SignSolversModule Module

A Module For Computing The Matrix Sign Function.

Uses

Contents

Subroutines

SignFunction DenseSignFunction PolarDecomposition

Subroutines

public subroutine SignFunction(InMat, OutMat, solver_parameters_in)

Computes the matrix sign function.

Arguments

Type	Intent	Optional	Attributes		Name
type(Matrix_ps),	intent(in)			::	InMat	The input matrix.
type(Matrix_ps),	intent(inout)			::	OutMat	The sign of Mat.
type(SolverParameters_t),	intent(in),	optional		::	solver_parameters_in	Parameters for the solver.

public subroutine DenseSignFunction(InMat, OutputMat, solver_parameters_in)

Computes the matrix sign function (dense version).

Arguments

Type	Intent	Optional	Attributes		Name
type(Matrix_ps),	intent(in)			::	InMat	The matrix to compute the sign of.
type(Matrix_ps),	intent(inout)			::	OutputMat	The sign of the input matrix.
type(SolverParameters_t),	intent(in),	optional		::	solver_parameters_in	Parameters for the solver

public subroutine PolarDecomposition(InMat, Umat, Hmat, solver_parameters_in)

Computes the polar decomposition of a matrix Mat = U*H.

Arguments

Type	Intent	Optional	Attributes		Name
type(Matrix_ps),	intent(in)			::	InMat	The input matrix.
type(Matrix_ps),	intent(inout)			::	Umat	The unitary polar factor.
type(Matrix_ps),	intent(inout),	optional		::	Hmat	The hermitian matrix factor.
type(SolverParameters_t),	intent(in),	optional		::	solver_parameters_in	Parameters for the solver.