trtri_diag: Invert diagonal blocks of triangular matrix; used in trsm

Functions
void	magmablas_ctrtri_diag_batched (magma_uplo_t uplo, magma_diag_t diag, magma_int_t n, magmaFloatComplex const *const *dA_array, magma_int_t ldda, magmaFloatComplex **dinvA_array, magma_int_t resetozero, magma_int_t batchCount, magma_queue_t queue)
	CTRTRI_DIAG inverts the NB x NB diagonal blocks of a triangular matrix.
void	magmablas_dtrtri_diag_batched (magma_uplo_t uplo, magma_diag_t diag, magma_int_t n, double const *const *dA_array, magma_int_t ldda, double **dinvA_array, magma_int_t resetozero, magma_int_t batchCount, magma_queue_t queue)
	DTRTRI_DIAG inverts the NB x NB diagonal blocks of a triangular matrix.
void	magmablas_strtri_diag_batched (magma_uplo_t uplo, magma_diag_t diag, magma_int_t n, float const *const *dA_array, magma_int_t ldda, float **dinvA_array, magma_int_t resetozero, magma_int_t batchCount, magma_queue_t queue)
	STRTRI_DIAG inverts the NB x NB diagonal blocks of a triangular matrix.
void	magmablas_ztrtri_diag_batched (magma_uplo_t uplo, magma_diag_t diag, magma_int_t n, magmaDoubleComplex const *const *dA_array, magma_int_t ldda, magmaDoubleComplex **dinvA_array, magma_int_t resetozero, magma_int_t batchCount, magma_queue_t queue)
	ZTRTRI_DIAG inverts the NB x NB diagonal blocks of a triangular matrix.

Detailed Description

Function Documentation

magmablas_ctrtri_diag_batched()

void magmablas_ctrtri_diag_batched	(	magma_uplo_t	uplo,
		magma_diag_t	diag,
		magma_int_t	n,
		magmaFloatComplex const *const *	dA_array,
		magma_int_t	ldda,
		magmaFloatComplex **	dinvA_array,
		magma_int_t	resetozero,
		magma_int_t	batchCount,
		magma_queue_t	queue )

CTRTRI_DIAG inverts the NB x NB diagonal blocks of a triangular matrix.

This routine is used in ctrsm.

Parameters

[in]	uplo	magma_uplo_t. On entry, uplo specifies whether the matrix A is an upper or lower triangular matrix as follows: = MagmaUpper: A is an upper triangular matrix. = MagmaLower: A is a lower triangular matrix.
[in]	diag	magma_diag_t. On entry, diag specifies whether or not A is unit triangular as follows: = MagmaUnit: A is assumed to be unit triangular. = MagmaNonUnit: A is not assumed to be unit triangular.
[in]	n	INTEGER. On entry, n specifies the order of the matrix A. N >= 0.
[in]	dA_array	Array of pointers, dimension (batchCount). Each is a COMPLEX array A of dimension ( ldda, n ) The triangular matrix A. If UPLO = MagmaUpper, the leading N-by-N upper triangular part of 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 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.
[in]	ldda	INTEGER. The leading dimension of each array A. LDDA >= max(1,N).
[out]	dinvA_array	Array of pointers, dimension (batchCount). Each is a COMPLEX array dinvA of dimension (NB, ceil(n/NB)*NB), where NB = 128. On exit, contains inverses of the NB-by-NB diagonal blocks of A.
[in]	resetozero	INTEGER If not zero, each array dinvA will be reset to all zeros
[in]	batchCount	INTEGER The number of matrices to operate on.
[in]	queue	magma_queue_t Queue to execute in.

magmablas_dtrtri_diag_batched()

void magmablas_dtrtri_diag_batched	(	magma_uplo_t	uplo,
		magma_diag_t	diag,
		magma_int_t	n,
		double const *const *	dA_array,
		magma_int_t	ldda,
		double **	dinvA_array,
		magma_int_t	resetozero,
		magma_int_t	batchCount,
		magma_queue_t	queue )

DTRTRI_DIAG inverts the NB x NB diagonal blocks of a triangular matrix.

This routine is used in dtrsm.

