (it.index()==i)
-              ++it;
-            for(; it; ++it)
-              tempVector.coeffRef(it.index()) -= ci * it.value();
-          }
-          else
-          {
-            for(; it && it.index()<i; ++it)
-              tempVector.coeffRef(it.index()) -= ci * it.value();
-          }
-        }
-      }
-
-
-      int count = 0;
-      // FIXME compute a reference value to filter zeros
-      for (typename AmbiVector<Scalar,Index>::Iterator it(tempVector/*,1e-12*/); it; ++it)
-      {
-        ++ count;
-//         std::cerr << "fill " << it.index() << ", " << col << "\n";
-//         std::cout << it.value() << "  ";
-        // FIXME use insertBack
-        res.insert(it.index(), col) = it.value();
-      }
-//       std::cout << "tempVector.nonZeros() == " << int(count) << " / " << (other.rows()) << "\n";
-    }
-    res.finalize();
-    other = res.markAsRValue();
-  }
-};
-
-} // end namespace internal
-
-template<typename ExpressionType,int Mode>
-template<typename OtherDerived>
-void SparseTriangularView<ExpressionType,Mode>::solveInPlace(SparseMatrixBase<OtherDerived>& other) const
-{
-  eigen_assert(m_matrix.cols() == m_matrix.rows());
-  eigen_assert(m_matrix.cols() == other.rows());
-  eigen_assert(!(Mode & ZeroDiag));
-  eigen_assert((Mode & (Upper|Lower)) != 0);
-
-//   enum { copy = internal::traits<OtherDerived>::Flags & RowMajorBit };
-
-//   typedef typename internal::conditional<copy,
-//     typename internal::plain_matrix_type_column_major<OtherDerived>::type, OtherDerived&>::type OtherCopy;
-//   OtherCopy otherCopy(other.derived());
-
-  internal::sparse_solve_triangular_sparse_selector<ExpressionType, OtherDerived, Mode>::run(m_matrix, other.derived());
-
-//   if (copy)
-//     other = otherCopy;
-}
-
-#ifdef EIGEN2_SUPPORT
-
-// deprecated stuff:
-
-/** \deprecated */
-template<typename Derived>
-template<typename OtherDerived>
-void SparseMatrixBase<Derived>::solveTriangularInPlace(MatrixBase<OtherDerived>& other) const
-{
-  this->template triangular<Flags&(Upper|Lower)>().solveInPlace(other);
-}
-
-/** \deprecated */
-template<typename Derived>
-template<typename OtherDerived>
-typename internal::plain_matrix_type_column_major<OtherDerived>::type
-SparseMatrixBase<Derived>::solveTriangular(const MatrixBase<OtherDerived>& other) const
-{
-  typename internal::plain_matrix_type_column_major<OtherDerived>::type res(other);
-  derived().solveTriangularInPlace(res);
-  return res;
-}
-#endif // EIGEN2_SUPPORT
-
-#endif // EIGEN_SPARSETRIANGULARSOLVER_H
diff --git a/extern/Eigen3/Eigen/src/misc/Image.h b/extern/Eigen3/Eigen/src/misc/Image.h
index 19b3e08cbfd..7643a08368b 100644
--- a/extern/Eigen3/Eigen/src/misc/Image.h
+++ b/extern/Eigen3/Eigen/src/misc/Image.h
@@ -25,6 +25,8 @@
 #ifndef EIGEN_MISC_IMAGE_H
 #define EIGEN_MISC_IMAGE_H
 
+namespace Eigen { 
+
 namespace internal {
 
 /** \class image_retval_base
@@ -92,4 +94,6 @@ template<typename _DecompositionType> struct image_retval_base
   image_retval(const DecompositionType& dec, const MatrixType& originalMatrix) \
     : Base(dec, originalMatrix) {}
 
+} // end namespace Eigen
+
 #endif // EIGEN_MISC_IMAGE_H
diff --git a/extern/Eigen3/Eigen/src/misc/Kernel.h b/extern/Eigen3/Eigen/src/misc/Kernel.h
index 0115970e8eb..37bc392ef7e 100644
--- a/extern/Eigen3/Eigen/src/misc/Kernel.h
+++ b/extern/Eigen3/Eigen/src/misc/Kernel.h
@@ -25,6 +25,8 @@
 #ifndef EIGEN_MISC_KERNEL_H
 #define EIGEN_MISC_KERNEL_H
 
