IT++ Logo
Namespaces | Functions
ls_solve.cpp File Reference

Implementation of functions for solving linear equation systems. More...

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

Go to the source code of this file.

Namespaces

namespace  itpp
 itpp namespace
 

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 matrices.
 
void itpp::forward_substitution (const mat &L, int p, const vec &b, vec &x)
 Forward substitution of band matrices.
 
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.
 

Detailed Description

Implementation of functions for solving linear equation systems.

Author
Tony Ottosson

Copyright (C) 1995-2010 (see AUTHORS file for a list of contributors)

This file is part of IT++ - a C++ library of mathematical, signal processing, speech processing, and communications classes and functions.

IT++ 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 3 of the License, or (at your option) any later version.

IT++ 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 IT++. If not, see http://www.gnu.org/licenses/.


Definition in file ls_solve.cpp.

SourceForge Logo

Generated on Sat Jul 6 2013 10:54:26 for IT++ by Doxygen 1.8.2