ls_solve.cpp File Reference

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

#include <spuc.h>
#include <cassert>
#include <vector.h>
#include <matrix.h>
#include "specmat.h"
#include "lu.h"
#include "fastmath.h"
#include "ls_solve.h"

Include dependency graph for ls_solve.cpp:

Namespaces
namespace	SPUC
Functions
vec	SPUC::ls_solve (const mat &A, const vec &b)
	Solve linear equation system by LU factorisation.
mat	SPUC::ls_solve (const mat &A, const mat &b)
	Solve multiple linear equations by LU factorisation.
vec	SPUC::ls_solve_chol (const mat &A, const vec &b)
	Solve linear equation system by Cholesky factorisation.
vec	SPUC::ls_solve (const mat &L, const mat &U, const vec &b)
	Solve linear equation system, when LU-factorisation is given.
vec	SPUC::ls_solve_chol (const mat &A, int p, const vec &b)
	Solve linear (band) equation system by Cholesky factorisation.
vec	SPUC::ls_solve (const mat &L, int p, const mat &U, int q, const vec &b)
	Solve linear (band) equation system, when LU-factorisation is given.
vec	SPUC::ls_solve_od (const mat &A, const vec &b)
	Solves overdetermined linear equation systems.
mat	SPUC::ls_solve_od (const mat &A, const mat &B)
	Solves overdetermined linear equation systems.
vec	SPUC::backslash (const mat &A, const vec &b)
	A general linear equation system solver.
mat	SPUC::backslash (const mat &A, const mat &B)
	A general linear equation system solver.
vec	SPUC::forward_substitution (const mat &L, const vec &b)
	Forward substitution of square matrix.
void	SPUC::forward_substitution (const mat &L, const vec &b, vec &x)
	Forward substitution of square matrix.
vec	SPUC::forward_substitution (const mat &L, int p, const vec &b)
	Forward substitution of band matricies.
void	SPUC::forward_substitution (const mat &L, int p, const vec &b, vec &x)
	Forward substitution of band matricies.
vec	SPUC::backward_substitution (const mat &U, const vec &b)
	Backward substitution of square matrix.
void	SPUC::backward_substitution (const mat &U, const vec &b, vec &x)
	Backward substitution of square matrix.
vec	SPUC::backward_substitution (const mat &U, int q, const vec &b)
	Backward substitution of band matrix.
void	SPUC::backward_substitution (const mat &U, int q, const vec &b, vec &x)
	Backward substitution of band matrix.

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Detailed Description

Implementation of functions for solving linear equation systems.

Author:

Tony Ottosson

1.4

2002/02/14 20:54:59

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