dlaf_fortran – DLA-Future-Fortran

public subroutine dlaf_initialize()

Initialize DLA-Future and pika

Arguments

None

public subroutine dlaf_finalize()

Finalize DLA-Future and pika

Arguments

None

public subroutine dlaf_create_grid_from_blacs(blacs_context)

Create DLA-Future grid from existing BLACS context

Arguments

Type	Intent	Optional	Attributes		Name
integer,	intent(in)			::	blacs_context	BLACS context

public subroutine dlaf_free_grid(blacs_context)

Free DLA-Future grid corresponding to given BLACS context

Arguments

Type	Intent	Optional	Attributes		Name
integer,	intent(in)			::	blacs_context	BLACS context

public subroutine dlaf_pspotrf(uplo, n, a, ia, ja, desca, info)

Cholesky decomposition for a distributed single-precision real symmetric positive definite matrix $\mathbf{A}$

Arguments

Type	Intent	Attributes		Name
character(len=1),	intent(in)		::	uplo	Indicates whether the upper (`"U"`) or lower (`"L"`) triangular part of the global sub-matrix $\mathbf{A}$ is referenced.
integer,	intent(in)		::	n	Order of the matrix sub-matrix $\mathbf{A}$ used in the computation.
real(kind=sp),	intent(inout),	dimension(:, :), target	::	a	Local part of the global matrix $\mathbf{A}$ .
integer,	intent(in)		::	ia	Row index of the global matrix identifying the first row of the sub-matrix $\mathbf{A}$ . Read more…
integer,	intent(in)		::	ja	Column index of the global matrix identifying the first column of the sub-matrix $\mathbf{A}$ . Read more…
integer,	intent(in),	dimension(9)	::	desca	ScaLAPACK descriptor of the global matrix $\mathbf{A}$ .
integer,	intent(out),	target	::	info	`0` if the function completed successfully.

public subroutine dlaf_pdpotrf(uplo, n, a, ia, ja, desca, info)

Cholesky decomposition for a distributed double-precision real symmetric positive definite matrix $\mathbf{A}$

Arguments

Type	Intent	Attributes		Name
character(len=1),	intent(in)		::	uplo	Indicates whether the upper (`"U"`) or lower (`"L"`) triangular part of the global sub-matrix $\mathbf{A}$ is referenced.
integer,	intent(in)		::	n	Order of the matrix sub-matrix $\mathbf{A}$ used in the computation.
real(kind=dp),	intent(inout),	dimension(:, :), target	::	a	Local part of the global matrix $\mathbf{A}$ .
integer,	intent(in)		::	ia	Row index of the global matrix identifying the first row of the sub-matrix $\mathbf{A}$ . Read more…
integer,	intent(in)		::	ja	Column index of the global matrix identifying the first column of the sub-matrix $\mathbf{A}$ . Read more…
integer,	intent(in),	dimension(9)	::	desca	ScaLAPACK descriptor of the global matrix $\mathbf{A}$ .
integer,	intent(out),	target	::	info	`0` if the function completed successfully.

public subroutine dlaf_pcpotrf(uplo, n, a, ia, ja, desca, info)

Cholesky decomposition for a distributed single-precision complex Hermitian positive definite matrix $\mathbf{A}$

Arguments

Type	Intent	Attributes		Name
character(len=1),	intent(in)		::	uplo	Indicates whether the upper (`"U"`) or lower (`"L"`) triangular part of the global sub-matrix $\mathbf{A}$ is referenced.
integer,	intent(in)		::	n	Order of the matrix sub-matrix $\mathbf{A}$ used in the computation.
complex(kind=sp),	intent(inout),	dimension(:, :), target	::	a	Local part of the global matrix $\mathbf{A}$ .
integer,	intent(in)		::	ia	Row index of the global matrix identifying the first row of the sub-matrix $\mathbf{A}$ . Read more…
integer,	intent(in)		::	ja	Column index of the global matrix identifying the first column of the sub-matrix $\mathbf{A}$ . Read more…
integer,	intent(in),	dimension(9)	::	desca	ScaLAPACK descriptor of the global matrix $\mathbf{A}$ .
integer,	intent(out),	target	::	info	`0` if the function completed successfully.

public subroutine dlaf_pzpotrf(uplo, n, a, ia, ja, desca, info)

Cholesky decomposition for a distributed double-precision complex Hermitian positive definite matrix $\mathbf{A}$

Arguments

Type	Intent	Attributes		Name
character(len=1),	intent(in)		::	uplo	Indicates whether the upper (`"U"`) or lower (`"L"`) triangular part of the global sub-matrix $\mathbf{A}$ is referenced.
integer,	intent(in)		::	n	Order of the matrix sub-matrix $\mathbf{A}$ used in the computation.
complex(kind=dp),	intent(inout),	dimension(:, :), target	::	a	Local part of the global matrix $\mathbf{A}$ .
integer,	intent(in)		::	ia	Row index of the global matrix identifying the first row of the sub-matrix $\mathbf{A}$ . Read more…
integer,	intent(in)		::	ja	Column index of the global matrix identifying the first column of the sub-matrix $\mathbf{A}$ . Read more…
integer,	intent(in),	dimension(9)	::	desca	ScaLAPACK descriptor of the global matrix $\mathbf{A}$ .
integer,	intent(out),	target	::	info	`0` if the function completed successfully.

public subroutine dlaf_pssyevd(uplo, n, a, ia, ja, desca, w, z, iz, jz, descz, info)

Eigensolver for a distributed single-precision real symmetric matrix $\mathbf{A}$ .

Arguments

Type	Intent	Attributes		Name
character(len=1),	intent(in)		::	uplo	Indicates whether the upper (`"U"`) or lower (`"L"`) triangular part of the global sub-matrix $\mathbf{A}$ is referenced. Read more…
integer,	intent(in)		::	n	Order of the matrix sub-matrix $\mathbf{A}$ used in the computation.
real(kind=sp),	intent(inout),	dimension(:, :), target	::	a	Local part of the global matrix $\mathbf{A}$ .
integer,	intent(in)		::	ia	Row index of the global matrix identifying the first row of the sub-matrix $\mathbf{A}$ . Read more…
integer,	intent(in)		::	ja	Column index of the global matrix identifying the first column of the sub-matrix $\mathbf{A}$ . Read more…
integer,	intent(in),	dimension(9)	::	desca	ScaLAPACK descriptor of the global matrix $\mathbf{A}$ .
real(kind=sp),	intent(out),	dimension(:), target	::	w	Local (non-distributed) vector of eigenvalues.
real(kind=sp),	intent(inout),	dimension(:, :), target	::	z	Local part of the global matrix $\mathbf{Z}$ .
integer,	intent(in)		::	iz	Row index in the global matrix identifying the first row of the sub-matrix $\mathbf{Z}$ . Read more…
integer,	intent(in)		::	jz	Column index in the global matrix identifying the first column of the sub-matrix $\mathbf{Z}$ . Read more…
integer,	intent(in),	dimension(9)	::	descz	ScaLAPACK descriptor of the global matrix $\mathbf{Z}$ .
integer,	intent(out),	target	::	info	`0` if the function completed successfully.

public subroutine dlaf_pssyevd_partial_spectrum(uplo, n, a, ia, ja, desca, w, z, iz, jz, descz, il, iu, info)

Eigensolver for a distributed single-precision real symmetric matrix $\mathbf{A}$ .

Arguments

Type	Intent	Attributes		Name
character(len=1),	intent(in)		::	uplo	Indicates whether the upper (`"U"`) or lower (`"L"`) triangular part of the global sub-matrix $\mathbf{A}$ is referenced. Read more…
integer,	intent(in)		::	n	Order of the matrix sub-matrix $\mathbf{A}$ used in the computation.
real(kind=sp),	intent(inout),	dimension(:, :), target	::	a	Local part of the global matrix $\mathbf{A}$ .
integer,	intent(in)		::	ia	Row index of the global matrix identifying the first row of the sub-matrix $\mathbf{A}$ . Read more…
integer,	intent(in)		::	ja	Column index of the global matrix identifying the first column of the sub-matrix $\mathbf{A}$ . Read more…
integer,	intent(in),	dimension(9)	::	desca	ScaLAPACK descriptor of the global matrix $\mathbf{A}$ .
real(kind=sp),	intent(out),	dimension(:), target	::	w	Local (non-distributed) vector of eigenvalues.
real(kind=sp),	intent(inout),	dimension(:, :), target	::	z	Local part of the global matrix $\mathbf{Z}$ .
integer,	intent(in)		::	iz	Row index in the global matrix identifying the first row of the sub-matrix $\mathbf{Z}$ . Read more…
integer,	intent(in)		::	jz	Column index in the global matrix identifying the first column of the sub-matrix $\mathbf{Z}$ . Read more…
integer,	intent(in),	dimension(9)	::	descz	ScaLAPACK descriptor of the global matrix $\mathbf{Z}$ .
integer(kind=i8),	intent(in)		::	il	Index (from smallest to largest) of the smallest eigenvector to be computed. Read more…
integer(kind=i8),	intent(in)		::	iu	Index (from smallest to largest) of the largest eigenvector to be computed.
integer,	intent(out),	target	::	info	`0` if the function completed successfully.

public subroutine dlaf_pdsyevd(uplo, n, a, ia, ja, desca, w, z, iz, jz, descz, info)

Eigensolver for a distributed double-precision real symmetric matrix $\mathbf{A}$ .

