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-// Ceres Solver - A fast non-linear least squares minimizer
-// Copyright 2013 Google Inc. All rights reserved.
-// http://code.google.com/p/ceres-solver/
-//
-// Redistribution and use in source and binary forms, with or without
-// modification, are permitted provided that the following conditions are met:
-//
-// * Redistributions of source code must retain the above copyright notice,
-// this list of conditions and the following disclaimer.
-// * Redistributions in binary form must reproduce the above copyright notice,
-// this list of conditions and the following disclaimer in the documentation
-// and/or other materials provided with the distribution.
-// * Neither the name of Google Inc. nor the names of its contributors may be
-// used to endorse or promote products derived from this software without
-// specific prior written permission.
-//
-// THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS"
-// AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
-// IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
-// ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR CONTRIBUTORS BE
-// LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR
-// CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF
-// SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS
-// INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN
-// CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE)
-// ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
-// POSSIBILITY OF SUCH DAMAGE.
-//
-// Author: sameeragarwal@google.com (Sameer Agarwal)
-
-#ifndef CERES_INTERNAL_INCOMPLETE_LQ_FACTORIZATION_H_
-#define CERES_INTERNAL_INCOMPLETE_LQ_FACTORIZATION_H_
-
-#include <vector>
-#include <utility>
-#include "ceres/compressed_row_sparse_matrix.h"
-
-namespace ceres {
-namespace internal {
-
-// Incomplete LQ factorization as described in
-//
-// Preconditioning techniques for indefinite and nonsymmetric linear
-// systems. Yousef Saad, Preprint RIACS-ILQ-TR, RIACS, NASA Ames
-// Research Center, Moffett Field, CA, 1987.
-//
-// An incomplete LQ factorization of a matrix A is a decomposition
-//
-// A = LQ + E
-//
-// Where L is a lower triangular matrix, and Q is a near orthonormal
-// matrix. The extent of orthonormality depends on E. E is the "drop"
-// matrix. Each row of L has a maximum of l_level_of_fill entries, and
-// all non-zero entries are within l_drop_tolerance of the largest
-// entry. Each row of Q has a maximum of q_level_of_fill entries and
-// all non-zero entries are within q_drop_tolerance of the largest
-// entry.
-//
-// E is the error of the incomplete factorization.
-//
-// The purpose of incomplete factorizations is preconditioning and
-// there one only needs the L matrix, therefore this function just
-// returns L.
-//
-// Caller owns the result.
-CompressedRowSparseMatrix* IncompleteLQFactorization(
- const CompressedRowSparseMatrix& matrix,
- const int l_level_of_fill,
- const double l_drop_tolerance,
- const int q_level_of_fill,
- const double q_drop_tolerance);
-
-// In the row vector dense_row(0:num_cols), drop values smaller than
-// the max_value * drop_tolerance. Of the remaining non-zero values,
-// choose at most level_of_fill values and then add the resulting row
-// vector to matrix.
-//
-// scratch is used to prevent allocations inside this function. It is
-// assumed that scratch is of size matrix->num_cols().
-void DropEntriesAndAddRow(const Vector& dense_row,
- const int num_entries,
- const int level_of_fill,
- const double drop_tolerance,
- vector<pair<int, double> >* scratch,
- CompressedRowSparseMatrix* matrix);
-
-} // namespace internal
-} // namespace ceres
-
-#endif // CERES_INTERNAL_INCOMPLETE_LQ_FACTORIZATION_H_