trtri: Triangular inverse; used in getri, potri

\( A = A^{-1} \) where \( A \) is triangular More...

Functions
int	plasma_ctrtri (plasma_enum_t uplo, plasma_enum_t diag, int n, plasma_complex32_t *pA, int lda)
void	plasma_omp_ctrtri (plasma_enum_t uplo, plasma_enum_t diag, plasma_desc_t A, plasma_sequence_t *sequence, plasma_request_t *request)
int	plasma_dtrtri (plasma_enum_t uplo, plasma_enum_t diag, int n, double *pA, int lda)
void	plasma_omp_dtrtri (plasma_enum_t uplo, plasma_enum_t diag, plasma_desc_t A, plasma_sequence_t *sequence, plasma_request_t *request)
int	plasma_strtri (plasma_enum_t uplo, plasma_enum_t diag, int n, float *pA, int lda)
void	plasma_omp_strtri (plasma_enum_t uplo, plasma_enum_t diag, plasma_desc_t A, plasma_sequence_t *sequence, plasma_request_t *request)
int	plasma_ztrtri (plasma_enum_t uplo, plasma_enum_t diag, int n, plasma_complex64_t *pA, int lda)
void	plasma_omp_ztrtri (plasma_enum_t uplo, plasma_enum_t diag, plasma_desc_t A, plasma_sequence_t *sequence, plasma_request_t *request)

Detailed Description

\( A = A^{-1} \) where \( A \) is triangular

Function Documentation

int plasma_ctrtri	(	plasma_enum_t	uplo,
		plasma_enum_t	diag,
		int	n,
		plasma_complex32_t *	pA,
		int	lda
	)

Computes the inverse of an upper or lower triangular matrix A.

Parameters

[in]	uplo	PlasmaUpper: Upper triangle of A is stored; PlasmaLower: Lower triangle of A is stored.
[in]	diag	PlasmaNonUnit: A is non-unit triangular; PlasmaUnit: A is unit triangular.
[in]	n	The order of the matrix A. n >= 0.
[in,out]	pA	On entry, the triangular matrix A. If uplo = 'U', the leading n-by-n upper triangular part of the array A contains the upper triangular matrix, and the strictly lower triangular part of A is not referenced. If uplo = 'L', the leading n-by-n lower triangular part of the array A contains the lower triangular matrix, and the strictly upper triangular part of A is not referenced. If diag = 'U', the diagonal elements of A are also not referenced and are assumed to be 1. On exit, the (triangular) inverse of the original matrix, in the same storage format.
[in]	lda	The leading dimension of the array A. lda >= max(1,n).

Return values

PlasmaSuccess	successful exit.
<	0 if -i, the i-th argument had an illegal value.
>	0 if i, A(i,i) is exactly zero. The triangular matrix is singular and its inverse can not be computed.

See also

plasma_ctrtri

plasma_dtrtri

plasma_strtri

void plasma_omp_ctrtri	(	plasma_enum_t	uplo,
		plasma_enum_t	diag,
		plasma_desc_t	A,
		plasma_sequence_t *	sequence,
		plasma_request_t *	request
	)

Computes the inverse of a complex upper or lower triangular matrix A.

Parameters

[in]	uplo	PlasmaUpper: Upper triangle of A is stored; PlasmaLower: Lower triangle of A is stored.
[in]	diag	PlasmaNonUnit: A is non-unit triangular; PlasmaUnit: A is unit triangular.
[in]	A	On entry, the triangular matrix A. If uplo = 'U', the leading n-by-n upper triangular part of the array A contains the upper triangular matrix, and the strictly lower triangular part of A is not referenced. If uplo = 'L', the leading n-by-n lower triangular part of the array A contains the lower triangular matrix, and the strictly upper triangular part of A is not referenced. If diag = 'U', the diagonal elements of A are also not referenced and are assumed to be 1. On exit, the (triangular) inverse of the original matrix, in the same storage format.
[in]	sequence	Identifies the sequence of function calls that this call belongs to (for completion checks and exception handling purposes). Check the sequence->status for errors.
[out]	request	Identifies this function call (for exception handling purposes).

Return values

void	Errors are returned by setting sequence->status and request->status to error values. The sequence->status and request->status should never be set to PlasmaSuccess (the initial values) since another async call may be setting a failure value at the same time.