Arguments

Type	Intent	Attributes		Name
character(len=1),	intent(in)		::	uplo	Indicates whether the upper (`"U"`) or lower (`"L"`) triangular part of the global sub-matrix $\mathbf{A}$ is referenced. Read more…
integer,	intent(in)		::	n	Order of the matrix sub-matrix $\mathbf{A}$ used in the computation.
real(kind=dp),	intent(inout),	dimension(:, :), target	::	a	Local part of the global matrix $\mathbf{A}$ .
integer,	intent(in)		::	ia	Row index of the global matrix identifying the first row of the sub-matrix $\mathbf{A}$ . Read more…
integer,	intent(in)		::	ja	Column index of the global matrix identifying the first column of the sub-matrix $\mathbf{A}$ . Read more…
integer,	intent(in),	dimension(9)	::	desca	ScaLAPACK descriptor of the global matrix $\mathbf{A}$ .
real(kind=dp),	intent(out),	dimension(:), target	::	w	Local (non-distributed) vector of eigenvalues.
real(kind=dp),	intent(inout),	dimension(:, :), target	::	z	Local part of the global matrix $\mathbf{Z}$ .
integer,	intent(in)		::	iz	Row index in the global matrix identifying the first row of the sub-matrix $\mathbf{Z}$ . Read more…
integer,	intent(in)		::	jz	Column index in the global matrix identifying the first column of the sub-matrix $\mathbf{Z}$ . Read more…
integer,	intent(in),	dimension(9)	::	descz	ScaLAPACK descriptor of the global matrix $\mathbf{Z}$ .
integer,	intent(out),	target	::	info	`0` if the function completed successfully.

public subroutine dlaf_pdsyevd_partial_spectrum(uplo, n, a, ia, ja, desca, w, z, iz, jz, descz, il, iu, info)

Eigensolver for a distributed double-precision real symmetric matrix $\mathbf{A}$ .

Arguments

Type	Intent	Attributes		Name
character(len=1),	intent(in)		::	uplo	Indicates whether the upper (`"U"`) or lower (`"L"`) triangular part of the global sub-matrix $\mathbf{A}$ is referenced. Read more…
integer,	intent(in)		::	n	Order of the matrix sub-matrix $\mathbf{A}$ used in the computation.
real(kind=dp),	intent(inout),	dimension(:, :), target	::	a	Local part of the global matrix $\mathbf{A}$ .
integer,	intent(in)		::	ia	Row index of the global matrix identifying the first row of the sub-matrix $\mathbf{A}$ . Read more…
integer,	intent(in)		::	ja	Column index of the global matrix identifying the first column of the sub-matrix $\mathbf{A}$ . Read more…
integer,	intent(in),	dimension(9)	::	desca	ScaLAPACK descriptor of the global matrix $\mathbf{A}$ .
real(kind=dp),	intent(out),	dimension(:), target	::	w	Local (non-distributed) vector of eigenvalues.
real(kind=dp),	intent(inout),	dimension(:, :), target	::	z	Local part of the global matrix $\mathbf{Z}$ .
integer,	intent(in)		::	iz	Row index in the global matrix identifying the first row of the sub-matrix $\mathbf{Z}$ . Read more…
integer,	intent(in)		::	jz	Column index in the global matrix identifying the first column of the sub-matrix $\mathbf{Z}$ . Read more…
integer,	intent(in),	dimension(9)	::	descz	ScaLAPACK descriptor of the global matrix $\mathbf{Z}$ .
integer(kind=i8),	intent(in)		::	il	Index (from smallest to largest) of the smallest eigenvector to be computed. Read more…
integer(kind=i8),	intent(in)		::	iu	Index (from smallest to largest) of the largest eigenvector to be computed.
integer,	intent(out),	target	::	info	`0` if the function completed successfully.

public subroutine dlaf_pcheevd(uplo, n, a, ia, ja, desca, w, z, iz, jz, descz, info)

Eigensolver for a distributed single-precision complex Hermitian matrix $\mathbf{A}$ .

Arguments

Type	Intent	Attributes		Name
character(len=1),	intent(in)		::	uplo	Indicates whether the upper (`"U"`) or lower (`"L"`) triangular part of the global sub-matrix $\mathbf{A}$ is referenced. Read more…
integer,	intent(in)		::	n	Order of the matrix sub-matrix $\mathbf{A}$ used in the computation.
complex(kind=sp),	intent(inout),	dimension(:, :), target	::	a	Local part of the global matrix $\mathbf{A}$ .
integer,	intent(in)		::	ia	Row index of the global matrix identifying the first row of the sub-matrix $\mathbf{A}$ . Read more…
integer,	intent(in)		::	ja	Column index of the global matrix identifying the first column of the sub-matrix $\mathbf{A}$ . Read more…
integer,	intent(in),	dimension(9)	::	desca	ScaLAPACK descriptor of the global matrix $\mathbf{A}$ .
real(kind=sp),	intent(out),	dimension(:), target	::	w	Local (non-distributed) vector of eigenvalues.
complex(kind=sp),	intent(inout),	dimension(:, :), target	::	z	Local part of the global matrix $\mathbf{Z}$ .
integer,	intent(in)		::	iz	Row index in the global matrix identifying the first row of the sub-matrix $\mathbf{Z}$ . Read more…
integer,	intent(in)		::	jz	Column index in the global matrix identifying the first column of the sub-matrix $\mathbf{Z}$ . Read more…
integer,	intent(in),	dimension(9)	::	descz	ScaLAPACK descriptor of the global matrix $\mathbf{Z}$ .
integer,	intent(out),	target	::	info	`0` if the function completed successfully.

public subroutine dlaf_pcheevd_partial_spectrum(uplo, n, a, ia, ja, desca, w, z, iz, jz, descz, il, iu, info)

Eigensolver for a distributed single-precision complex Hermitian matrix $\mathbf{A}$ .

Arguments

Type	Intent	Attributes		Name
character(len=1),	intent(in)		::	uplo	Indicates whether the upper (`"U"`) or lower (`"L"`) triangular part of the global sub-matrix $\mathbf{A}$ is referenced. Read more…
integer,	intent(in)		::	n	Order of the matrix sub-matrix $\mathbf{A}$ used in the computation.
complex(kind=sp),	intent(inout),	dimension(:, :), target	::	a	Local part of the global matrix $\mathbf{A}$ .
integer,	intent(in)		::	ia	Row index of the global matrix identifying the first row of the sub-matrix $\mathbf{A}$ . Read more…
integer,	intent(in)		::	ja	Column index of the global matrix identifying the first column of the sub-matrix $\mathbf{A}$ . Read more…
integer,	intent(in),	dimension(9)	::	desca	ScaLAPACK descriptor of the global matrix $\mathbf{A}$ .
real(kind=sp),	intent(out),	dimension(:), target	::	w	Local (non-distributed) vector of eigenvalues.
complex(kind=sp),	intent(inout),	dimension(:, :), target	::	z	Local part of the global matrix $\mathbf{Z}$ .
integer,	intent(in)		::	iz	Row index in the global matrix identifying the first row of the sub-matrix $\mathbf{Z}$ . Read more…
integer,	intent(in)		::	jz	Column index in the global matrix identifying the first column of the sub-matrix $\mathbf{Z}$ . Read more…
integer,	intent(in),	dimension(9)	::	descz	ScaLAPACK descriptor of the global matrix $\mathbf{Z}$ .
integer(kind=i8),	intent(in)		::	il	Index (from smallest to largest) of the smallest eigenvector to be computed. Read more…
integer(kind=i8),	intent(in)		::	iu	Index (from smallest to largest) of the largest eigenvector to be computed.
integer,	intent(out),	target	::	info	`0` if the function completed successfully.

public subroutine dlaf_pzheevd(uplo, n, a, ia, ja, desca, w, z, iz, jz, descz, info)

Eigensolver for a distributed double-precision complex Hermitian matrix $\mathbf{A}$ .

