trtri: Triangular inverse; used in getri, potri

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

Functions
magma_int_t	magma_ctrtri (magma_uplo_t uplo, magma_diag_t diag, magma_int_t n, magmaFloatComplex *A, magma_int_t lda, magma_int_t *info)
	CTRTRI computes the inverse of a real upper or lower triangular matrix A. More...
magma_int_t	magma_ctrtri_gpu (magma_uplo_t uplo, magma_diag_t diag, magma_int_t n, magmaFloatComplex_ptr dA, magma_int_t ldda, magma_int_t *info)
	CTRTRI computes the inverse of a real upper or lower triangular matrix dA. More...
magma_int_t	magma_dtrtri (magma_uplo_t uplo, magma_diag_t diag, magma_int_t n, double *A, magma_int_t lda, magma_int_t *info)
	DTRTRI computes the inverse of a real upper or lower triangular matrix A. More...
magma_int_t	magma_dtrtri_gpu (magma_uplo_t uplo, magma_diag_t diag, magma_int_t n, magmaDouble_ptr dA, magma_int_t ldda, magma_int_t *info)
	DTRTRI computes the inverse of a real upper or lower triangular matrix dA. More...
magma_int_t	magma_strtri (magma_uplo_t uplo, magma_diag_t diag, magma_int_t n, float *A, magma_int_t lda, magma_int_t *info)
	STRTRI computes the inverse of a real upper or lower triangular matrix A. More...
magma_int_t	magma_strtri_gpu (magma_uplo_t uplo, magma_diag_t diag, magma_int_t n, magmaFloat_ptr dA, magma_int_t ldda, magma_int_t *info)
	STRTRI computes the inverse of a real upper or lower triangular matrix dA. More...
magma_int_t	magma_ztrtri (magma_uplo_t uplo, magma_diag_t diag, magma_int_t n, magmaDoubleComplex *A, magma_int_t lda, magma_int_t *info)
	ZTRTRI computes the inverse of a real upper or lower triangular matrix A. More...
magma_int_t	magma_ztrtri_gpu (magma_uplo_t uplo, magma_diag_t diag, magma_int_t n, magmaDoubleComplex_ptr dA, magma_int_t ldda, magma_int_t *info)
	ZTRTRI computes the inverse of a real upper or lower triangular matrix dA. More...

Detailed Description

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

Function Documentation

magma_int_t magma_ctrtri	(	magma_uplo_t	uplo,
		magma_diag_t	diag,
		magma_int_t	n,
		magmaFloatComplex *	A,
		magma_int_t	lda,
		magma_int_t *	info
	)

CTRTRI computes the inverse of a real upper or lower triangular matrix A.

This is the Level 3 BLAS version of the algorithm.

Parameters

[in]	uplo	magma_uplo_t = MagmaUpper: A is upper triangular; = MagmaLower: A is lower triangular.
[in]	diag	magma_diag_t = MagmaNonUnit: A is non-unit triangular; = MagmaUnit: A is unit triangular.
[in]	n	INTEGER The order of the matrix A. N >= 0.
[in,out]	A	COMPLEX array, dimension (LDA,N) On entry, the triangular matrix A. If UPLO = MagmaUpper, 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 = MagmaLower, 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 = MagmaUnit, 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	INTEGER The leading dimension of the array A. LDA >= max(1,N).
[out]	info	INTEGER = 0: successful exit < 0: if INFO = -i, the i-th argument had an illegal value > 0: if INFO = i, A(i,i) is exactly zero. The triangular matrix is singular and its inverse cannot be computed.

magma_int_t magma_ctrtri_gpu	(	magma_uplo_t	uplo,
		magma_diag_t	diag,
		magma_int_t	n,
		magmaFloatComplex_ptr	dA,
		magma_int_t	ldda,
		magma_int_t *	info
	)

CTRTRI computes the inverse of a real upper or lower triangular matrix dA.

This is the Level 3 BLAS version of the algorithm.

