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.
magma_int_t	magma_ctrtri_expert_gpu_work (magma_uplo_t uplo, magma_diag_t diag, magma_int_t n, magmaFloatComplex_ptr dA, magma_int_t ldda, magma_int_t *info, void *host_work, magma_int_t *lwork_host, void *device_work, magma_int_t *lwork_device, magma_queue_t queues[2])
	CTRTRI computes the inverse of a real upper or lower triangular matrix dA.
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.
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.
magma_int_t	magma_dtrtri_expert_gpu_work (magma_uplo_t uplo, magma_diag_t diag, magma_int_t n, magmaDouble_ptr dA, magma_int_t ldda, magma_int_t *info, void *host_work, magma_int_t *lwork_host, void *device_work, magma_int_t *lwork_device, magma_queue_t queues[2])
	DTRTRI computes the inverse of a real upper or lower triangular matrix dA.
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.
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.
magma_int_t	magma_strtri_expert_gpu_work (magma_uplo_t uplo, magma_diag_t diag, magma_int_t n, magmaFloat_ptr dA, magma_int_t ldda, magma_int_t *info, void *host_work, magma_int_t *lwork_host, void *device_work, magma_int_t *lwork_device, magma_queue_t queues[2])
	STRTRI computes the inverse of a real upper or lower triangular matrix dA.
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.
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.
magma_int_t	magma_ztrtri_expert_gpu_work (magma_uplo_t uplo, magma_diag_t diag, magma_int_t n, magmaDoubleComplex_ptr dA, magma_int_t ldda, magma_int_t *info, void *host_work, magma_int_t *lwork_host, void *device_work, magma_int_t *lwork_device, magma_queue_t queues[2])
	ZTRTRI computes the inverse of a real upper or lower triangular matrix dA.
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.

Detailed Description

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

Function Documentation

magma_ctrtri()

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_ctrtri_expert_gpu_work()

magma_int_t magma_ctrtri_expert_gpu_work	(	magma_uplo_t	uplo,
		magma_diag_t	diag,
		magma_int_t	n,
		magmaFloatComplex_ptr	dA,
		magma_int_t	ldda,
		magma_int_t *	info,
		void *	host_work,
		magma_int_t *	lwork_host,
		void *	device_work,
		magma_int_t *	lwork_device,
		magma_queue_t	queues[2] )

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

This is the Level 3 BLAS version of the algorithm. This is an expert API, exposing more controls to the end user.

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.)
[in,out]	host_work	Workspace, allocated on host (CPU) memory. For faster CPU-GPU communication, user can allocate it as pinned memory using magma_malloc_pinned()
[in,out]	lwork_host	INTEGER pointer The size of the workspace (host_work) in bytes lwork_host[0] < 0: a workspace query is assumed, the routine calculates the required amount of workspace and returns it in lwork_host. The workspace itself is not referenced, and no computations is performed.

• lwork[0] >= 0: the routine assumes that the user has provided a workspace with the size in lwork_host.

Parameters

[in,out]	device_work	Workspace, allocated on device (GPU) memory.
[in,out]	lwork_device	INTEGER pointer The size of the workspace (device_work) in bytes lwork_device[0] < 0: a workspace query is assumed, the routine calculates the required amount of workspace and returns it in lwork_device. The workspace itself is not referenced, and no computation is performed. lwork_device[0] >= 0: the routine assumes that the user has provided a workspace with the size in lwork_device.
[in]	queues	magma_queue_t array of size two created/destroyed by the user outside the routine Used for concurrent kernel execution, if possible

magma_ctrtri_gpu()

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_dtrtri()

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_dtrtri_expert_gpu_work()

magma_int_t magma_dtrtri_expert_gpu_work	(	magma_uplo_t	uplo,
		magma_diag_t	diag,
		magma_int_t	n,
		magmaDouble_ptr	dA,
		magma_int_t	ldda,
		magma_int_t *	info,
		void *	host_work,
		magma_int_t *	lwork_host,
		void *	device_work,
		magma_int_t *	lwork_device,
		magma_queue_t	queues[2] )

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

This is the Level 3 BLAS version of the algorithm. This is an expert API, exposing more controls to the end user.

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.)
[in,out]	host_work	Workspace, allocated on host (CPU) memory. For faster CPU-GPU communication, user can allocate it as pinned memory using magma_malloc_pinned()
[in,out]	lwork_host	INTEGER pointer The size of the workspace (host_work) in bytes lwork_host[0] < 0: a workspace query is assumed, the routine calculates the required amount of workspace and returns it in lwork_host. The workspace itself is not referenced, and no computations is performed.