Arguments

Type	Intent	Attributes		Name
character(len=1),	intent(in)		::	uplo	Indicates whether the upper (`"U"`) or lower (`"L"`) triangular part of the global sub-matrix $\mathbf{A}$ is referenced. Read more…
integer,	intent(in)		::	n	Order of the matrix sub-matrix $\mathbf{A}$ used in the computation.
complex(kind=dp),	intent(inout),	dimension(:, :), target	::	a	Local part of the global matrix $\mathbf{A}$ .
integer,	intent(in)		::	ia	Row index of the global matrix identifying the first row of the sub-matrix $\mathbf{A}$ . Read more…
integer,	intent(in)		::	ja	Column index of the global matrix identifying the first column of the sub-matrix $\mathbf{A}$ . Read more…
integer,	intent(in),	dimension(9)	::	desca	ScaLAPACK descriptor of the global matrix $\mathbf{A}$ .
real(kind=dp),	intent(out),	dimension(:), target	::	w	Local (non-distributed) vector of eigenvalues.
complex(kind=dp),	intent(inout),	dimension(:, :), target	::	z	Local part of the global matrix $\mathbf{Z}$ .
integer,	intent(in)		::	iz	Row index in the global matrix identifying the first row of the sub-matrix $\mathbf{Z}$ . Read more…
integer,	intent(in)		::	jz	Column index in the global matrix identifying the first column of the sub-matrix $\mathbf{Z}$ . Read more…
integer,	intent(in),	dimension(9)	::	descz	ScaLAPACK descriptor of the global matrix $\mathbf{Z}$ .
integer,	intent(out),	target	::	info	`0` if the function completed successfully.

public subroutine dlaf_pzheevd_partial_spectrum(uplo, n, a, ia, ja, desca, w, z, iz, jz, descz, il, iu, info)

Eigensolver for a distributed double-precision complex Hermitian matrix $\mathbf{A}$ .

Arguments

Type	Intent	Attributes		Name
character(len=1),	intent(in)		::	uplo	Indicates whether the upper (`"U"`) or lower (`"L"`) triangular part of the global sub-matrix $\mathbf{A}$ is referenced. Read more…
integer,	intent(in)		::	n	Order of the matrix sub-matrix $\mathbf{A}$ used in the computation.
complex(kind=dp),	intent(inout),	dimension(:, :), target	::	a	Local part of the global matrix $\mathbf{A}$ .
integer,	intent(in)		::	ia	Row index of the global matrix identifying the first row of the sub-matrix $\mathbf{A}$ . Read more…
integer,	intent(in)		::	ja	Column index of the global matrix identifying the first column of the sub-matrix $\mathbf{A}$ . Read more…
integer,	intent(in),	dimension(9)	::	desca	ScaLAPACK descriptor of the global matrix $\mathbf{A}$ .
real(kind=dp),	intent(out),	dimension(:), target	::	w	Local (non-distributed) vector of eigenvalues.
complex(kind=dp),	intent(inout),	dimension(:, :), target	::	z	Local part of the global matrix $\mathbf{Z}$ .
integer,	intent(in)		::	iz	Row index in the global matrix identifying the first row of the sub-matrix $\mathbf{Z}$ . Read more…
integer,	intent(in)		::	jz	Column index in the global matrix identifying the first column of the sub-matrix $\mathbf{Z}$ . Read more…
integer,	intent(in),	dimension(9)	::	descz	ScaLAPACK descriptor of the global matrix $\mathbf{Z}$ .
integer(kind=i8),	intent(in)		::	il	Index (from smallest to largest) of the smallest eigenvector to be computed. Read more…
integer(kind=i8),	intent(in)		::	iu	Index (from smallest to largest) of the largest eigenvector to be computed.
integer,	intent(out),	target	::	info	`0` if the function completed successfully.

public subroutine dlaf_pssygvd(uplo, n, a, ia, ja, desca, b, ib, jb, descb, w, z, iz, jz, descz, info)

Generalized eigensolver for a distributed single-precision symmetric-definite eigenproblem of the form $\mathbf{A}\mathbf{x} = \lambda\mathbf{B}\mathbf{x}.$

Arguments

Type	Intent	Attributes		Name
character(len=1),	intent(in)		::	uplo	Indicates whether the upper (`"U"`) or lower (`"L"`) triangular part of the global sub-matrix $\mathbf{A}$ is referenced. Read more…
integer,	intent(in)		::	n	Order of the matrix sub-matrix $\mathbf{A}$ used in the computation.
real(kind=sp),	intent(inout),	dimension(:, :), target	::	a	Local part of the global matrix $\mathbf{A}$ .
integer,	intent(in)		::	ia	Row index of the global matrix identifying the first row of the sub-matrix $\mathbf{A}$ . Read more…
integer,	intent(in)		::	ja	Column index of the global matrix identifying the first column of the sub-matrix $\mathbf{A}$ . Read more…
integer,	intent(in),	dimension(9)	::	desca	ScaLAPACK descriptor of the global matrix $\mathbf{A}$ .
real(kind=sp),	intent(inout),	dimension(:, :), target	::	b	Local part of the global matrix $\mathbf{B}$ .
integer,	intent(in)		::	ib	Row index of the global matrix identifying the first row of the sub-matrix $\mathbf{B}$ . Read more…
integer,	intent(in)		::	jb	Column index of the global matrix identifying the first column of the sub-matrix $\mathbf{B}$ . Read more…
integer,	intent(in),	dimension(9)	::	descb	ScaLAPACK descriptor of the global matrix $\mathbf{B}$ .
real(kind=sp),	intent(out),	dimension(:), target	::	w	Local (non-distributed) vector of eigenvalues.
real(kind=sp),	intent(inout),	dimension(:, :), target	::	z	Local part of the global matrix $\mathbf{Z}$ .
integer,	intent(in)		::	iz	Row index in the global matrix identifying the first row of the sub-matrix $\mathbf{Z}$ . Read more…
integer,	intent(in)		::	jz	Column index in the global matrix identifying the first column of the sub-matrix $\mathbf{Z}$ . Read more…
integer,	intent(in),	dimension(9)	::	descz	ScaLAPACK descriptor of the global matrix $\mathbf{Z}$ .
integer,	intent(out),	target	::	info	`0` if the function completed successfully.

public subroutine dlaf_pssygvd_partial_spectrum(uplo, n, a, ia, ja, desca, b, ib, jb, descb, w, z, iz, jz, descz, il, iu, info)

Generalized eigensolver for a distributed single-precision symmetric-definite eigenproblem of the form $\mathbf{A}\mathbf{x} = \lambda\mathbf{B}\mathbf{x}.$

Arguments

Type	Intent	Attributes		Name
character(len=1),	intent(in)		::	uplo	Indicates whether the upper (`"U"`) or lower (`"L"`) triangular part of the global sub-matrix $\mathbf{A}$ is referenced. Read more…
integer,	intent(in)		::	n	Order of the matrix sub-matrix $\mathbf{A}$ used in the computation.
real(kind=sp),	intent(inout),	dimension(:, :), target	::	a	Local part of the global matrix $\mathbf{A}$ .
integer,	intent(in)		::	ia	Row index of the global matrix identifying the first row of the sub-matrix $\mathbf{A}$ . Read more…
integer,	intent(in)		::	ja	Column index of the global matrix identifying the first column of the sub-matrix $\mathbf{A}$ . Read more…
integer,	intent(in),	dimension(9)	::	desca	ScaLAPACK descriptor of the global matrix $\mathbf{A}$ .
real(kind=sp),	intent(inout),	dimension(:, :), target	::	b	Local part of the global matrix $\mathbf{B}$ .
integer,	intent(in)		::	ib	Row index of the global matrix identifying the first row of the sub-matrix $\mathbf{B}$ . Read more…
integer,	intent(in)		::	jb	Column index of the global matrix identifying the first column of the sub-matrix $\mathbf{B}$ . Read more…
integer,	intent(in),	dimension(9)	::	descb	ScaLAPACK descriptor of the global matrix $\mathbf{B}$ .
real(kind=sp),	intent(out),	dimension(:), target	::	w	Local (non-distributed) vector of eigenvalues.
real(kind=sp),	intent(inout),	dimension(:, :), target	::	z	Local part of the global matrix $\mathbf{Z}$ .
integer,	intent(in)		::	iz	Row index in the global matrix identifying the first row of the sub-matrix $\mathbf{Z}$ . Read more…
integer,	intent(in)		::	jz	Column index in the global matrix identifying the first column of the sub-matrix $\mathbf{Z}$ . Read more…
integer,	intent(in),	dimension(9)	::	descz	ScaLAPACK descriptor of the global matrix $\mathbf{Z}$ .
integer(kind=i8),	intent(in)		::	il	Index (from smallest to largest) of the smallest eigenvector to be computed. Read more…
integer(kind=i8),	intent(in)		::	iu	Index (from smallest to largest) of the largest eigenvector to be computed.
integer,	intent(out),	target	::	info	`0` if the function completed successfully.