+namespace Eigen { 
+
 namespace internal {
 
 /** \class kernel_retval_base
@@ -89,4 +91,6 @@ template<typename _DecompositionType> struct kernel_retval_base
   using Base::cols; \
   kernel_retval(const DecompositionType& dec) : Base(dec) {}
 
+} // end namespace Eigen
+
 #endif // EIGEN_MISC_KERNEL_H
diff --git a/extern/Eigen3/Eigen/src/misc/Solve.h b/extern/Eigen3/Eigen/src/misc/Solve.h
index b7cbcadb392..2afd078d41a 100644
--- a/extern/Eigen3/Eigen/src/misc/Solve.h
+++ b/extern/Eigen3/Eigen/src/misc/Solve.h
@@ -25,6 +25,8 @@
 #ifndef EIGEN_MISC_SOLVE_H
 #define EIGEN_MISC_SOLVE_H
 
+namespace Eigen { 
+
 namespace internal {
 
 /** \class solve_retval_base
@@ -66,7 +68,7 @@ template<typename _DecompositionType, typename Rhs> struct solve_retval_base
 
   protected:
     const DecompositionType& m_dec;
-    const typename Rhs::Nested m_rhs;
+    typename Rhs::Nested m_rhs;
 };
 
 } // end namespace internal
@@ -84,4 +86,6 @@ template<typename _DecompositionType, typename Rhs> struct solve_retval_base
   solve_retval(const DecompositionType& dec, const Rhs& rhs) \
     : Base(dec, rhs) {}
 
+} // end namespace Eigen
+
 #endif // EIGEN_MISC_SOLVE_H
diff --git a/extern/Eigen3/Eigen/src/plugins/ArrayCwiseBinaryOps.h b/extern/Eigen3/Eigen/src/plugins/ArrayCwiseBinaryOps.h
index 7d509e78f3a..5b979ebf89d 100644
--- a/extern/Eigen3/Eigen/src/plugins/ArrayCwiseBinaryOps.h
+++ b/extern/Eigen3/Eigen/src/plugins/ArrayCwiseBinaryOps.h
@@ -29,6 +29,16 @@ operator/(const EIGEN_CURRENT_STORAGE_BASE_CLASS<OtherDerived> &other) const
   */
 EIGEN_MAKE_CWISE_BINARY_OP(min,internal::scalar_min_op)
 
+/** \returns an expression of the coefficient-wise min of \c *this and scalar \a other
+  *
+  * \sa max()
+  */
+EIGEN_STRONG_INLINE const CwiseBinaryOp<internal::scalar_min_op<Scalar>, const Derived, const ConstantReturnType>
+(min)(const Scalar &other) const
+{
+  return (min)(Derived::PlainObject::Constant(rows(), cols(), other));
+}
+
 /** \returns an expression of the coefficient-wise max of \c *this and \a other
   *
   * Example: \include Cwise_max.cpp
@@ -38,6 +48,16 @@ EIGEN_MAKE_CWISE_BINARY_OP(min,internal::scalar_min_op)
   */
 EIGEN_MAKE_CWISE_BINARY_OP(max,internal::scalar_max_op)
 
