matrix_utilities Module Reference

This module contains the subroutine and functions to manipulate and modify matrices. More...

Functions/Subroutines
subroutine, public	sym_matrix_inversion (A, error_code)
	This subroutine computes the inverse of a square symmetric matrix by means of LAPACK LU decomposition and inversion. More...
subroutine, public	matrix_determinant (A, det, error_code)
	This subroutine computes the determinant of a matrix. More...
subroutine, public	matrix_eigenvalues_eigenvectors_sym (A, eigenvalues, eigenvectors, error_code)
	This subroutine computes the eigenvalues and eigenvectors of a matrix. More...

Detailed Description

This module contains the subroutine and functions to manipulate and modify matrices.

Author

Marco Raveri

Function/Subroutine Documentation

subroutine, public matrix_utilities::matrix_determinant	(	real(dl), dimension(:,:), intent(in)	A,
		real(dl), intent(out)	det,
		integer, intent(out)	error_code
	)

This subroutine computes the determinant of a matrix.

Parameters

[in]	a	Input matrix.
[out]	det	Output determinant of the matrix.
[out]	error_code	Error code: 0 means everything ok

Definition at line 86 of file 001_Matrix_utilities.f90.

subroutine, public matrix_utilities::matrix_eigenvalues_eigenvectors_sym	(	real(dl), dimension(:,:), intent(in)	A,
		real(dl), dimension(:), intent(out)	eigenvalues,
		real(dl), dimension(:,:), intent(out)	eigenvectors,
		integer, intent(out)	error_code
	)

This subroutine computes the eigenvalues and eigenvectors of a matrix.

Parameters

[in]	a	Input matrix.
[out]	eigenvalues	Output eigenvalues
[out]	eigenvectors	Output eigenvectors
[out]	error_code	Error code: 0 means everything ok

Definition at line 140 of file 001_Matrix_utilities.f90.

subroutine, public matrix_utilities::sym_matrix_inversion	(	real(dl), dimension(:,:), intent(inout)	A,
		integer, intent(out)	error_code
	)

This subroutine computes the inverse of a square symmetric matrix by means of LAPACK LU decomposition and inversion.

Parameters

[in,out]	a	Input and output matrix. Inversion happends in place.
[out]	error_code	Error code: 0 means everything ok 1 means singular matrix 2 means inversion failed for some reason

Definition at line 42 of file 001_Matrix_utilities.f90.