polynomialsolversmodule Module Reference

A Module For Computing General Matrix Polynomials. More...

Data Types
type	polynomial_t
	A datatype that represents a polynomial. More...

Functions/Subroutines
pure subroutine, public	constructpolynomial (this, degree)
	Construct a polynomial. More...
pure subroutine, public	destructpolynomial (this)
	Destruct a polynomial object. More...
subroutine, public	setcoefficient (this, degree, coefficient)
	Set coefficient of a polynomial. More...
subroutine, public	hornercompute (InputMat, OutputMat, poly, solver_parameters_in)
	Compute A Matrix Polynomial Using Horner's Method. More...
subroutine, public	patersonstockmeyercompute (InputMat, OutputMat, poly, solver_parameters_in)
	Compute A Matrix Polynomial Using Paterson and Stockmeyer's method. This method first factors the polynomial to reduce the number of matrix multiplies required. More...

Detailed Description

A Module For Computing General Matrix Polynomials.

Function/Subroutine Documentation

constructpolynomial()

pure subroutine, public polynomialsolversmodule::constructpolynomial	(	type(polynomial_t), intent(inout)	this,
		integer, intent(in)	degree
	)

Construct a polynomial.

Parameters

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

destructpolynomial()

pure subroutine, public polynomialsolversmodule::destructpolynomial

(

type(polynomial_t), intent(inout)

this

)

Destruct a polynomial object.

Parameters

[in,out]

this

the polynomial to destruct.

hornercompute()

subroutine, public polynomialsolversmodule::hornercompute	(	type(distributedsparsematrix_t), intent(in)	InputMat,
		type(distributedsparsematrix_t), intent(inout)	OutputMat,
		type(polynomial_t), intent(in)	poly,
		type(fixedsolverparameters_t), intent(in), optional	solver_parameters_in
	)

Compute A Matrix Polynomial Using Horner's Method.

Parameters

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

patersonstockmeyercompute()

subroutine, public polynomialsolversmodule::patersonstockmeyercompute	(	type(distributedsparsematrix_t), intent(in)	InputMat,
		type(distributedsparsematrix_t), intent(inout)	OutputMat,
		type(polynomial_t), intent(in)	poly,
		type(fixedsolverparameters_t), intent(in), optional	solver_parameters_in
	)

Compute A Matrix Polynomial Using Paterson and Stockmeyer's method. This method first factors the polynomial to reduce the number of matrix multiplies required.

Parameters

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

setcoefficient()

subroutine, public polynomialsolversmodule::setcoefficient	(	type(polynomial_t), intent(inout)	this,
		integer, intent(in)	degree,
		real(ntreal), intent(in)	coefficient
	)

Set coefficient of a polynomial.

Parameters

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