public subroutine dlaf_pssygvd_factorized(uplo, n, a, ia, ja, desca, b, ib, jb, descb, w, z, iz, jz, descz, info)

Generalized eigensolver for a distributed single-precision symmetric-definite eigenproblem of the form $\mathbf{A}\mathbf{x} = \lambda\mathbf{B}\mathbf{x}.$

Arguments

Type	Intent	Attributes		Name
character(len=1),	intent(in)		::	uplo	Indicates whether the upper (`"U"`) or lower (`"L"`) triangular part of the global sub-matrix $\mathbf{A}$ is referenced. Read more…
integer,	intent(in)		::	n	Order of the matrix sub-matrix $\mathbf{A}$ used in the computation.
real(kind=sp),	intent(inout),	dimension(:, :), target	::	a	Local part of the global matrix $\mathbf{A}$ .
integer,	intent(in)		::	ia	Row index of the global matrix identifying the first row of the sub-matrix $\mathbf{A}$ . Read more…
integer,	intent(in)		::	ja	Column index of the global matrix identifying the first column of the sub-matrix $\mathbf{A}$ . Read more…
integer,	intent(in),	dimension(9)	::	desca	ScaLAPACK descriptor of the global matrix $\mathbf{A}$ .
real(kind=sp),	intent(inout),	dimension(:, :), target	::	b	Local part of the global matrix $\mathbf{B}$ .
integer,	intent(in)		::	ib	Row index of the global matrix identifying the first row of the sub-matrix $\mathbf{B}$ . Read more…
integer,	intent(in)		::	jb	Column index of the global matrix identifying the first column of the sub-matrix $\mathbf{B}$ . Read more…
integer,	intent(in),	dimension(9)	::	descb	ScaLAPACK descriptor of the global matrix $\mathbf{B}$ .
real(kind=sp),	intent(out),	dimension(:), target	::	w	Local (non-distributed) vector of eigenvalues.
real(kind=sp),	intent(inout),	dimension(:, :), target	::	z	Local part of the global matrix $\mathbf{Z}$ .
integer,	intent(in)		::	iz	Row index in the global matrix identifying the first row of the sub-matrix $\mathbf{Z}$ . Read more…
integer,	intent(in)		::	jz	Column index in the global matrix identifying the first column of the sub-matrix $\mathbf{Z}$ . Read more…
integer,	intent(in),	dimension(9)	::	descz	ScaLAPACK descriptor of the global matrix $\mathbf{Z}$ .
integer,	intent(out),	target	::	info	`0` if the function completed successfully.

public subroutine dlaf_pssygvd_partial_spectrum_factorized(uplo, n, a, ia, ja, desca, b, ib, jb, descb, w, z, iz, jz, descz, il, iu, info)

Generalized eigensolver for a distributed single-precision symmetric-definite eigenproblem of the form $\mathbf{A}\mathbf{x} = \lambda\mathbf{B}\mathbf{x}.$

Arguments

Type	Intent	Attributes		Name
character(len=1),	intent(in)		::	uplo	Indicates whether the upper (`"U"`) or lower (`"L"`) triangular part of the global sub-matrix $\mathbf{A}$ is referenced. Read more…
integer,	intent(in)		::	n	Order of the matrix sub-matrix $\mathbf{A}$ used in the computation.
real(kind=sp),	intent(inout),	dimension(:, :), target	::	a	Local part of the global matrix $\mathbf{A}$ .
integer,	intent(in)		::	ia	Row index of the global matrix identifying the first row of the sub-matrix $\mathbf{A}$ . Read more…
integer,	intent(in)		::	ja	Column index of the global matrix identifying the first column of the sub-matrix $\mathbf{A}$ . Read more…
integer,	intent(in),	dimension(9)	::	desca	ScaLAPACK descriptor of the global matrix $\mathbf{A}$ .
real(kind=sp),	intent(inout),	dimension(:, :), target	::	b	Local part of the global matrix $\mathbf{B}$ .
integer,	intent(in)		::	ib	Row index of the global matrix identifying the first row of the sub-matrix $\mathbf{B}$ . Read more…
integer,	intent(in)		::	jb	Column index of the global matrix identifying the first column of the sub-matrix $\mathbf{B}$ . Read more…
integer,	intent(in),	dimension(9)	::	descb	ScaLAPACK descriptor of the global matrix $\mathbf{B}$ .
real(kind=sp),	intent(out),	dimension(:), target	::	w	Local (non-distributed) vector of eigenvalues.
real(kind=sp),	intent(inout),	dimension(:, :), target	::	z	Local part of the global matrix $\mathbf{Z}$ .
integer,	intent(in)		::	iz	Row index in the global matrix identifying the first row of the sub-matrix $\mathbf{Z}$ . Read more…
integer,	intent(in)		::	jz	Column index in the global matrix identifying the first column of the sub-matrix $\mathbf{Z}$ . Read more…
integer,	intent(in),	dimension(9)	::	descz	ScaLAPACK descriptor of the global matrix $\mathbf{Z}$ .
integer(kind=i8),	intent(in)		::	il	Index (from smallest to largest) of the smallest eigenvector to be computed. Read more…
integer(kind=i8),	intent(in)		::	iu	Index (from smallest to largest) of the largest eigenvector to be computed.
integer,	intent(out),	target	::	info	`0` if the function completed successfully.

public subroutine dlaf_pdsygvd(uplo, n, a, ia, ja, desca, b, ib, jb, descb, w, z, iz, jz, descz, info)

Generalized eigensolver for a distributed double-precision symmetric-definite eigenproblem of the form $\mathbf{A}\mathbf{x} = \lambda\mathbf{B}\mathbf{x}.$

Arguments

Type	Intent	Attributes		Name
character(len=1),	intent(in)		::	uplo	Indicates whether the upper (`"U"`) or lower (`"L"`) triangular part of the global sub-matrix $\mathbf{A}$ is referenced. Read more…
integer,	intent(in)		::	n	Order of the matrix sub-matrix $\mathbf{A}$ used in the computation.
real(kind=dp),	intent(inout),	dimension(:, :), target	::	a	Local part of the global matrix $\mathbf{A}$ .
integer,	intent(in)		::	ia	Row index of the global matrix identifying the first row of the sub-matrix $\mathbf{A}$ . Read more…
integer,	intent(in)		::	ja	Column index of the global matrix identifying the first column of the sub-matrix $\mathbf{A}$ . Read more…
integer,	intent(in),	dimension(9)	::	desca	ScaLAPACK descriptor of the global matrix $\mathbf{A}$ .
real(kind=dp),	intent(inout),	dimension(:, :), target	::	b	Local part of the global matrix $\mathbf{B}$ .
integer,	intent(in)		::	ib	Row index of the global matrix identifying the first row of the sub-matrix $\mathbf{B}$ . Read more…
integer,	intent(in)		::	jb	Column index of the global matrix identifying the first column of the sub-matrix $\mathbf{B}$ . Read more…
integer,	intent(in),	dimension(9)	::	descb	ScaLAPACK descriptor of the global matrix $\mathbf{B}$ .
real(kind=dp),	intent(out),	dimension(:), target	::	w	Local (non-distributed) vector of eigenvalues.
real(kind=dp),	intent(inout),	dimension(:, :), target	::	z	Local part of the global matrix $\mathbf{Z}$ .
integer,	intent(in)		::	iz	Row index in the global matrix identifying the first row of the sub-matrix $\mathbf{Z}$ . Read more…
integer,	intent(in)		::	jz	Column index in the global matrix identifying the first column of the sub-matrix $\mathbf{Z}$ . Read more…
integer,	intent(in),	dimension(9)	::	descz	ScaLAPACK descriptor of the global matrix $\mathbf{Z}$ .
integer,	intent(out),	target	::	info	`0` if the function completed successfully.