Parameters

[in]	uplo	magma_uplo_t. On entry, uplo specifies whether the matrix A is an upper or lower triangular matrix as follows: = MagmaUpper: A is an upper triangular matrix. = MagmaLower: A is a lower triangular matrix.
[in]	diag	magma_diag_t. On entry, diag specifies whether or not A is unit triangular as follows: = MagmaUnit: A is assumed to be unit triangular. = MagmaNonUnit: A is not assumed to be unit triangular.
[in]	n	INTEGER. On entry, n specifies the order of the matrix A. N >= 0.
[in]	dA_array	Array of pointers, dimension (batchCount). Each is a DOUBLE PRECISION array A of dimension ( ldda, n ) The triangular matrix A. If UPLO = MagmaUpper, the leading N-by-N upper triangular part of 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 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.
[in]	ldda	INTEGER. The leading dimension of each array A. LDDA >= max(1,N).
[out]	dinvA_array	Array of pointers, dimension (batchCount). Each is a DOUBLE PRECISION array dinvA of dimension (NB, ceil(n/NB)*NB), where NB = 128. On exit, contains inverses of the NB-by-NB diagonal blocks of A.
[in]	resetozero	INTEGER If not zero, each array dinvA will be reset to all zeros
[in]	batchCount	INTEGER The number of matrices to operate on.
[in]	queue	magma_queue_t Queue to execute in.

magmablas_strtri_diag_batched()

void magmablas_strtri_diag_batched	(	magma_uplo_t	uplo,
		magma_diag_t	diag,
		magma_int_t	n,
		float const *const *	dA_array,
		magma_int_t	ldda,
		float **	dinvA_array,
		magma_int_t	resetozero,
		magma_int_t	batchCount,
		magma_queue_t	queue )

STRTRI_DIAG inverts the NB x NB diagonal blocks of a triangular matrix.

This routine is used in strsm.

Parameters

[in]	uplo	magma_uplo_t. On entry, uplo specifies whether the matrix A is an upper or lower triangular matrix as follows: = MagmaUpper: A is an upper triangular matrix. = MagmaLower: A is a lower triangular matrix.
[in]	diag	magma_diag_t. On entry, diag specifies whether or not A is unit triangular as follows: = MagmaUnit: A is assumed to be unit triangular. = MagmaNonUnit: A is not assumed to be unit triangular.
[in]	n	INTEGER. On entry, n specifies the order of the matrix A. N >= 0.
[in]	dA_array	Array of pointers, dimension (batchCount). Each is a REAL array A of dimension ( ldda, n ) The triangular matrix A. If UPLO = MagmaUpper, the leading N-by-N upper triangular part of 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 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.
[in]	ldda	INTEGER. The leading dimension of each array A. LDDA >= max(1,N).
[out]	dinvA_array	Array of pointers, dimension (batchCount). Each is a REAL array dinvA of dimension (NB, ceil(n/NB)*NB), where NB = 128. On exit, contains inverses of the NB-by-NB diagonal blocks of A.
[in]	resetozero	INTEGER If not zero, each array dinvA will be reset to all zeros
[in]	batchCount	INTEGER The number of matrices to operate on.
[in]	queue	magma_queue_t Queue to execute in.

magmablas_ztrtri_diag_batched()

void magmablas_ztrtri_diag_batched	(	magma_uplo_t	uplo,
		magma_diag_t	diag,
		magma_int_t	n,
		magmaDoubleComplex const *const *	dA_array,
		magma_int_t	ldda,
		magmaDoubleComplex **	dinvA_array,
		magma_int_t	resetozero,
		magma_int_t	batchCount,
		magma_queue_t	queue )

ZTRTRI_DIAG inverts the NB x NB diagonal blocks of a triangular matrix.

This routine is used in ztrsm.

Parameters

[in]	uplo	magma_uplo_t. On entry, uplo specifies whether the matrix A is an upper or lower triangular matrix as follows: = MagmaUpper: A is an upper triangular matrix. = MagmaLower: A is a lower triangular matrix.
[in]	diag	magma_diag_t. On entry, diag specifies whether or not A is unit triangular as follows: = MagmaUnit: A is assumed to be unit triangular. = MagmaNonUnit: A is not assumed to be unit triangular.
[in]	n	INTEGER. On entry, n specifies the order of the matrix A. N >= 0.
[in]	dA_array	Array of pointers, dimension (batchCount). Each is a COMPLEX_16 array A of dimension ( ldda, n ) The triangular matrix A. If UPLO = MagmaUpper, the leading N-by-N upper triangular part of 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 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.
[in]	ldda	INTEGER. The leading dimension of each array A. LDDA >= max(1,N).
[out]	dinvA_array	Array of pointers, dimension (batchCount). Each is a COMPLEX_16 array dinvA of dimension (NB, ceil(n/NB)*NB), where NB = 128. On exit, contains inverses of the NB-by-NB diagonal blocks of A.
[in]	resetozero	INTEGER If not zero, each array dinvA will be reset to all zeros
[in]	batchCount	INTEGER The number of matrices to operate on.
[in]	queue	magma_queue_t Queue to execute in.