chebyshevsolversmodule Module Reference

A Module For Computing Matrix functions based on Chebyshev polynomials. More...

Data Types
type	chebyshevpolynomial_t
	A datatype that represents a Chebyshev polynomial. More...

Functions/Subroutines
pure subroutine, public	constructchebyshevpolynomial (this, degree)
	Construct a Chebyshev polynomial object. More...
pure subroutine, public	destructchebyshevpolynomial (this)
	Destruct a polynomial object. More...
subroutine, public	setchebyshevcoefficient (this, degree, coefficient)
	Set a coefficient of a Chebyshev polynomial. More...
subroutine, public	chebyshevcompute (InputMat, OutputMat, poly, solver_parameters_in)
	Compute The Chebyshev Polynomial of the matrix. This method uses the standard Chebyshev Polynomial expansion. More...
subroutine, public	factorizedchebyshevcompute (InputMat, OutputMat, poly, solver_parameters_in)
	Compute The Chebyshev Polynomial of the matrix. This version first factors the Chebyshev Polynomial and computes the function using a divide and conquer algorithm. Based on a simplified version of the first method in [5] . More...

Detailed Description

A Module For Computing Matrix functions based on Chebyshev polynomials.

Function/Subroutine Documentation

chebyshevcompute()

subroutine, public chebyshevsolversmodule::chebyshevcompute	(	type(distributedsparsematrix_t), intent(in)	InputMat,
		type(distributedsparsematrix_t), intent(inout)	OutputMat,
		type(chebyshevpolynomial_t), intent(in)	poly,
		type(fixedsolverparameters_t), intent(in), optional	solver_parameters_in
	)

Compute The Chebyshev Polynomial of the matrix. This method uses the standard Chebyshev Polynomial expansion.

Parameters

[in]	InputMat	the input matrix
[out]	OutputMat	= poly(InputMat)
[in]	poly	the Chebyshev polynomial to compute.
[in]	solver_parameters_in	parameters for the solver (optional).

constructchebyshevpolynomial()

pure subroutine, public chebyshevsolversmodule::constructchebyshevpolynomial	(	type(chebyshevpolynomial_t), intent(inout)	this,
		integer, intent(in)	degree
	)

Construct a Chebyshev polynomial object.

Parameters

[in,out]	this	the polynomial to construct.
[in]	degree	of the polynomial.

destructchebyshevpolynomial()

pure subroutine, public chebyshevsolversmodule::destructchebyshevpolynomial

(

type(chebyshevpolynomial_t), intent(inout)

this

)

Destruct a polynomial object.

Parameters

[in,out]

this

the polynomial to destruct.

factorizedchebyshevcompute()

subroutine, public chebyshevsolversmodule::factorizedchebyshevcompute	(	type(distributedsparsematrix_t), intent(in)	InputMat,
		type(distributedsparsematrix_t), intent(inout)	OutputMat,
		type(chebyshevpolynomial_t), intent(in)	poly,
		type(fixedsolverparameters_t), intent(in), optional	solver_parameters_in
	)

Compute The Chebyshev Polynomial of the matrix. This version first factors the Chebyshev Polynomial and computes the function using a divide and conquer algorithm. Based on a simplified version of the first method in [5] .

Parameters

[in]	InputMat	the input matrix
[out]	OutputMat	= poly(InputMat)
[in]	poly	the Chebyshev polynomial to compute.
[in]	solver_parameters_in	parameters for the solver (optional).

setchebyshevcoefficient()

subroutine, public chebyshevsolversmodule::setchebyshevcoefficient	(	type(chebyshevpolynomial_t), intent(inout)	this,
		integer, intent(in)	degree,
		real(ntreal), intent(in)	coefficient
	)

Set a coefficient of a Chebyshev polynomial.

Parameters

[in,out]	this	the polynomial to set.
[in]	degree	for which to set the coefficient.
[in]	coefficient	value.