public subroutine dlaf_pdsygvd_partial_spectrum(uplo, n, a, ia, ja, desca, b, ib, jb, descb, w, z, iz, jz, descz, il, iu, info)

Generalized eigensolver for a distributed double-precision symmetric-definite eigenproblem of the form $\mathbf{A}\mathbf{x} = \lambda\mathbf{B}\mathbf{x}.$

Arguments

Type	Intent	Attributes		Name
character(len=1),	intent(in)		::	uplo	Indicates whether the upper (`"U"`) or lower (`"L"`) triangular part of the global sub-matrix $\mathbf{A}$ is referenced. Read more…
integer,	intent(in)		::	n	Order of the matrix sub-matrix $\mathbf{A}$ used in the computation.
real(kind=dp),	intent(inout),	dimension(:, :), target	::	a	Local part of the global matrix $\mathbf{A}$ .
integer,	intent(in)		::	ia	Row index of the global matrix identifying the first row of the sub-matrix $\mathbf{A}$ . Read more…
integer,	intent(in)		::	ja	Column index of the global matrix identifying the first column of the sub-matrix $\mathbf{A}$ . Read more…
integer,	intent(in),	dimension(9)	::	desca	ScaLAPACK descriptor of the global matrix $\mathbf{A}$ .
real(kind=dp),	intent(inout),	dimension(:, :), target	::	b	Local part of the global matrix $\mathbf{B}$ .
integer,	intent(in)		::	ib	Row index of the global matrix identifying the first row of the sub-matrix $\mathbf{B}$ . Read more…
integer,	intent(in)		::	jb	Column index of the global matrix identifying the first column of the sub-matrix $\mathbf{B}$ . Read more…
integer,	intent(in),	dimension(9)	::	descb	ScaLAPACK descriptor of the global matrix $\mathbf{B}$ .
real(kind=dp),	intent(out),	dimension(:), target	::	w	Local (non-distributed) vector of eigenvalues.
real(kind=dp),	intent(inout),	dimension(:, :), target	::	z	Local part of the global matrix $\mathbf{Z}$ .
integer,	intent(in)		::	iz	Row index in the global matrix identifying the first row of the sub-matrix $\mathbf{Z}$ . Read more…
integer,	intent(in)		::	jz	Column index in the global matrix identifying the first column of the sub-matrix $\mathbf{Z}$ . Read more…
integer,	intent(in),	dimension(9)	::	descz	ScaLAPACK descriptor of the global matrix $\mathbf{Z}$ .
integer(kind=i8),	intent(in)		::	il	Index (from smallest to largest) of the smallest eigenvector to be computed. Read more…
integer(kind=i8),	intent(in)		::	iu	Index (from smallest to largest) of the largest eigenvector to be computed.
integer,	intent(out),	target	::	info	`0` if the function completed successfully.

public subroutine dlaf_pdsygvd_factorized(uplo, n, a, ia, ja, desca, b, ib, jb, descb, w, z, iz, jz, descz, info)

Generalized eigensolver for a distributed double-precision symmetric-definite eigenproblem of the form $\mathbf{A}\mathbf{x} = \lambda\mathbf{B}\mathbf{x}.$

Arguments

Type	Intent	Attributes		Name
character(len=1),	intent(in)		::	uplo	Indicates whether the upper (`"U"`) or lower (`"L"`) triangular part of the global sub-matrix $\mathbf{A}$ is referenced. Read more…
integer,	intent(in)		::	n	Order of the matrix sub-matrix $\mathbf{A}$ used in the computation.
real(kind=dp),	intent(inout),	dimension(:, :), target	::	a	Local part of the global matrix $\mathbf{A}$ .
integer,	intent(in)		::	ia	Row index of the global matrix identifying the first row of the sub-matrix $\mathbf{A}$ . Read more…
integer,	intent(in)		::	ja	Column index of the global matrix identifying the first column of the sub-matrix $\mathbf{A}$ . Read more…
integer,	intent(in),	dimension(9)	::	desca	ScaLAPACK descriptor of the global matrix $\mathbf{A}$ .
real(kind=dp),	intent(inout),	dimension(:, :), target	::	b	Local part of the global matrix $\mathbf{B}$ .
integer,	intent(in)		::	ib	Row index of the global matrix identifying the first row of the sub-matrix $\mathbf{B}$ . Read more…
integer,	intent(in)		::	jb	Column index of the global matrix identifying the first column of the sub-matrix $\mathbf{B}$ . Read more…
integer,	intent(in),	dimension(9)	::	descb	ScaLAPACK descriptor of the global matrix $\mathbf{B}$ .
real(kind=dp),	intent(out),	dimension(:), target	::	w	Local (non-distributed) vector of eigenvalues.
real(kind=dp),	intent(inout),	dimension(:, :), target	::	z	Local part of the global matrix $\mathbf{Z}$ .
integer,	intent(in)		::	iz	Row index in the global matrix identifying the first row of the sub-matrix $\mathbf{Z}$ . Read more…
integer,	intent(in)		::	jz	Column index in the global matrix identifying the first column of the sub-matrix $\mathbf{Z}$ . Read more…
integer,	intent(in),	dimension(9)	::	descz	ScaLAPACK descriptor of the global matrix $\mathbf{Z}$ .
integer,	intent(out),	target	::	info	`0` if the function completed successfully.

public subroutine dlaf_pdsygvd_partial_spectrum_factorized(uplo, n, a, ia, ja, desca, b, ib, jb, descb, w, z, iz, jz, descz, il, iu, info)

Generalized eigensolver for a distributed double-precision symmetric-definite eigenproblem of the form $\mathbf{A}\mathbf{x} = \lambda\mathbf{B}\mathbf{x}.$

Arguments

Type	Intent	Attributes		Name
character(len=1),	intent(in)		::	uplo	Indicates whether the upper (`"U"`) or lower (`"L"`) triangular part of the global sub-matrix $\mathbf{A}$ is referenced. Read more…
integer,	intent(in)		::	n	Order of the matrix sub-matrix $\mathbf{A}$ used in the computation.
real(kind=dp),	intent(inout),	dimension(:, :), target	::	a	Local part of the global matrix $\mathbf{A}$ .
integer,	intent(in)		::	ia	Row index of the global matrix identifying the first row of the sub-matrix $\mathbf{A}$ . Read more…
integer,	intent(in)		::	ja	Column index of the global matrix identifying the first column of the sub-matrix $\mathbf{A}$ . Read more…
integer,	intent(in),	dimension(9)	::	desca	ScaLAPACK descriptor of the global matrix $\mathbf{A}$ .
real(kind=dp),	intent(inout),	dimension(:, :), target	::	b	Local part of the global matrix $\mathbf{B}$ .
integer,	intent(in)		::	ib	Row index of the global matrix identifying the first row of the sub-matrix $\mathbf{B}$ . Read more…
integer,	intent(in)		::	jb	Column index of the global matrix identifying the first column of the sub-matrix $\mathbf{B}$ . Read more…
integer,	intent(in),	dimension(9)	::	descb	ScaLAPACK descriptor of the global matrix $\mathbf{B}$ .
real(kind=dp),	intent(out),	dimension(:), target	::	w	Local (non-distributed) vector of eigenvalues.
real(kind=dp),	intent(inout),	dimension(:, :), target	::	z	Local part of the global matrix $\mathbf{Z}$ .
integer,	intent(in)		::	iz	Row index in the global matrix identifying the first row of the sub-matrix $\mathbf{Z}$ . Read more…
integer,	intent(in)		::	jz	Column index in the global matrix identifying the first column of the sub-matrix $\mathbf{Z}$ . Read more…
integer,	intent(in),	dimension(9)	::	descz	ScaLAPACK descriptor of the global matrix $\mathbf{Z}$ .
integer(kind=i8),	intent(in)		::	il	Index (from smallest to largest) of the smallest eigenvector to be computed. Read more…
integer(kind=i8),	intent(in)		::	iu	Index (from smallest to largest) of the largest eigenvector to be computed.
integer,	intent(out),	target	::	info	`0` if the function completed successfully.

public subroutine dlaf_pchegvd(uplo, n, a, ia, ja, desca, b, ib, jb, descb, w, z, iz, jz, descz, info)

Generalized eigensolver for a distributed single-precision Hermitian eigenproblem of the form $\mathbf{A}\mathbf{x} = \lambda\mathbf{B}\mathbf{x}.$

