la_eig::eigh Interface Reference

Public Member Functions
subroutine	la_eigh_s (a, lambda, vectors, upper_a, overwrite_a, err)
	Eigendecomposition of a real symmetric or complex Hermitian matrix A returning an array lambda of eigenvalues, and optionally right or left eigenvectors.
subroutine	la_eigh_d (a, lambda, vectors, upper_a, overwrite_a, err)
	Eigendecomposition of a real symmetric or complex Hermitian matrix A returning an array lambda of eigenvalues, and optionally right or left eigenvectors.
subroutine	la_eigh_q (a, lambda, vectors, upper_a, overwrite_a, err)
	Eigendecomposition of a real symmetric or complex Hermitian matrix A returning an array lambda of eigenvalues, and optionally right or left eigenvectors.
subroutine	la_eigh_c (a, lambda, vectors, upper_a, overwrite_a, err)
	Eigendecomposition of a real symmetric or complex Hermitian matrix A returning an array lambda of eigenvalues, and optionally right or left eigenvectors.
subroutine	la_eigh_z (a, lambda, vectors, upper_a, overwrite_a, err)
	Eigendecomposition of a real symmetric or complex Hermitian matrix A returning an array lambda of eigenvalues, and optionally right or left eigenvectors.
subroutine	la_eigh_w (a, lambda, vectors, upper_a, overwrite_a, err)
	Eigendecomposition of a real symmetric or complex Hermitian matrix A returning an array lambda of eigenvalues, and optionally right or left eigenvectors.

Member Function/Subroutine Documentation

la_eigh_c()

subroutine la_eig::eigh::la_eigh_c	(	complex(sp), dimension(:,:), intent(inout), target	a,
		real(sp), dimension(:), intent(out)	lambda,
		complex(sp), dimension(:,:), intent(out), optional, target	vectors,
		logical(lk), intent(in), optional	upper_a,
		logical(lk), intent(in), optional	overwrite_a,
		type(la_state), intent(out), optional	err
	)

Eigendecomposition of a real symmetric or complex Hermitian matrix A returning an array lambda of eigenvalues, and optionally right or left eigenvectors.

Parameters

[in,out]	a	Input matrix A[m,n]
[out]	lambda	Array of eigenvalues
[out]	vectors	The columns of vectors contain the orthonormal eigenvectors of A
[in]	overwrite_a	[optional] Can A data be overwritten and destroyed?
[in]	upper_a	[optional] Should the upper/lower half of A be used? Default: lower
[out]	err	[optional] state return flag. On error if not requested, the code will stop

la_eigh_d()

subroutine la_eig::eigh::la_eigh_d	(	real(dp), dimension(:,:), intent(inout), target	a,
		real(dp), dimension(:), intent(out)	lambda,
		real(dp), dimension(:,:), intent(out), optional, target	vectors,
		logical(lk), intent(in), optional	upper_a,
		logical(lk), intent(in), optional	overwrite_a,
		type(la_state), intent(out), optional	err
	)

Eigendecomposition of a real symmetric or complex Hermitian matrix A returning an array lambda of eigenvalues, and optionally right or left eigenvectors.

Parameters

[in,out]	a	Input matrix A[m,n]
[out]	lambda	Array of eigenvalues
[out]	vectors	The columns of vectors contain the orthonormal eigenvectors of A
[in]	overwrite_a	[optional] Can A data be overwritten and destroyed?
[in]	upper_a	[optional] Should the upper/lower half of A be used? Default: lower
[out]	err	[optional] state return flag. On error if not requested, the code will stop

la_eigh_q()

subroutine la_eig::eigh::la_eigh_q	(	real(qp), dimension(:,:), intent(inout), target	a,
		real(qp), dimension(:), intent(out)	lambda,
		real(qp), dimension(:,:), intent(out), optional, target	vectors,
		logical(lk), intent(in), optional	upper_a,
		logical(lk), intent(in), optional	overwrite_a,
		type(la_state), intent(out), optional	err
	)

Eigendecomposition of a real symmetric or complex Hermitian matrix A returning an array lambda of eigenvalues, and optionally right or left eigenvectors.

Parameters

[in,out]	a	Input matrix A[m,n]
[out]	lambda	Array of eigenvalues
[out]	vectors	The columns of vectors contain the orthonormal eigenvectors of A
[in]	overwrite_a	[optional] Can A data be overwritten and destroyed?
[in]	upper_a	[optional] Should the upper/lower half of A be used? Default: lower
[out]	err	[optional] state return flag. On error if not requested, the code will stop

la_eigh_s()

subroutine la_eig::eigh::la_eigh_s	(	real(sp), dimension(:,:), intent(inout), target	a,
		real(sp), dimension(:), intent(out)	lambda,
		real(sp), dimension(:,:), intent(out), optional, target	vectors,
		logical(lk), intent(in), optional	upper_a,
		logical(lk), intent(in), optional	overwrite_a,
		type(la_state), intent(out), optional	err
	)

Eigendecomposition of a real symmetric or complex Hermitian matrix A returning an array lambda of eigenvalues, and optionally right or left eigenvectors.

Parameters

[in,out]	a	Input matrix A[m,n]
[out]	lambda	Array of eigenvalues
[out]	vectors	The columns of vectors contain the orthonormal eigenvectors of A
[in]	overwrite_a	[optional] Can A data be overwritten and destroyed?
[in]	upper_a	[optional] Should the upper/lower half of A be used? Default: lower
[out]	err	[optional] state return flag. On error if not requested, the code will stop

la_eigh_w()

subroutine la_eig::eigh::la_eigh_w	(	complex(qp), dimension(:,:), intent(inout), target	a,
		real(qp), dimension(:), intent(out)	lambda,
		complex(qp), dimension(:,:), intent(out), optional, target	vectors,
		logical(lk), intent(in), optional	upper_a,
		logical(lk), intent(in), optional	overwrite_a,
		type(la_state), intent(out), optional	err
	)

Eigendecomposition of a real symmetric or complex Hermitian matrix A returning an array lambda of eigenvalues, and optionally right or left eigenvectors.

Parameters

[in,out]	a	Input matrix A[m,n]
[out]	lambda	Array of eigenvalues
[out]	vectors	The columns of vectors contain the orthonormal eigenvectors of A
[in]	overwrite_a	[optional] Can A data be overwritten and destroyed?
[in]	upper_a	[optional] Should the upper/lower half of A be used? Default: lower
[out]	err	[optional] state return flag. On error if not requested, the code will stop

la_eigh_z()

subroutine la_eig::eigh::la_eigh_z	(	complex(dp), dimension(:,:), intent(inout), target	a,
		real(dp), dimension(:), intent(out)	lambda,
		complex(dp), dimension(:,:), intent(out), optional, target	vectors,
		logical(lk), intent(in), optional	upper_a,
		logical(lk), intent(in), optional	overwrite_a,
		type(la_state), intent(out), optional	err
	)

Eigendecomposition of a real symmetric or complex Hermitian matrix A returning an array lambda of eigenvalues, and optionally right or left eigenvectors.

Parameters

[in,out]	a	Input matrix A[m,n]
[out]	lambda	Array of eigenvalues
[out]	vectors	The columns of vectors contain the orthonormal eigenvectors of A
[in]	overwrite_a	[optional] Can A data be overwritten and destroyed?
[in]	upper_a	[optional] Should the upper/lower half of A be used? Default: lower
[out]	err	[optional] state return flag. On error if not requested, the code will stop

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The documentation for this interface was generated from the following file:

• la_eigs.f90