phiAHessenberg.cu File Reference

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

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

Include dependency graph for phiAHessenberg.cu:

Go to the source code of this file.

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

Variables
__device__ __constant__ cuDoubleComplex	poles [N_RA]
__device__ __constant__ cuDoubleComplex	res [N_RA]

Detailed Description

Computes various matrix exponential functions on the Krylov Hessenberg matricies.

Definition in file phiAHessenberg.cu.

Function Documentation

expAc_variable()

__device__ int expAc_variable	(	const int	m,
		const double *__restrict__	A,
		const double	c,
		double *__restrict__	phiA,
		const solver_memory *__restrict__	solver,
		cuDoubleComplex *__restrict__	work
	)

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
[in]	solver	The solver_memory object
[in]	work	A complex work array

Definition at line 148 of file phiAHessenberg.cu.

phi2Ac_variable()

__device__ int phi2Ac_variable	(	const int	m,
		const double *__restrict__	A,
		const double	c,
		double *__restrict__	phiA,
		const solver_memory *__restrict__	solver,
		cuDoubleComplex *__restrict__	work
	)

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
[in]	solver	The solver_memory object
[in]	work	A complex work array

Definition at line 27 of file phiAHessenberg.cu.

phiAc_variable()

__device__ int phiAc_variable	(	const int	m,
		const double *__restrict__	A,
		const double	c,
		double *__restrict__	phiA,
		const solver_memory *__restrict__	solver,
		cuDoubleComplex *__restrict__	work
	)

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
[in]	solver	The solver_memory object
[in]	work	A complex work array

Definition at line 87 of file phiAHessenberg.cu.

Variable Documentation

poles

__device__ __constant__ cuDoubleComplex poles[N_RA]

Definition at line 17 of file rational_approximant.c.

res

__device__ __constant__ cuDoubleComplex res[N_RA]

Definition at line 18 of file rational_approximant.c.