Arguments

Type	Intent	Attributes		Name
character(len=1),	intent(in)		::	uplo	Indicates whether the upper (`"U"`) or lower (`"L"`) triangular part of the global sub-matrix $\mathbf{A}$ is referenced. Read more…
integer,	intent(in)		::	n	Order of the matrix sub-matrix $\mathbf{A}$ used in the computation.
complex(kind=sp),	intent(inout),	dimension(:, :), target	::	a	Local part of the global matrix $\mathbf{A}$ .
integer,	intent(in)		::	ia	Row index of the global matrix identifying the first row of the sub-matrix $\mathbf{A}$ . Read more…
integer,	intent(in)		::	ja	Column index of the global matrix identifying the first column of the sub-matrix $\mathbf{A}$ . Read more…
integer,	intent(in),	dimension(9)	::	desca	ScaLAPACK descriptor of the global matrix $\mathbf{A}$ .
complex(kind=sp),	intent(inout),	dimension(:, :), target	::	b	Local part of the global matrix $\mathbf{B}$ .
integer,	intent(in)		::	ib	Row index of the global matrix identifying the first row of the sub-matrix $\mathbf{B}$ . Read more…
integer,	intent(in)		::	jb	Column index of the global matrix identifying the first column of the sub-matrix $\mathbf{B}$ . Read more…
integer,	intent(in),	dimension(9)	::	descb	ScaLAPACK descriptor of the global matrix $\mathbf{B}$ .
real(kind=sp),	intent(out),	dimension(:), target	::	w	Local (non-distributed) vector of eigenvalues.
complex(kind=sp),	intent(inout),	dimension(:, :), target	::	z	Local part of the global matrix $\mathbf{Z}$ .
integer,	intent(in)		::	iz	Row index in the global matrix identifying the first row of the sub-matrix $\mathbf{Z}$ . Read more…
integer,	intent(in)		::	jz	Column index in the global matrix identifying the first column of the sub-matrix $\mathbf{Z}$ . Read more…
integer,	intent(in),	dimension(9)	::	descz	ScaLAPACK descriptor of the global matrix $\mathbf{Z}$ .
integer,	intent(out),	target	::	info	`0` if the function completed successfully.

public subroutine dlaf_pchegvd_partial_spectrum(uplo, n, a, ia, ja, desca, b, ib, jb, descb, w, z, iz, jz, descz, il, iu, info)

Generalized eigensolver for a distributed single-precision Hermitian eigenproblem of the form $\mathbf{A}\mathbf{x} = \lambda\mathbf{B}\mathbf{x}.$

Arguments

Type	Intent	Attributes		Name
character(len=1),	intent(in)		::	uplo	Indicates whether the upper (`"U"`) or lower (`"L"`) triangular part of the global sub-matrix $\mathbf{A}$ is referenced. Read more…
integer,	intent(in)		::	n	Order of the matrix sub-matrix $\mathbf{A}$ used in the computation.
complex(kind=sp),	intent(inout),	dimension(:, :), target	::	a	Local part of the global matrix $\mathbf{A}$ .
integer,	intent(in)		::	ia	Row index of the global matrix identifying the first row of the sub-matrix $\mathbf{A}$ . Read more…
integer,	intent(in)		::	ja	Column index of the global matrix identifying the first column of the sub-matrix $\mathbf{A}$ . Read more…
integer,	intent(in),	dimension(9)	::	desca	ScaLAPACK descriptor of the global matrix $\mathbf{A}$ .
complex(kind=sp),	intent(inout),	dimension(:, :), target	::	b	Local part of the global matrix $\mathbf{B}$ .
integer,	intent(in)		::	ib	Row index of the global matrix identifying the first row of the sub-matrix $\mathbf{B}$ . Read more…
integer,	intent(in)		::	jb	Column index of the global matrix identifying the first column of the sub-matrix $\mathbf{B}$ . Read more…
integer,	intent(in),	dimension(9)	::	descb	ScaLAPACK descriptor of the global matrix $\mathbf{B}$ .
real(kind=sp),	intent(out),	dimension(:), target	::	w	Local (non-distributed) vector of eigenvalues.
complex(kind=sp),	intent(inout),	dimension(:, :), target	::	z	Local part of the global matrix $\mathbf{Z}$ .
integer,	intent(in)		::	iz	Row index in the global matrix identifying the first row of the sub-matrix $\mathbf{Z}$ . Read more…
integer,	intent(in)		::	jz	Column index in the global matrix identifying the first column of the sub-matrix $\mathbf{Z}$ . Read more…
integer,	intent(in),	dimension(9)	::	descz	ScaLAPACK descriptor of the global matrix $\mathbf{Z}$ .
integer(kind=i8),	intent(in)		::	il	Index (from smallest to largest) of the smallest eigenvector to be computed. Read more…
integer(kind=i8),	intent(in)		::	iu	Index (from smallest to largest) of the largest eigenvector to be computed.
integer,	intent(out),	target	::	info	`0` if the function completed successfully.

public subroutine dlaf_pchegvd_factorized(uplo, n, a, ia, ja, desca, b, ib, jb, descb, w, z, iz, jz, descz, info)

Generalized eigensolver for a distributed single-precision Hermitian eigenproblem of the form $\mathbf{A}\mathbf{x} = \lambda\mathbf{B}\mathbf{x}.$

Arguments

Type	Intent	Attributes		Name
character(len=1),	intent(in)		::	uplo	Indicates whether the upper (`"U"`) or lower (`"L"`) triangular part of the global sub-matrix $\mathbf{A}$ is referenced. Read more…
integer,	intent(in)		::	n	Order of the matrix sub-matrix $\mathbf{A}$ used in the computation.
complex(kind=sp),	intent(inout),	dimension(:, :), target	::	a	Local part of the global matrix $\mathbf{A}$ .
integer,	intent(in)		::	ia	Row index of the global matrix identifying the first row of the sub-matrix $\mathbf{A}$ . Read more…
integer,	intent(in)		::	ja	Column index of the global matrix identifying the first column of the sub-matrix $\mathbf{A}$ . Read more…
integer,	intent(in),	dimension(9)	::	desca	ScaLAPACK descriptor of the global matrix $\mathbf{A}$ .
complex(kind=sp),	intent(inout),	dimension(:, :), target	::	b	Local part of the global matrix $\mathbf{B}$ .
integer,	intent(in)		::	ib	Row index of the global matrix identifying the first row of the sub-matrix $\mathbf{B}$ . Read more…
integer,	intent(in)		::	jb	Column index of the global matrix identifying the first column of the sub-matrix $\mathbf{B}$ . Read more…
integer,	intent(in),	dimension(9)	::	descb	ScaLAPACK descriptor of the global matrix $\mathbf{B}$ .
real(kind=sp),	intent(out),	dimension(:), target	::	w	Local (non-distributed) vector of eigenvalues.
complex(kind=sp),	intent(inout),	dimension(:, :), target	::	z	Local part of the global matrix $\mathbf{Z}$ .
integer,	intent(in)		::	iz	Row index in the global matrix identifying the first row of the sub-matrix $\mathbf{Z}$ . Read more…
integer,	intent(in)		::	jz	Column index in the global matrix identifying the first column of the sub-matrix $\mathbf{Z}$ . Read more…
integer,	intent(in),	dimension(9)	::	descz	ScaLAPACK descriptor of the global matrix $\mathbf{Z}$ .
integer,	intent(out),	target	::	info	`0` if the function completed successfully.

public subroutine dlaf_pchegvd_partial_spectrum_factorized(uplo, n, a, ia, ja, desca, b, ib, jb, descb, w, z, iz, jz, descz, il, iu, info)

Generalized eigensolver for a distributed single-precision Hermitian eigenproblem of the form $\mathbf{A}\mathbf{x} = \lambda\mathbf{B}\mathbf{x}.$

