sll_m_linear_operator_kron Module Reference

Description

module for a linear operator of kronecker solver

Defines a linear operator so that his dot represents the action of L x = kron(A, B) x or L x = kron(A, B, C) x

Maintainer ARA Modified by Benedikt Perse Stability stable

Derived types and interfaces
type	sll_t_linear_operator_kron
	class for a linear operator More...

Functions/Subroutines
subroutine	create_linear_operator_kron (self, linop_a, linop_b, linop_c)
	creates a linear operator More...
subroutine	free_linear_operator_kron (self)
	destroys the current object More...
subroutine	dot_linear_operator_kron (self, x, y)
	apply the dot operation More...
subroutine	dot_2_linear_operator_kron (self, linop_1, linop_2, x, y)
	apply the dot operation More...
subroutine	dot_3_linear_operator_kron (self, linop_1, linop_2, linop_3, x, y)
	apply the dot operation More...
subroutine	print_info_linear_operator_kron (self)
	prints a linear operator More...
recursive subroutine, public	sll_transpose (x, x_t)
	returnes the transpose of a 2d array More...
subroutine, public	sll_vector_to_matrix (vec, mat)
	converts a vector to a matrix More...
subroutine, public	sll_matrix_to_vector (mat, vec)
	converts a matrix to a vector More...

Function/Subroutine Documentation

create_linear_operator_kron()

subroutine sll_m_linear_operator_kron::create_linear_operator_kron ( class(sll_t_linear_operator_kron), intent(inout)  self, class(sll_t_linear_operator_abstract), intent(in), target  linop_a, class(sll_t_linear_operator_abstract), intent(in), target  linop_b, class(sll_t_linear_operator_abstract), intent(in), optional, target  linop_c  )

private

creates a linear operator

Parameters

[in,out]	self	the current object
[in]	linop_a	a first linear_operator object (applied to second dimension)
[in]	linop_b	a second linear_operator object (applied to second dimension)
[in]	linop_c	a third linear_operator object (applied to third dimension) [optional]

Definition at line 63 of file sll_m_linear_operator_kron.F90.

dot_2_linear_operator_kron()

subroutine sll_m_linear_operator_kron::dot_2_linear_operator_kron ( class(sll_t_linear_operator_kron), intent(in)  self, class(sll_t_linear_operator_abstract), intent(in)  linop_1, class(sll_t_linear_operator_abstract), intent(in)  linop_2, real(kind=f64), dimension(:), intent(in)  x, real(kind=f64), dimension(:), intent(inout)  y  )

private

apply the dot operation

Parameters

[in,out]	self	the current object
[in]	linop_1	first linear operator
[in]	linop_2	second linear operator
[in]	x	a real valued vector
[in,out]	y	a real valued vector

Definition at line 155 of file sll_m_linear_operator_kron.F90.

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dot_3_linear_operator_kron()

subroutine sll_m_linear_operator_kron::dot_3_linear_operator_kron ( class(sll_t_linear_operator_kron), intent(in)  self, class(sll_t_linear_operator_abstract), intent(in)  linop_1, class(sll_t_linear_operator_abstract), intent(in)  linop_2, class(sll_t_linear_operator_abstract), intent(in)  linop_3, real(kind=f64), dimension(:), intent(in)  x, real(kind=f64), dimension(:), intent(inout)  y  )

private

apply the dot operation

Parameters

[in,out]	self	the current object
[in]	linop_1	first linear operator
[in]	linop_2	second linear operator
[in]	linop_3	third linear operator
[in]	x	a real valued vector
[in,out]	y	a real valued vector

Definition at line 229 of file sll_m_linear_operator_kron.F90.

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dot_linear_operator_kron()

subroutine sll_m_linear_operator_kron::dot_linear_operator_kron ( class(sll_t_linear_operator_kron), intent(in)  self, real(kind=f64), dimension(:), intent(in)  x, real(kind=f64), dimension(:), intent(out)  y  )

private

apply the dot operation

Parameters

[in,out]	self	the current object
[in]	x	a real valued vector
[in,out]	y	a real valued vector

Definition at line 129 of file sll_m_linear_operator_kron.F90.

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free_linear_operator_kron()

subroutine sll_m_linear_operator_kron::free_linear_operator_kron ( class(sll_t_linear_operator_kron), intent(inout)  self )

private

destroys the current object

Parameters

[in,out]

self

the current object

Definition at line 116 of file sll_m_linear_operator_kron.F90.

print_info_linear_operator_kron()

subroutine sll_m_linear_operator_kron::print_info_linear_operator_kron ( class(sll_t_linear_operator_kron), intent(in)  self )

private

prints a linear operator

Parameters

[in,out]

self

the current object

Definition at line 307 of file sll_m_linear_operator_kron.F90.

sll_matrix_to_vector()

subroutine, public sll_m_linear_operator_kron::sll_matrix_to_vector	(	real(kind=f64), dimension(:,:), intent(in)	mat,
		real(kind=f64), dimension(:), intent(inout)	vec
	)

converts a matrix to a vector

Parameters

[in]	mat	input matrix
[in,out]	vec	array of shape 1 representation of the matrix

Definition at line 392 of file sll_m_linear_operator_kron.F90.

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sll_transpose()

recursive subroutine, public sll_m_linear_operator_kron::sll_transpose	(	real(kind=f64), dimension(:,:), intent(in)	x,
		real(kind=f64), dimension(:,:), intent(out)	x_t
	)

returnes the transpose of a 2d array

Parameters

[in]	x	array to transpose
[in,out]	x_t	transposed array

Todo:

to be optimized depending on the biggest size

Definition at line 330 of file sll_m_linear_operator_kron.F90.

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sll_vector_to_matrix()

subroutine, public sll_m_linear_operator_kron::sll_vector_to_matrix	(	real(kind=f64), dimension(:), intent(in)	vec,
		real(kind=f64), dimension(:,:), intent(inout)	mat
	)

converts a vector to a matrix

Parameters

[in]	vec	input vector
[in,out]	mat	tensor reprensentation of the vector

Definition at line 362 of file sll_m_linear_operator_kron.F90.

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