+/** \returns an expression of the coefficient-wise max of \c *this and scalar \a other
+  *
+  * \sa min()
+  */
+EIGEN_STRONG_INLINE const CwiseBinaryOp<internal::scalar_max_op<Scalar>, const Derived, const ConstantReturnType>
+(max)(const Scalar &other) const
+{
+  return (max)(Derived::PlainObject::Constant(rows(), cols(), other));
+}
+
 /** \returns an expression of the coefficient-wise \< operator of *this and \a other
   *
   * Example: \include Cwise_less.cpp
@@ -141,3 +161,39 @@ operator-(const Scalar& scalar,const EIGEN_CURRENT_STORAGE_BASE_CLASS<Derived>&
 {
   return (-other) + scalar;
 }
+
+/** \returns an expression of the coefficient-wise && operator of *this and \a other
+  *
+  * \warning this operator is for expression of bool only.
+  *
+  * Example: \include Cwise_boolean_and.cpp
+  * Output: \verbinclude Cwise_boolean_and.out
+  *
+  * \sa operator||(), select()
+  */
+template<typename OtherDerived>
+inline const CwiseBinaryOp<internal::scalar_boolean_and_op, const Derived, const OtherDerived>
+operator&&(const EIGEN_CURRENT_STORAGE_BASE_CLASS<OtherDerived> &other) const
+{
+  EIGEN_STATIC_ASSERT((internal::is_same<bool,Scalar>::value && internal::is_same<bool,typename OtherDerived::Scalar>::value),
+                      THIS_METHOD_IS_ONLY_FOR_EXPRESSIONS_OF_BOOL);
+  return CwiseBinaryOp<internal::scalar_boolean_and_op, const Derived, const OtherDerived>(derived(),other.derived());
+}
+
+/** \returns an expression of the coefficient-wise || operator of *this and \a other
+  *
+  * \warning this operator is for expression of bool only.
+  *
+  * Example: \include Cwise_boolean_or.cpp
+  * Output: \verbinclude Cwise_boolean_or.out
+  *
+  * \sa operator&&(), select()
+  */
+template<typename OtherDerived>
+inline const CwiseBinaryOp<internal::scalar_boolean_or_op, const Derived, const OtherDerived>
+operator||(const EIGEN_CURRENT_STORAGE_BASE_CLASS<OtherDerived> &other) const
+{
+  EIGEN_STATIC_ASSERT((internal::is_same<bool,Scalar>::value && internal::is_same<bool,typename OtherDerived::Scalar>::value),
+                      THIS_METHOD_IS_ONLY_FOR_EXPRESSIONS_OF_BOOL);
+  return CwiseBinaryOp<internal::scalar_boolean_or_op, const Derived, const OtherDerived>(derived(),other.derived());
+}
diff --git a/extern/Eigen3/Eigen/src/plugins/MatrixCwiseBinaryOps.h b/extern/Eigen3/Eigen/src/plugins/MatrixCwiseBinaryOps.h
index 35183f91f80..566f4c1f4b3 100644
--- a/extern/Eigen3/Eigen/src/plugins/MatrixCwiseBinaryOps.h
+++ b/extern/Eigen3/Eigen/src/plugins/MatrixCwiseBinaryOps.h
@@ -91,6 +91,16 @@ cwiseMin(const EIGEN_CURRENT_STORAGE_BASE_CLASS<OtherDerived> &other) const
   return CwiseBinaryOp<internal::scalar_min_op<Scalar>, const Derived, const OtherDerived>(derived(), other.derived());
 }
 
+/** \returns an expression of the coefficient-wise min of *this and scalar \a other
+  *
+  * \sa class CwiseBinaryOp, min()
+  */
+EIGEN_STRONG_INLINE const CwiseBinaryOp<internal::scalar_min_op<Scalar>, const Derived, const ConstantReturnType>
+cwiseMin(const Scalar &other) const
+{
+  return cwiseMin(Derived::PlainObject::Constant(rows(), cols(), other));
+}
+
 /** \returns an expression of the coefficient-wise max of *this and \a other
   *
   * Example: \include MatrixBase_cwiseMax.cpp
@@ -105,6 +115,17 @@ cwiseMax(const EIGEN_CURRENT_STORAGE_BASE_CLASS<OtherDerived> &other) const
   return CwiseBinaryOp<internal::scalar_max_op<Scalar>, const Derived, const OtherDerived>(derived(), other.derived());
 }
 
+/** \returns an expression of the coefficient-wise max of *this and scalar \a other
+  *
+  * \sa class CwiseBinaryOp, min()
+  */
+EIGEN_STRONG_INLINE const CwiseBinaryOp<internal::scalar_max_op<Scalar>, const Derived, const ConstantReturnType>
+cwiseMax(const Scalar &other) const
+{
+  return cwiseMax(Derived::PlainObject::Constant(rows(), cols(), other));
+}
+
+
 /** \returns an expression of the coefficient-wise quotient of *this and \a other
   *
   * Example: \include MatrixBase_cwiseQuotient.cpp