Arguments

Type	Intent	Attributes		Name
character(len=1),	intent(in)		::	uplo	Indicates whether the upper (`"U"`) or lower (`"L"`) triangular part of the global sub-matrix $\mathbf{A}$ is referenced. Read more…
integer,	intent(in)		::	n	Order of the matrix sub-matrix $\mathbf{A}$ used in the computation.
complex(kind=sp),	intent(inout),	dimension(:, :), target	::	a	Local part of the global matrix $\mathbf{A}$ .
integer,	intent(in)		::	ia	Row index of the global matrix identifying the first row of the sub-matrix $\mathbf{A}$ . Read more…
integer,	intent(in)		::	ja	Column index of the global matrix identifying the first column of the sub-matrix $\mathbf{A}$ . Read more…
integer,	intent(in),	dimension(9)	::	desca	ScaLAPACK descriptor of the global matrix $\mathbf{A}$ .
complex(kind=sp),	intent(inout),	dimension(:, :), target	::	b	Local part of the global matrix $\mathbf{B}$ .
integer,	intent(in)		::	ib	Row index of the global matrix identifying the first row of the sub-matrix $\mathbf{B}$ . Read more…
integer,	intent(in)		::	jb	Column index of the global matrix identifying the first column of the sub-matrix $\mathbf{B}$ . Read more…
integer,	intent(in),	dimension(9)	::	descb	ScaLAPACK descriptor of the global matrix $\mathbf{B}$ .
real(kind=sp),	intent(out),	dimension(:), target	::	w	Local (non-distributed) vector of eigenvalues.
complex(kind=sp),	intent(inout),	dimension(:, :), target	::	z	Local part of the global matrix $\mathbf{Z}$ .
integer,	intent(in)		::	iz	Row index in the global matrix identifying the first row of the sub-matrix $\mathbf{Z}$ . Read more…
integer,	intent(in)		::	jz	Column index in the global matrix identifying the first column of the sub-matrix $\mathbf{Z}$ . Read more…
integer,	intent(in),	dimension(9)	::	descz	ScaLAPACK descriptor of the global matrix $\mathbf{Z}$ .
integer(kind=i8),	intent(in)		::	il	Index (from smallest to largest) of the smallest eigenvector to be computed. Read more…
integer(kind=i8),	intent(in)		::	iu	Index (from smallest to largest) of the largest eigenvector to be computed.
integer,	intent(out),	target	::	info	`0` if the function completed successfully.

public subroutine dlaf_pzhegvd(uplo, n, a, ia, ja, desca, b, ib, jb, descb, w, z, iz, jz, descz, info)

Generalized eigensolver for a distributed double-precision Hermitian eigenproblem of the form $\mathbf{A}\mathbf{x} = \lambda\mathbf{B}\mathbf{x}.$

Arguments

Type	Intent	Attributes		Name
character(len=1),	intent(in)		::	uplo	Indicates whether the upper (`"U"`) or lower (`"L"`) triangular part of the global sub-matrix $\mathbf{A}$ is referenced. Read more…
integer,	intent(in)		::	n	Order of the matrix sub-matrix $\mathbf{A}$ used in the computation.
complex(kind=dp),	intent(inout),	dimension(:, :), target	::	a	Local part of the global matrix $\mathbf{A}$ .
integer,	intent(in)		::	ia	Row index of the global matrix identifying the first row of the sub-matrix $\mathbf{A}$ . Read more…
integer,	intent(in)		::	ja	Column index of the global matrix identifying the first column of the sub-matrix $\mathbf{A}$ . Read more…
integer,	intent(in),	dimension(9)	::	desca	ScaLAPACK descriptor of the global matrix $\mathbf{A}$ .
complex(kind=dp),	intent(inout),	dimension(:, :), target	::	b	Local part of the global matrix $\mathbf{B}$ .
integer,	intent(in)		::	ib	Row index of the global matrix identifying the first row of the sub-matrix $\mathbf{B}$ . Read more…
integer,	intent(in)		::	jb	Column index of the global matrix identifying the first column of the sub-matrix $\mathbf{B}$ . Read more…
integer,	intent(in),	dimension(9)	::	descb	ScaLAPACK descriptor of the global matrix $\mathbf{B}$ .
real(kind=dp),	intent(out),	dimension(:), target	::	w	Local (non-distributed) vector of eigenvalues.
complex(kind=dp),	intent(inout),	dimension(:, :), target	::	z	Local part of the global matrix $\mathbf{Z}$ .
integer,	intent(in)		::	iz	Row index in the global matrix identifying the first row of the sub-matrix $\mathbf{Z}$ . Read more…
integer,	intent(in)		::	jz	Column index in the global matrix identifying the first column of the sub-matrix $\mathbf{Z}$ . Read more…
integer,	intent(in),	dimension(9)	::	descz	ScaLAPACK descriptor of the global matrix $\mathbf{Z}$ .
integer,	intent(out),	target	::	info	`0` if the function completed successfully.

public subroutine dlaf_pzhegvd_partial_spectrum(uplo, n, a, ia, ja, desca, b, ib, jb, descb, w, z, iz, jz, descz, il, iu, info)

Generalized eigensolver for a distributed double-precision Hermitian eigenproblem of the form $\mathbf{A}\mathbf{x} = \lambda\mathbf{B}\mathbf{x}.$

Arguments

Type	Intent	Attributes		Name
character(len=1),	intent(in)		::	uplo	Indicates whether the upper (`"U"`) or lower (`"L"`) triangular part of the global sub-matrix $\mathbf{A}$ is referenced. Read more…
integer,	intent(in)		::	n	Order of the matrix sub-matrix $\mathbf{A}$ used in the computation.
complex(kind=dp),	intent(inout),	dimension(:, :), target	::	a	Local part of the global matrix $\mathbf{A}$ .
integer,	intent(in)		::	ia	Row index of the global matrix identifying the first row of the sub-matrix $\mathbf{A}$ . Read more…
integer,	intent(in)		::	ja	Column index of the global matrix identifying the first column of the sub-matrix $\mathbf{A}$ . Read more…
integer,	intent(in),	dimension(9)	::	desca	ScaLAPACK descriptor of the global matrix $\mathbf{A}$ .
complex(kind=dp),	intent(inout),	dimension(:, :), target	::	b	Local part of the global matrix $\mathbf{B}$ .
integer,	intent(in)		::	ib	Row index of the global matrix identifying the first row of the sub-matrix $\mathbf{B}$ . Read more…
integer,	intent(in)		::	jb	Column index of the global matrix identifying the first column of the sub-matrix $\mathbf{B}$ . Read more…
integer,	intent(in),	dimension(9)	::	descb	ScaLAPACK descriptor of the global matrix $\mathbf{B}$ .
real(kind=dp),	intent(out),	dimension(:), target	::	w	Local (non-distributed) vector of eigenvalues.
complex(kind=dp),	intent(inout),	dimension(:, :), target	::	z	Local part of the global matrix $\mathbf{Z}$ .
integer,	intent(in)		::	iz	Row index in the global matrix identifying the first row of the sub-matrix $\mathbf{Z}$ . Read more…
integer,	intent(in)		::	jz	Column index in the global matrix identifying the first column of the sub-matrix $\mathbf{Z}$ . Read more…
integer,	intent(in),	dimension(9)	::	descz	ScaLAPACK descriptor of the global matrix $\mathbf{Z}$ .
integer(kind=i8),	intent(in)		::	il	Index (from smallest to largest) of the smallest eigenvector to be computed. Read more…
integer(kind=i8),	intent(in)		::	iu	Index (from smallest to largest) of the largest eigenvector to be computed.
integer,	intent(out),	target	::	info	`0` if the function completed successfully.

public subroutine dlaf_pzhegvd_factorized(uplo, n, a, ia, ja, desca, b, ib, jb, descb, w, z, iz, jz, descz, info)

Generalized eigensolver for a distributed double-precision Hermitian eigenproblem of the form $\mathbf{A}\mathbf{x} = \lambda\mathbf{B}\mathbf{x}.$

Arguments

Type	Intent	Attributes		Name
character(len=1),	intent(in)		::	uplo	Indicates whether the upper (`"U"`) or lower (`"L"`) triangular part of the global sub-matrix $\mathbf{A}$ is referenced. Read more…
integer,	intent(in)		::	n	Order of the matrix sub-matrix $\mathbf{A}$ used in the computation.
complex(kind=dp),	intent(inout),	dimension(:, :), target	::	a	Local part of the global matrix $\mathbf{A}$ .
integer,	intent(in)		::	ia	Row index of the global matrix identifying the first row of the sub-matrix $\mathbf{A}$ . Read more…
integer,	intent(in)		::	ja	Column index of the global matrix identifying the first column of the sub-matrix $\mathbf{A}$ . Read more…
integer,	intent(in),	dimension(9)	::	desca	ScaLAPACK descriptor of the global matrix $\mathbf{A}$ .
complex(kind=dp),	intent(inout),	dimension(:, :), target	::	b	Local part of the global matrix $\mathbf{B}$ .
integer,	intent(in)		::	ib	Row index of the global matrix identifying the first row of the sub-matrix $\mathbf{B}$ . Read more…
integer,	intent(in)		::	jb	Column index of the global matrix identifying the first column of the sub-matrix $\mathbf{B}$ . Read more…
integer,	intent(in),	dimension(9)	::	descb	ScaLAPACK descriptor of the global matrix $\mathbf{B}$ .
real(kind=dp),	intent(out),	dimension(:), target	::	w	Local (non-distributed) vector of eigenvalues.
complex(kind=dp),	intent(inout),	dimension(:, :), target	::	z	Local part of the global matrix $\mathbf{Z}$ .
integer,	intent(in)		::	iz	Row index in the global matrix identifying the first row of the sub-matrix $\mathbf{Z}$ . Read more…
integer,	intent(in)		::	jz	Column index in the global matrix identifying the first column of the sub-matrix $\mathbf{Z}$ . Read more…
integer,	intent(in),	dimension(9)	::	descz	ScaLAPACK descriptor of the global matrix $\mathbf{Z}$ .
integer,	intent(out),	target	::	info	`0` if the function completed successfully.

