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/*
* GXML/Graphite: Geometry and Graphics Programming Library + Utilities
* Copyright (C) 2000 Bruno Levy
*
* This program is free software; 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.
*
* This program 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 General Public License for more details.
*
* You should have received a copy of the GNU General Public License
* along with this program; if not, write to the Free Software
* Foundation, Inc., 675 Mass Ave, Cambridge, MA 02139, USA.
*
* If you modify this software, you should include a notice giving the
* name of the person performing the modification, the date of modification,
* and the reason for such modification.
*
* Contact: Bruno Levy
*
* levy@loria.fr
*
* ISA Project
* LORIA, INRIA Lorraine,
* Campus Scientifique, BP 239
* 54506 VANDOEUVRE LES NANCY CEDEX
* FRANCE
*
* Note that the GNU General Public License does not permit incorporating
* the Software into proprietary programs.
*/
#ifndef __MATRIX_UTIL__
#define __MATRIX_UTIL__
# include "../system/FreestyleConfig.h"
namespace OGF {
namespace MatrixUtil {
/**
* computes the eigen values and eigen vectors
* of a semi definite symmetric matrix
*
* @param matrix is stored in column symmetric storage, i.e.
* matrix = { m11, m12, m22, m13, m23, m33, m14, m24, m34, m44 ... }
* size = n(n+1)/2
*
* @param eigen_vectors (return) = { v1, v2, v3, ..., vn }
* where vk = vk0, vk1, ..., vkn
* size = n^2, must be allocated by caller
*
* @param eigen_values (return) are in decreasing order
* size = n, must be allocated by caller
*/
LIB_GEOMETRY_EXPORT
void semi_definite_symmetric_eigen(
const double *mat, int n, double *eigen_vec, double *eigen_val
) ;
}
}
#endif
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