MAGMA  2.3.0 Matrix Algebra for GPU and Multicore Architectures
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. More...

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. More...

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. More...

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. More...

## Function Documentation

 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.
 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.
 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.
 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.