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// Copyright (C) 2002 Zbigniew Leyk (zbigniew.leyk@anu.edu.au)
// and David E. Stewart (david.stewart@anu.edu.au)
// and Ronan Collobert (collober@iro.umontreal.ca)
//
//
// This file is part of Torch. Release II.
// [The Ultimate Machine Learning Library]
//
// Torch 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.
//
// Torch 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 Torch; if not, write to the Free Software
// Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA
#ifndef MX_SYM_EIG_INC
#define MX_SYM_EIG_INC
#include "Vec.h"
#include "Mat.h"
#include "mx_givens.h"
#include "mx_hessenberg.h"
namespace Torch {
/**
Routines for symmetric eigenvalue problems.
Based on the "Meschach Library", available at the
anonymous ftp site thrain.anu.edu.au in the directory
pub/meschach.
@author David E. Stewart (david.stewart@anu.edu.au)
@author Zbigniew Leyk (zbigniew.leyk@anu.edu.au)
@author Ronan Collobert (collober@iro.umontreal.ca)
*/
//@{
/** Finds eigenvalues of symmetric tridiagonal matrices.
The matrix is represented by a pair of vectors #a# (diag entries)
and #b# (sub-diag and super-diag entries).
Eigenvalues in #a# on return, and eigenvectors in #mat_q#, if this one
is not #NULL#.
*/
void mxTriEig(Vec * a, Vec * b, Mat * mat_q);
/** Computes eigenvalues of a dense symmetric matrix.
#mat_a# \emph{must} be symmetric on entry.
Eigenvalues stored in #out#.
#mat_q# contains orthogonal matrix of eigenvectors if not #NULL#.
*/
void mxSymEig(Mat * mat_a, Mat * mat_q, Vec * out);
//@}
}
#endif
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