See also

plasma_ctrtri

plasma_omp_ctrtri

plasma_omp_ctrtri

plasma_omp_dtrtri

plasma_omp_strtri

int plasma_dtrtri	(	plasma_enum_t	uplo,
		plasma_enum_t	diag,
		int	n,
		double *	pA,
		int	lda
	)

Computes the inverse of an upper or lower triangular matrix A.

Parameters

[in]	uplo	PlasmaUpper: Upper triangle of A is stored; PlasmaLower: Lower triangle of A is stored.
[in]	diag	PlasmaNonUnit: A is non-unit triangular; PlasmaUnit: A is unit triangular.
[in]	n	The order of the matrix A. n >= 0.
[in,out]	pA	On entry, the triangular matrix A. If uplo = 'U', the leading n-by-n upper triangular part of the array A contains the upper triangular matrix, and the strictly lower triangular part of A is not referenced. If uplo = 'L', the leading n-by-n lower triangular part of the array A contains the lower triangular matrix, and the strictly upper triangular part of A is not referenced. If diag = 'U', the diagonal elements of A are also not referenced and are assumed to be 1. On exit, the (triangular) inverse of the original matrix, in the same storage format.
[in]	lda	The leading dimension of the array A. lda >= max(1,n).

Return values

PlasmaSuccess	successful exit.
<	0 if -i, the i-th argument had an illegal value.
>	0 if i, A(i,i) is exactly zero. The triangular matrix is singular and its inverse can not be computed.

See also

plasma_ctrtri

plasma_dtrtri

plasma_strtri

void plasma_omp_dtrtri	(	plasma_enum_t	uplo,
		plasma_enum_t	diag,
		plasma_desc_t	A,
		plasma_sequence_t *	sequence,
		plasma_request_t *	request
	)

Computes the inverse of a complex upper or lower triangular matrix A.

Parameters

[in]	uplo	PlasmaUpper: Upper triangle of A is stored; PlasmaLower: Lower triangle of A is stored.
[in]	diag	PlasmaNonUnit: A is non-unit triangular; PlasmaUnit: A is unit triangular.
[in]	A	On entry, the triangular matrix A. If uplo = 'U', the leading n-by-n upper triangular part of the array A contains the upper triangular matrix, and the strictly lower triangular part of A is not referenced. If uplo = 'L', the leading n-by-n lower triangular part of the array A contains the lower triangular matrix, and the strictly upper triangular part of A is not referenced. If diag = 'U', the diagonal elements of A are also not referenced and are assumed to be 1. On exit, the (triangular) inverse of the original matrix, in the same storage format.
[in]	sequence	Identifies the sequence of function calls that this call belongs to (for completion checks and exception handling purposes). Check the sequence->status for errors.
[out]	request	Identifies this function call (for exception handling purposes).

Return values

void	Errors are returned by setting sequence->status and request->status to error values. The sequence->status and request->status should never be set to PlasmaSuccess (the initial values) since another async call may be setting a failure value at the same time.

See also

plasma_dtrtri

plasma_omp_dtrtri

plasma_omp_ctrtri

plasma_omp_dtrtri

plasma_omp_strtri

int plasma_strtri	(	plasma_enum_t	uplo,
		plasma_enum_t	diag,
		int	n,
		float *	pA,
		int	lda
	)

Computes the inverse of an upper or lower triangular matrix A.

Parameters

[in]	uplo	PlasmaUpper: Upper triangle of A is stored; PlasmaLower: Lower triangle of A is stored.
[in]	diag	PlasmaNonUnit: A is non-unit triangular; PlasmaUnit: A is unit triangular.
[in]	n	The order of the matrix A. n >= 0.
[in,out]	pA	On entry, the triangular matrix A. If uplo = 'U', the leading n-by-n upper triangular part of the array A contains the upper triangular matrix, and the strictly lower triangular part of A is not referenced. If uplo = 'L', the leading n-by-n lower triangular part of the array A contains the lower triangular matrix, and the strictly upper triangular part of A is not referenced. If diag = 'U', the diagonal elements of A are also not referenced and are assumed to be 1. On exit, the (triangular) inverse of the original matrix, in the same storage format.
[in]	lda	The leading dimension of the array A. lda >= max(1,n).

Return values

PlasmaSuccess	successful exit.
<	0 if -i, the i-th argument had an illegal value.
>	0 if i, A(i,i) is exactly zero. The triangular matrix is singular and its inverse can not be computed.