• lwork[0] >= 0: the routine assumes that the user has provided a workspace with the size in lwork_host.

Parameters

[in,out]	device_work	Workspace, allocated on device (GPU) memory.
[in,out]	lwork_device	INTEGER pointer The size of the workspace (device_work) in bytes lwork_device[0] < 0: a workspace query is assumed, the routine calculates the required amount of workspace and returns it in lwork_device. The workspace itself is not referenced, and no computation is performed. lwork_device[0] >= 0: the routine assumes that the user has provided a workspace with the size in lwork_device.
[in]	queues	magma_queue_t array of size two created/destroyed by the user outside the routine Used for concurrent kernel execution, if possible

magma_dtrtri_gpu()

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_strtri()

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_strtri_expert_gpu_work()

magma_int_t magma_strtri_expert_gpu_work	(	magma_uplo_t	uplo,
		magma_diag_t	diag,
		magma_int_t	n,
		magmaFloat_ptr	dA,
		magma_int_t	ldda,
		magma_int_t *	info,
		void *	host_work,
		magma_int_t *	lwork_host,
		void *	device_work,
		magma_int_t *	lwork_device,
		magma_queue_t	queues[2] )

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

This is the Level 3 BLAS version of the algorithm. This is an expert API, exposing more controls to the end user.

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.)
[in,out]	host_work	Workspace, allocated on host (CPU) memory. For faster CPU-GPU communication, user can allocate it as pinned memory using magma_malloc_pinned()
[in,out]	lwork_host	INTEGER pointer The size of the workspace (host_work) in bytes lwork_host[0] < 0: a workspace query is assumed, the routine calculates the required amount of workspace and returns it in lwork_host. The workspace itself is not referenced, and no computations is performed.

• lwork[0] >= 0: the routine assumes that the user has provided a workspace with the size in lwork_host.

Parameters

[in,out]	device_work	Workspace, allocated on device (GPU) memory.
[in,out]	lwork_device	INTEGER pointer The size of the workspace (device_work) in bytes lwork_device[0] < 0: a workspace query is assumed, the routine calculates the required amount of workspace and returns it in lwork_device. The workspace itself is not referenced, and no computation is performed. lwork_device[0] >= 0: the routine assumes that the user has provided a workspace with the size in lwork_device.
[in]	queues	magma_queue_t array of size two created/destroyed by the user outside the routine Used for concurrent kernel execution, if possible

magma_strtri_gpu()

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_ztrtri()

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_ztrtri_expert_gpu_work()

magma_int_t magma_ztrtri_expert_gpu_work	(	magma_uplo_t	uplo,
		magma_diag_t	diag,
		magma_int_t	n,
		magmaDoubleComplex_ptr	dA,
		magma_int_t	ldda,
		magma_int_t *	info,
		void *	host_work,
		magma_int_t *	lwork_host,
		void *	device_work,
		magma_int_t *	lwork_device,
		magma_queue_t	queues[2] )

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

This is the Level 3 BLAS version of the algorithm. This is an expert API, exposing more controls to the end user.

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.)
[in,out]	host_work	Workspace, allocated on host (CPU) memory. For faster CPU-GPU communication, user can allocate it as pinned memory using magma_malloc_pinned()
[in,out]	lwork_host	INTEGER pointer The size of the workspace (host_work) in bytes lwork_host[0] < 0: a workspace query is assumed, the routine calculates the required amount of workspace and returns it in lwork_host. The workspace itself is not referenced, and no computations is performed.

• lwork[0] >= 0: the routine assumes that the user has provided a workspace with the size in lwork_host.

Parameters

[in,out]	device_work	Workspace, allocated on device (GPU) memory.
[in,out]	lwork_device	INTEGER pointer The size of the workspace (device_work) in bytes lwork_device[0] < 0: a workspace query is assumed, the routine calculates the required amount of workspace and returns it in lwork_device. The workspace itself is not referenced, and no computation is performed. lwork_device[0] >= 0: the routine assumes that the user has provided a workspace with the size in lwork_device.
[in]	queues	magma_queue_t array of size two created/destroyed by the user outside the routine Used for concurrent kernel execution, if possible

magma_ztrtri_gpu()

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.)