Parameters

[in]	uplo	magma_uplo_t = MagmaUpper: A is upper triangular; = MagmaLower: A is lower triangular.
[in]	diag	magma_diag_t = MagmaNonUnit: A is non-unit triangular; = MagmaUnit: A is unit triangular.
[in]	n	INTEGER The order of the matrix A. N >= 0.
[in,out]	dA	COMPLEX array ON THE GPU, dimension (LDDA,N) On entry, the triangular matrix A. If UPLO = MagmaUpper, the leading N-by-N upper triangular part of the array dA contains the upper triangular matrix, and the strictly lower triangular part of A is not referenced. If UPLO = MagmaLower, the leading N-by-N lower triangular part of the array dA contains the lower triangular matrix, and the strictly upper triangular part of A is not referenced. If DIAG = MagmaUnit, 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]	ldda	INTEGER The leading dimension of the array dA. LDDA >= max(1,N).
[out]	info	INTEGER = 0: successful exit < 0: if INFO = -i, the i-th argument had an illegal value > 0: if INFO = i, dA(i,i) is exactly zero. The triangular matrix is singular and its inverse cannot be computed. (Singularity check is currently disabled.)

magma_int_t magma_dtrtri	(	magma_uplo_t	uplo,
		magma_diag_t	diag,
		magma_int_t	n,
		double *	A,
		magma_int_t	lda,
		magma_int_t *	info
	)

DTRTRI computes the inverse of a real upper or lower triangular matrix A.

This is the Level 3 BLAS version of the algorithm.

Parameters

[in]	uplo	magma_uplo_t = MagmaUpper: A is upper triangular; = MagmaLower: A is lower triangular.
[in]	diag	magma_diag_t = MagmaNonUnit: A is non-unit triangular; = MagmaUnit: A is unit triangular.
[in]	n	INTEGER The order of the matrix A. N >= 0.
[in,out]	A	DOUBLE PRECISION array, dimension (LDA,N) On entry, the triangular matrix A. If UPLO = MagmaUpper, 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 = MagmaLower, 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 = MagmaUnit, 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	INTEGER The leading dimension of the array A. LDA >= max(1,N).
[out]	info	INTEGER = 0: successful exit < 0: if INFO = -i, the i-th argument had an illegal value > 0: if INFO = i, A(i,i) is exactly zero. The triangular matrix is singular and its inverse cannot be computed.

magma_int_t magma_dtrtri_gpu	(	magma_uplo_t	uplo,
		magma_diag_t	diag,
		magma_int_t	n,
		magmaDouble_ptr	dA,
		magma_int_t	ldda,
		magma_int_t *	info
	)

DTRTRI computes the inverse of a real upper or lower triangular matrix dA.

This is the Level 3 BLAS version of the algorithm.

Parameters

[in]	uplo	magma_uplo_t = MagmaUpper: A is upper triangular; = MagmaLower: A is lower triangular.
[in]	diag	magma_diag_t = MagmaNonUnit: A is non-unit triangular; = MagmaUnit: A is unit triangular.
[in]	n	INTEGER The order of the matrix A. N >= 0.
[in,out]	dA	DOUBLE PRECISION array ON THE GPU, dimension (LDDA,N) On entry, the triangular matrix A. If UPLO = MagmaUpper, the leading N-by-N upper triangular part of the array dA contains the upper triangular matrix, and the strictly lower triangular part of A is not referenced. If UPLO = MagmaLower, the leading N-by-N lower triangular part of the array dA contains the lower triangular matrix, and the strictly upper triangular part of A is not referenced. If DIAG = MagmaUnit, 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]	ldda	INTEGER The leading dimension of the array dA. LDDA >= max(1,N).
[out]	info	INTEGER = 0: successful exit < 0: if INFO = -i, the i-th argument had an illegal value > 0: if INFO = i, dA(i,i) is exactly zero. The triangular matrix is singular and its inverse cannot be computed. (Singularity check is currently disabled.)

magma_int_t magma_strtri	(	magma_uplo_t	uplo,
		magma_diag_t	diag,
		magma_int_t	n,
		float *	A,
		magma_int_t	lda,
		magma_int_t *	info
	)

STRTRI computes the inverse of a real upper or lower triangular matrix A.

This is the Level 3 BLAS version of the algorithm.

Parameters

[in]	uplo	magma_uplo_t = MagmaUpper: A is upper triangular; = MagmaLower: A is lower triangular.
[in]	diag	magma_diag_t = MagmaNonUnit: A is non-unit triangular; = MagmaUnit: A is unit triangular.
[in]	n	INTEGER The order of the matrix A. N >= 0.
[in,out]	A	REAL array, dimension (LDA,N) On entry, the triangular matrix A. If UPLO = MagmaUpper, 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 = MagmaLower, 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 = MagmaUnit, 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	INTEGER The leading dimension of the array A. LDA >= max(1,N).
[out]	info	INTEGER = 0: successful exit < 0: if INFO = -i, the i-th argument had an illegal value > 0: if INFO = i, A(i,i) is exactly zero. The triangular matrix is singular and its inverse cannot be computed.

magma_int_t magma_strtri_gpu	(	magma_uplo_t	uplo,
		magma_diag_t	diag,
		magma_int_t	n,
		magmaFloat_ptr	dA,
		magma_int_t	ldda,
		magma_int_t *	info
	)

STRTRI computes the inverse of a real upper or lower triangular matrix dA.