See also

plasma_ctrtri

plasma_dtrtri

plasma_strtri

void plasma_omp_strtri	(	plasma_enum_t	uplo,
		plasma_enum_t	diag,
		plasma_desc_t	A,
		plasma_sequence_t *	sequence,
		plasma_request_t *	request
	)

Computes the inverse of a complex upper or lower triangular matrix A.

Parameters

[in]	uplo	PlasmaUpper: Upper triangle of A is stored; PlasmaLower: Lower triangle of A is stored.
[in]	diag	PlasmaNonUnit: A is non-unit triangular; PlasmaUnit: A is unit triangular.
[in]	A	On entry, the triangular matrix A. If uplo = 'U', the leading n-by-n upper triangular part of the array A contains the upper triangular matrix, and the strictly lower triangular part of A is not referenced. If uplo = 'L', the leading n-by-n lower triangular part of the array A contains the lower triangular matrix, and the strictly upper triangular part of A is not referenced. If diag = 'U', the diagonal elements of A are also not referenced and are assumed to be 1. On exit, the (triangular) inverse of the original matrix, in the same storage format.
[in]	sequence	Identifies the sequence of function calls that this call belongs to (for completion checks and exception handling purposes). Check the sequence->status for errors.
[out]	request	Identifies this function call (for exception handling purposes).

Return values

void	Errors are returned by setting sequence->status and request->status to error values. The sequence->status and request->status should never be set to PlasmaSuccess (the initial values) since another async call may be setting a failure value at the same time.

See also

plasma_strtri

plasma_omp_strtri

plasma_omp_ctrtri

plasma_omp_dtrtri

plasma_omp_strtri

int plasma_ztrtri	(	plasma_enum_t	uplo,
		plasma_enum_t	diag,
		int	n,
		plasma_complex64_t *	pA,
		int	lda
	)

Computes the inverse of an upper or lower triangular matrix A.

Parameters

[in]	uplo	PlasmaUpper: Upper triangle of A is stored; PlasmaLower: Lower triangle of A is stored.
[in]	diag	PlasmaNonUnit: A is non-unit triangular; PlasmaUnit: A is unit triangular.
[in]	n	The order of the matrix A. n >= 0.
[in,out]	pA	On entry, the triangular matrix A. If uplo = 'U', the leading n-by-n upper triangular part of the array A contains the upper triangular matrix, and the strictly lower triangular part of A is not referenced. If uplo = 'L', the leading n-by-n lower triangular part of the array A contains the lower triangular matrix, and the strictly upper triangular part of A is not referenced. If diag = 'U', the diagonal elements of A are also not referenced and are assumed to be 1. On exit, the (triangular) inverse of the original matrix, in the same storage format.
[in]	lda	The leading dimension of the array A. lda >= max(1,n).

Return values

PlasmaSuccess	successful exit.
<	0 if -i, the i-th argument had an illegal value.
>	0 if i, A(i,i) is exactly zero. The triangular matrix is singular and its inverse can not be computed.

See also

plasma_ctrtri

plasma_dtrtri

plasma_strtri

void plasma_omp_ztrtri	(	plasma_enum_t	uplo,
		plasma_enum_t	diag,
		plasma_desc_t	A,
		plasma_sequence_t *	sequence,
		plasma_request_t *	request
	)

Computes the inverse of a complex upper or lower triangular matrix A.

Parameters

[in]	uplo	PlasmaUpper: Upper triangle of A is stored; PlasmaLower: Lower triangle of A is stored.
[in]	diag	PlasmaNonUnit: A is non-unit triangular; PlasmaUnit: A is unit triangular.
[in]	A	On entry, the triangular matrix A. If uplo = 'U', the leading n-by-n upper triangular part of the array A contains the upper triangular matrix, and the strictly lower triangular part of A is not referenced. If uplo = 'L', the leading n-by-n lower triangular part of the array A contains the lower triangular matrix, and the strictly upper triangular part of A is not referenced. If diag = 'U', the diagonal elements of A are also not referenced and are assumed to be 1. On exit, the (triangular) inverse of the original matrix, in the same storage format.
[in]	sequence	Identifies the sequence of function calls that this call belongs to (for completion checks and exception handling purposes). Check the sequence->status for errors.
[out]	request	Identifies this function call (for exception handling purposes).

Return values

void	Errors are returned by setting sequence->status and request->status to error values. The sequence->status and request->status should never be set to PlasmaSuccess (the initial values) since another async call may be setting a failure value at the same time.

See also

plasma_ztrtri

plasma_omp_ztrtri

plasma_omp_ctrtri

plasma_omp_dtrtri

plasma_omp_strtri