expm.h File Reference

Solver for linear systems by doing an exponential expansion. More...

#include "tbci/basics.h"
#include "tbci/matrix.h"

Include dependency graph for expm.h:

Go to the source code of this file.

Functions
template<typename Matrix >
NAMESPACE_TBCI double	norm_1 (const Matrix &mat)
template<typename T >
double	norm_1 (const TMatrix< T > &mat)
	We need a special implementation for TMatrix to prevent memory leak. More...
template<typename Matrix >
void	expm (const Matrix &exponent, Matrix &E)
	INST2 (template< Matrix< T >, Matrix< T > > class NN friend void expm2(const Matrix< T > &exponent, Matrix< T > &erg, double);) INST2(template< BdMatrix< T >
Matrix< T > class NN friend void	expm2 (const BdMatrix< T > &exponent, Matrix< T > &erg, double)
template<typename MatrixIn , typename MatrixOut >
void	expm2 (const MatrixIn &exponent, MatrixOut &erg, double ERROR=1e-3)
	INST2 (template< Matrix< T >, Matrix< T > > class NN friend void expm3(const Matrix< T > &exponent, Matrix< T > &erg, double);) INST2(template< BdMatrix< T >
Matrix< T > class NN friend void	expm3 (const BdMatrix< T > &exponent, Matrix< T > &erg, double)
template<typename MatrixIn , typename MatrixOut >
void	expm3 (const MatrixIn &exponent, MatrixOut &erg, double ERROR=1e-3)

Detailed Description

Solver for linear systems by doing an exponential expansion.

Definition in file expm.h.

Function Documentation

template<typename Matrix >

void expm	(	const Matrix &	exponent,
		Matrix &	E
	)

Definition at line 57 of file expm.h.

References c, lu_solve(), MAX, norm_1(), p, pow(), TMatrix< T >::rows(), and TBCI__.

Matrix<T> class NN friend void expm2	(	const BdMatrix< T > &	exponent,
		Matrix< T > &	erg,
		double
	)

template<typename MatrixIn , typename MatrixOut >

void expm2	(	const MatrixIn &	exponent,
		MatrixOut &	erg,
		double	ERROR = 1e-3
	)

Definition at line 116 of file expm.h.

References i, MAX, norm_1(), and pow().

Matrix<T> class NN friend void expm3	(	const BdMatrix< T > &	exponent,
		Matrix< T > &	erg,
		double
	)

template<typename MatrixIn , typename MatrixOut >

void expm3	(	const MatrixIn &	exponent,
		MatrixOut &	erg,
		double	ERROR = 1e-3
	)

Definition at line 167 of file expm.h.

References std::fabs(), i, MATH__, MAX, norm_1(), pow(), and STD__.

INST2

(

template< Matrix< T >, Matrix< T > > class NN friend void expm2(const Matrix< T > &exponent, Matrix< T > &erg, double);

)

INST2

(

template< Matrix< T >, Matrix< T > > class NN friend void expm3(const Matrix< T > &exponent, Matrix< T > &erg, double);

)

template<typename Matrix >

NAMESPACE_TBCI double norm_1

(

const Matrix &

mat

)

Definition at line 18 of file expm.h.

References TMatrix< T >::columns(), std::fabs(), TMatrix< T >::get(), i, MATH__, max(), MAX, TMatrix< T >::rows(), and sum().

Referenced by expm(), expm2(), and expm3().

template<typename T >

double norm_1

(

const TMatrix< T > &

mat

)

We need a special implementation for TMatrix to prevent memory leak.

Definition at line 35 of file expm.h.

References TMatrix< T >::columns(), std::fabs(), TMatrix< T >::get(), i, TMatrix< T >::mark_destroy(), MATH__, max(), MAX, TMatrix< T >::rows(), and sum().