This is the Level 3 BLAS version of the algorithm.

Parameters

[in]	uplo	magma_uplo_t = MagmaUpper: A is upper triangular; = MagmaLower: A is lower triangular.
[in]	diag	magma_diag_t = MagmaNonUnit: A is non-unit triangular; = MagmaUnit: A is unit triangular.
[in]	n	INTEGER The order of the matrix A. N >= 0.
[in,out]	dA	REAL array ON THE GPU, dimension (LDDA,N) On entry, the triangular matrix A. If UPLO = MagmaUpper, the leading N-by-N upper triangular part of the array dA contains the upper triangular matrix, and the strictly lower triangular part of A is not referenced. If UPLO = MagmaLower, the leading N-by-N lower triangular part of the array dA contains the lower triangular matrix, and the strictly upper triangular part of A is not referenced. If DIAG = MagmaUnit, 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]	ldda	INTEGER The leading dimension of the array dA. LDDA >= max(1,N).
[out]	info	INTEGER = 0: successful exit < 0: if INFO = -i, the i-th argument had an illegal value > 0: if INFO = i, dA(i,i) is exactly zero. The triangular matrix is singular and its inverse cannot be computed. (Singularity check is currently disabled.)

magma_int_t magma_ztrtri	(	magma_uplo_t	uplo,
		magma_diag_t	diag,
		magma_int_t	n,
		magmaDoubleComplex *	A,
		magma_int_t	lda,
		magma_int_t *	info
	)

ZTRTRI computes the inverse of a real upper or lower triangular matrix A.

This is the Level 3 BLAS version of the algorithm.

Parameters

[in]	uplo	magma_uplo_t = MagmaUpper: A is upper triangular; = MagmaLower: A is lower triangular.
[in]	diag	magma_diag_t = MagmaNonUnit: A is non-unit triangular; = MagmaUnit: A is unit triangular.
[in]	n	INTEGER The order of the matrix A. N >= 0.
[in,out]	A	COMPLEX_16 array, dimension (LDA,N) On entry, the triangular matrix A. If UPLO = MagmaUpper, 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 = MagmaLower, 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 = MagmaUnit, 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	INTEGER The leading dimension of the array A. LDA >= max(1,N).
[out]	info	INTEGER = 0: successful exit < 0: if INFO = -i, the i-th argument had an illegal value > 0: if INFO = i, A(i,i) is exactly zero. The triangular matrix is singular and its inverse cannot be computed.

magma_int_t magma_ztrtri_gpu	(	magma_uplo_t	uplo,
		magma_diag_t	diag,
		magma_int_t	n,
		magmaDoubleComplex_ptr	dA,
		magma_int_t	ldda,
		magma_int_t *	info
	)

ZTRTRI computes the inverse of a real upper or lower triangular matrix dA.

This is the Level 3 BLAS version of the algorithm.

Parameters

[in]	uplo	magma_uplo_t = MagmaUpper: A is upper triangular; = MagmaLower: A is lower triangular.
[in]	diag	magma_diag_t = MagmaNonUnit: A is non-unit triangular; = MagmaUnit: A is unit triangular.
[in]	n	INTEGER The order of the matrix A. N >= 0.
[in,out]	dA	COMPLEX_16 array ON THE GPU, dimension (LDDA,N) On entry, the triangular matrix A. If UPLO = MagmaUpper, the leading N-by-N upper triangular part of the array dA contains the upper triangular matrix, and the strictly lower triangular part of A is not referenced. If UPLO = MagmaLower, the leading N-by-N lower triangular part of the array dA contains the lower triangular matrix, and the strictly upper triangular part of A is not referenced. If DIAG = MagmaUnit, 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]	ldda	INTEGER The leading dimension of the array dA. LDDA >= max(1,N).
[out]	info	INTEGER = 0: successful exit < 0: if INFO = -i, the i-th argument had an illegal value > 0: if INFO = i, dA(i,i) is exactly zero. The triangular matrix is singular and its inverse cannot be computed. (Singularity check is currently disabled.)