IT++ Logo

ls_solve.cpp File Reference


Detailed Description

Implementation of functions for solving linear equation systems.

Author:
Tony Ottosson
-------------------------------------------------------------------------

IT++ - C++ library of mathematical, signal processing, speech processing, and communications classes and functions

Copyright (C) 1995-2007 (see AUTHORS file for a list of contributors)

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., 51 Franklin St, Fifth Floor, Boston, MA 02110-1301 USA

-------------------------------------------------------------------------

Definition in file ls_solve.cpp.

#include <itpp/config.h>
#include <itpp/base/algebra/ls_solve.h>

Go to the source code of this file.

Namespaces

namespace  itpp

Functions

bool itpp::ls_solve_chol (const mat &A, const vec &b, vec &x)
 Solve linear equation system by Cholesky factorisation.
bool itpp::ls_solve_chol (const mat &A, const mat &B, mat &X)
 Solve linear equation system by Cholesky factorisation.
bool itpp::ls_solve_chol (const cmat &A, const cvec &b, cvec &x)
 Solve linear equation system by Cholesky factorisation.
bool itpp::ls_solve_chol (const cmat &A, const cmat &B, cmat &X)
 Solve linear equation system by Cholesky factorisation.
vec itpp::ls_solve_chol (const mat &A, const vec &b)
 Solve linear equation system by Cholesky factorisation.
mat itpp::ls_solve_chol (const mat &A, const mat &B)
 Solve linear equation system by Cholesky factorisation.
cvec itpp::ls_solve_chol (const cmat &A, const cvec &b)
 Solve linear equation system by Cholesky factorisation.
cmat itpp::ls_solve_chol (const cmat &A, const cmat &B)
 Solve linear equation system by Cholesky factorisation.
bool itpp::ls_solve (const mat &A, const vec &b, vec &x)
 Solve linear equation system by LU factorisation.
bool itpp::ls_solve (const mat &A, const mat &B, mat &X)
 Solve multiple linear equations by LU factorisation.
bool itpp::ls_solve (const cmat &A, const cvec &b, cvec &x)
 Solve linear equation system by LU factorisation.
bool itpp::ls_solve (const cmat &A, const cmat &B, cmat &X)
 Solve multiple linear equations by LU factorisation.
vec itpp::ls_solve (const mat &A, const vec &b)
 Solve linear equation system by LU factorisation.
mat itpp::ls_solve (const mat &A, const mat &B)
 Solve multiple linear equations by LU factorisation.
cvec itpp::ls_solve (const cmat &A, const cvec &b)
 Solve linear equation system by LU factorisation.
cmat itpp::ls_solve (const cmat &A, const cmat &B)
 Solve multiple linear equations by LU factorisation.
bool itpp::ls_solve_od (const mat &A, const vec &b, vec &x)
 Solves overdetermined linear equation systems.
bool itpp::ls_solve_od (const mat &A, const mat &B, mat &X)
 Solves overdetermined linear equation systems.
bool itpp::ls_solve_od (const cmat &A, const cvec &b, cvec &x)
 Solves overdetermined linear equation systems.
bool itpp::ls_solve_od (const cmat &A, const cmat &B, cmat &X)
 Solves overdetermined linear equation systems.
vec itpp::ls_solve_od (const mat &A, const vec &b)
 Solves overdetermined linear equation systems.
mat itpp::ls_solve_od (const mat &A, const mat &B)
 Solves overdetermined linear equation systems.
cvec itpp::ls_solve_od (const cmat &A, const cvec &b)
 Solves overdetermined linear equation systems.
cmat itpp::ls_solve_od (const cmat &A, const cmat &B)
 Solves overdetermined linear equation systems.
bool itpp::ls_solve_ud (const mat &A, const vec &b, vec &x)
 Solves underdetermined linear equation systems.
bool itpp::ls_solve_ud (const mat &A, const mat &B, mat &X)
 Solves underdetermined linear equation systems.
bool itpp::ls_solve_ud (const cmat &A, const cvec &b, cvec &x)
 Solves underdetermined linear equation systems.
bool itpp::ls_solve_ud (const cmat &A, const cmat &B, cmat &X)
 Solves underdetermined linear equation systems.
vec itpp::ls_solve_ud (const mat &A, const vec &b)
 Solves overdetermined linear equation systems.
mat itpp::ls_solve_ud (const mat &A, const mat &B)
 Solves underdetermined linear equation systems.
cvec itpp::ls_solve_ud (const cmat &A, const cvec &b)
 Solves overdetermined linear equation systems.
cmat itpp::ls_solve_ud (const cmat &A, const cmat &B)
 Solves underdetermined linear equation systems.
bool itpp::backslash (const mat &A, const vec &b, vec &x)
 A general linear equation system solver.
vec itpp::backslash (const mat &A, const vec &b)
 A general linear equation system solver.
bool itpp::backslash (const mat &A, const mat &B, mat &X)
 A general linear equation system solver.
mat itpp::backslash (const mat &A, const mat &B)
 A general linear equation system solver.
bool itpp::backslash (const cmat &A, const cvec &b, cvec &x)
 A general linear equation system solver.
cvec itpp::backslash (const cmat &A, const cvec &b)
 A general linear equation system solver.
bool itpp::backslash (const cmat &A, const cmat &B, cmat &X)
 A general linear equation system solver.
cmat itpp::backslash (const cmat &A, const cmat &B)
 A general linear equation system solver.
vec itpp::forward_substitution (const mat &L, const vec &b)
 Forward substitution of square matrix.
void itpp::forward_substitution (const mat &L, const vec &b, vec &x)
 Forward substitution of square matrix.
vec itpp::forward_substitution (const mat &L, int p, const vec &b)
 Forward substitution of band matricies.
void itpp::forward_substitution (const mat &L, int p, const vec &b, vec &x)
 Forward substitution of band matricies.
vec itpp::backward_substitution (const mat &U, const vec &b)
 Backward substitution of square matrix.
void itpp::backward_substitution (const mat &U, const vec &b, vec &x)
 Backward substitution of square matrix.
vec itpp::backward_substitution (const mat &U, int q, const vec &b)
 Backward substitution of band matrix.
void itpp::backward_substitution (const mat &U, int q, const vec &b, vec &x)
 Backward substitution of band matrix.

SourceForge Logo

Generated on Sun Sep 14 18:52:28 2008 for IT++ by Doxygen 1.5.6