trtri: Triangular inverse; used in getri, potri

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

Functions
void	magmablas_ctrtri_diag_vbatched (magma_uplo_t uplo, magma_diag_t diag, magma_int_t nmax, 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.
void	magmablas_dtrtri_diag_vbatched (magma_uplo_t uplo, magma_diag_t diag, magma_int_t nmax, 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.
void	magmablas_strtri_diag_vbatched (magma_uplo_t uplo, magma_diag_t diag, magma_int_t nmax, 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.
void	magmablas_ztrtri_diag_vbatched (magma_uplo_t uplo, magma_diag_t diag, magma_int_t nmax, 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.

Detailed Description

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

Function Documentation

magmablas_ctrtri_diag_vbatched()

void magmablas_ctrtri_diag_vbatched	(	magma_uplo_t	uplo,
		magma_diag_t	diag,
		magma_int_t	nmax,
		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.

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]	nmax	INTEGER. maximum value of n.
[in]	n	INTEGER array, dimension(batchCount) On entry, each entry specifies the order of the corresponding matrix A. N >= 0.
[in]	dA_array	COMPLEX array of dimension ( ldda, n ) The triangular matrix A. If UPLO = 'U', 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 = 'L', 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 = 'U', the diagonal elements of A are also not referenced and are assumed to be 1.
[in]	ldda	INTEGER. The leading dimension of the array A. LDDA >= max(1,N).
[out]	dinvA_array	COMPLEX array 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_vbatched()

void magmablas_dtrtri_diag_vbatched	(	magma_uplo_t	uplo,
		magma_diag_t	diag,
		magma_int_t	nmax,
		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.

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]	nmax	INTEGER. maximum value of n.
[in]	n	INTEGER array, dimension(batchCount) On entry, each entry specifies the order of the corresponding matrix A. N >= 0.
[in]	dA_array	DOUBLE PRECISION array of dimension ( ldda, n ) The triangular matrix A. If UPLO = 'U', 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 = 'L', 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 = 'U', the diagonal elements of A are also not referenced and are assumed to be 1.
[in]	ldda	INTEGER. The leading dimension of the array A. LDDA >= max(1,N).
[out]	dinvA_array	DOUBLE PRECISION array 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_vbatched()

void magmablas_strtri_diag_vbatched	(	magma_uplo_t	uplo,
		magma_diag_t	diag,
		magma_int_t	nmax,
		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.

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]	nmax	INTEGER. maximum value of n.
[in]	n	INTEGER array, dimension(batchCount) On entry, each entry specifies the order of the corresponding matrix A. N >= 0.
[in]	dA_array	REAL array of dimension ( ldda, n ) The triangular matrix A. If UPLO = 'U', 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 = 'L', 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 = 'U', the diagonal elements of A are also not referenced and are assumed to be 1.
[in]	ldda	INTEGER. The leading dimension of the array A. LDDA >= max(1,N).
[out]	dinvA_array	REAL array 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_vbatched()

void magmablas_ztrtri_diag_vbatched	(	magma_uplo_t	uplo,
		magma_diag_t	diag,
		magma_int_t	nmax,
		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.

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]	nmax	INTEGER. maximum value of n.
[in]	n	INTEGER array, dimension(batchCount) On entry, each entry specifies the order of the corresponding matrix A. N >= 0.
[in]	dA_array	COMPLEX_16 array of dimension ( ldda, n ) The triangular matrix A. If UPLO = 'U', 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 = 'L', 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 = 'U', the diagonal elements of A are also not referenced and are assumed to be 1.
[in]	ldda	INTEGER. The leading dimension of the array A. LDDA >= max(1,N).
[out]	dinvA_array	COMPLEX_16 array 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.