phiAHessenberg.c File Reference

Computes various matrix exponential functions on the Krylov Hessenberg matricies. More...

#include <stdlib.h>
#include <complex.h>
#include "header.h"
#include "lapack_dfns.h"
#include "complexInverse.h"
#include "solver_options.h"
#include "solver_props.h"

Include dependency graph for phiAHessenberg.c:

Go to the source code of this file.

Functions
int	phi2Ac_variable (const int m, const double *A, const double c, double *phiA)
	Compute the 2nd order Phi (exponential) matrix function. More...
int	phiAc_variable (const int m, const double *A, const double c, double *phiA)
	Compute the first order Phi (exponential) matrix function. More...
int	expAc_variable (const int m, const double *A, const double c, double *phiA)
	Compute the zeroth order Phi (exponential) matrix function. This is the regular matrix exponential. More...

Variables
double complex	poles [N_RA]
double complex	res [N_RA]

Detailed Description

Computes various matrix exponential functions on the Krylov Hessenberg matricies.

Definition in file phiAHessenberg.c.

Function Documentation

expAc_variable()

int expAc_variable	(	const int	m,
		const double *	A,
		const double	c,
		double *	phiA
	)

Compute the zeroth order Phi (exponential) matrix function. This is the regular matrix exponential.

Computes \(\phi_0(c*A)\)

Parameters

[in]	m	The Hessenberg matrix size (mxm)
[in]	A	The input Hessenberg matrix
[in]	c	The scaling factor
[out]	phiA	The resulting exponential matrix

Definition at line 140 of file phiAHessenberg.c.

phi2Ac_variable()

int phi2Ac_variable	(	const int	m,
		const double *	A,
		const double	c,
		double *	phiA
	)

Compute the 2nd order Phi (exponential) matrix function.

Computes \(\phi_2(c*A)\)

Parameters

[in]	m	The Hessenberg matrix size (mxm)
[in]	A	The input Hessenberg matrix
[in]	c	The scaling factor
[out]	phiA	The resulting exponential matrix

Definition at line 27 of file phiAHessenberg.c.

phiAc_variable()

int phiAc_variable	(	const int	m,
		const double *	A,
		const double	c,
		double *	phiA
	)

Compute the first order Phi (exponential) matrix function.

Computes \(\phi_1(c*A)\)

Parameters

[in]	m	The Hessenberg matrix size (mxm)
[in]	A	The input Hessenberg matrix
[in]	c	The scaling factor
[out]	phiA	The resulting exponential matrix

Definition at line 83 of file phiAHessenberg.c.

Variable Documentation

poles

double complex poles[N_RA]

Definition at line 17 of file rational_approximant.c.

res

double complex res[N_RA]

Definition at line 18 of file rational_approximant.c.