public subroutine dlaf_pzhegvd_partial_spectrum_factorized(uplo, n, a, ia, ja, desca, b, ib, jb, descb, w, z, iz, jz, descz, il, iu, info)

Generalized eigensolver for a distributed double-precision Hermitian eigenproblem of the form $\mathbf{A}\mathbf{x} = \lambda\mathbf{B}\mathbf{x}.$

Arguments

Type	Intent	Attributes		Name
character(len=1),	intent(in)		::	uplo	Indicates whether the upper (`"U"`) or lower (`"L"`) triangular part of the global sub-matrix $\mathbf{A}$ is referenced. Read more…
integer,	intent(in)		::	n	Order of the matrix sub-matrix $\mathbf{A}$ used in the computation.
complex(kind=dp),	intent(inout),	dimension(:, :), target	::	a	Local part of the global matrix $\mathbf{A}$ .
integer,	intent(in)		::	ia	Row index of the global matrix identifying the first row of the sub-matrix $\mathbf{A}$ . Read more…
integer,	intent(in)		::	ja	Column index of the global matrix identifying the first column of the sub-matrix $\mathbf{A}$ . Read more…
integer,	intent(in),	dimension(9)	::	desca	ScaLAPACK descriptor of the global matrix $\mathbf{A}$ .
complex(kind=dp),	intent(inout),	dimension(:, :), target	::	b	Local part of the global matrix $\mathbf{B}$ .
integer,	intent(in)		::	ib	Row index of the global matrix identifying the first row of the sub-matrix $\mathbf{B}$ . Read more…
integer,	intent(in)		::	jb	Column index of the global matrix identifying the first column of the sub-matrix $\mathbf{B}$ . Read more…
integer,	intent(in),	dimension(9)	::	descb	ScaLAPACK descriptor of the global matrix $\mathbf{B}$ .
real(kind=dp),	intent(out),	dimension(:), target	::	w	Local (non-distributed) vector of eigenvalues.
complex(kind=dp),	intent(inout),	dimension(:, :), target	::	z	Local part of the global matrix $\mathbf{Z}$ .
integer,	intent(in)		::	iz	Row index in the global matrix identifying the first row of the sub-matrix $\mathbf{Z}$ . Read more…
integer,	intent(in)		::	jz	Column index in the global matrix identifying the first column of the sub-matrix $\mathbf{Z}$ . Read more…
integer,	intent(in),	dimension(9)	::	descz	ScaLAPACK descriptor of the global matrix $\mathbf{Z}$ .
integer(kind=i8),	intent(in)		::	il	Index (from smallest to largest) of the smallest eigenvector to be computed. Read more…
integer(kind=i8),	intent(in)		::	iu	Index (from smallest to largest) of the largest eigenvector to be computed.
integer,	intent(out),	target	::	info	`0` if the function completed successfully.

dlaf_fortran Module

Contents

Subroutines

Uses

Subroutines

public subroutine dlaf_initialize()

Arguments

public subroutine dlaf_finalize()

Arguments

public subroutine dlaf_create_grid_from_blacs(blacs_context)

Arguments

public subroutine dlaf_free_grid(blacs_context)

Arguments

public subroutine dlaf_pspotrf(uplo, n, a, ia, ja, desca, info)

Arguments

public subroutine dlaf_pdpotrf(uplo, n, a, ia, ja, desca, info)

Arguments

public subroutine dlaf_pcpotrf(uplo, n, a, ia, ja, desca, info)

Arguments

public subroutine dlaf_pzpotrf(uplo, n, a, ia, ja, desca, info)

Arguments

public subroutine dlaf_pssyevd(uplo, n, a, ia, ja, desca, w, z, iz, jz, descz, info)

Arguments

public subroutine dlaf_pssyevd_partial_spectrum(uplo, n, a, ia, ja, desca, w, z, iz, jz, descz, il, iu, info)

Arguments

public subroutine dlaf_pdsyevd(uplo, n, a, ia, ja, desca, w, z, iz, jz, descz, info)

Arguments

public subroutine dlaf_pdsyevd_partial_spectrum(uplo, n, a, ia, ja, desca, w, z, iz, jz, descz, il, iu, info)

Arguments

public subroutine dlaf_pcheevd(uplo, n, a, ia, ja, desca, w, z, iz, jz, descz, info)

Arguments

public subroutine dlaf_pcheevd_partial_spectrum(uplo, n, a, ia, ja, desca, w, z, iz, jz, descz, il, iu, info)

Arguments

public subroutine dlaf_pzheevd(uplo, n, a, ia, ja, desca, w, z, iz, jz, descz, info)

Arguments

public subroutine dlaf_pzheevd_partial_spectrum(uplo, n, a, ia, ja, desca, w, z, iz, jz, descz, il, iu, info)

Arguments

public subroutine dlaf_pssygvd(uplo, n, a, ia, ja, desca, b, ib, jb, descb, w, z, iz, jz, descz, info)

Arguments

public subroutine dlaf_pssygvd_partial_spectrum(uplo, n, a, ia, ja, desca, b, ib, jb, descb, w, z, iz, jz, descz, il, iu, info)

Arguments

public subroutine dlaf_pssygvd_factorized(uplo, n, a, ia, ja, desca, b, ib, jb, descb, w, z, iz, jz, descz, info)

Arguments

public subroutine dlaf_pssygvd_partial_spectrum_factorized(uplo, n, a, ia, ja, desca, b, ib, jb, descb, w, z, iz, jz, descz, il, iu, info)

Arguments

public subroutine dlaf_pdsygvd(uplo, n, a, ia, ja, desca, b, ib, jb, descb, w, z, iz, jz, descz, info)

Arguments

public subroutine dlaf_pdsygvd_partial_spectrum(uplo, n, a, ia, ja, desca, b, ib, jb, descb, w, z, iz, jz, descz, il, iu, info)

Arguments

public subroutine dlaf_pdsygvd_factorized(uplo, n, a, ia, ja, desca, b, ib, jb, descb, w, z, iz, jz, descz, info)

Arguments

public subroutine dlaf_pdsygvd_partial_spectrum_factorized(uplo, n, a, ia, ja, desca, b, ib, jb, descb, w, z, iz, jz, descz, il, iu, info)

Arguments

public subroutine dlaf_pchegvd(uplo, n, a, ia, ja, desca, b, ib, jb, descb, w, z, iz, jz, descz, info)

Arguments

public subroutine dlaf_pchegvd_partial_spectrum(uplo, n, a, ia, ja, desca, b, ib, jb, descb, w, z, iz, jz, descz, il, iu, info)

Arguments

public subroutine dlaf_pchegvd_factorized(uplo, n, a, ia, ja, desca, b, ib, jb, descb, w, z, iz, jz, descz, info)

Arguments

public subroutine dlaf_pchegvd_partial_spectrum_factorized(uplo, n, a, ia, ja, desca, b, ib, jb, descb, w, z, iz, jz, descz, il, iu, info)

Arguments

public subroutine dlaf_pzhegvd(uplo, n, a, ia, ja, desca, b, ib, jb, descb, w, z, iz, jz, descz, info)

Arguments

public subroutine dlaf_pzhegvd_partial_spectrum(uplo, n, a, ia, ja, desca, b, ib, jb, descb, w, z, iz, jz, descz, il, iu, info)

Arguments

public subroutine dlaf_pzhegvd_factorized(uplo, n, a, ia, ja, desca, b, ib, jb, descb, w, z, iz, jz, descz, info)

Arguments

public subroutine dlaf_pzhegvd_partial_spectrum_factorized(uplo, n, a, ia, ja, desca, b, ib, jb, descb, w, z, iz, jz, descz, il, iu, info)

Arguments