potrs: Cholesky forward and back solves

Functions
magma_int_t	magma_cpotrs_batched (magma_uplo_t uplo, magma_int_t n, magma_int_t nrhs, magmaFloatComplex **dA_array, magma_int_t ldda, magmaFloatComplex **dB_array, magma_int_t lddb, magma_int_t batchCount, magma_queue_t queue)
	CPOTRS solves a system of linear equations A*X = B with a Hermitian positive definite matrix A using the Cholesky factorization A = U**H*U or A = L*L**H computed by CPOTRF.
magma_int_t	magma_dpotrs_batched (magma_uplo_t uplo, magma_int_t n, magma_int_t nrhs, double **dA_array, magma_int_t ldda, double **dB_array, magma_int_t lddb, magma_int_t batchCount, magma_queue_t queue)
	DPOTRS solves a system of linear equations A*X = B with a symmetric positive definite matrix A using the Cholesky factorization A = U**H*U or A = L*L**H computed by DPOTRF.
magma_int_t	magma_spotrs_batched (magma_uplo_t uplo, magma_int_t n, magma_int_t nrhs, float **dA_array, magma_int_t ldda, float **dB_array, magma_int_t lddb, magma_int_t batchCount, magma_queue_t queue)
	SPOTRS solves a system of linear equations A*X = B with a symmetric positive definite matrix A using the Cholesky factorization A = U**H*U or A = L*L**H computed by SPOTRF.
magma_int_t	magma_zpotrs_batched (magma_uplo_t uplo, magma_int_t n, magma_int_t nrhs, magmaDoubleComplex **dA_array, magma_int_t ldda, magmaDoubleComplex **dB_array, magma_int_t lddb, magma_int_t batchCount, magma_queue_t queue)
	ZPOTRS solves a system of linear equations A*X = B with a Hermitian positive definite matrix A using the Cholesky factorization A = U**H*U or A = L*L**H computed by ZPOTRF.

Detailed Description

Function Documentation

magma_cpotrs_batched()

magma_int_t magma_cpotrs_batched	(	magma_uplo_t	uplo,
		magma_int_t	n,
		magma_int_t	nrhs,
		magmaFloatComplex **	dA_array,
		magma_int_t	ldda,
		magmaFloatComplex **	dB_array,
		magma_int_t	lddb,
		magma_int_t	batchCount,
		magma_queue_t	queue )

CPOTRS solves a system of linear equations A*X = B with a Hermitian positive definite matrix A using the Cholesky factorization A = U**H*U or A = L*L**H computed by CPOTRF.

Parameters

[in]	uplo	magma_uplo_t = MagmaUpper: Upper triangle of A is stored; = MagmaLower: Lower triangle of A is stored.
[in]	n	INTEGER The order of the matrix A. N >= 0.
[in]	nrhs	INTEGER The number of right hand sides, i.e., the number of columns of the matrix B. NRHS >= 0.
[in]	dA_array	Array of pointers, dimension (batchCount). Each is a COMPLEX array on the GPU, dimension (LDDA,N) The triangular factor U or L from the Cholesky factorization A = U**H*U or A = L*L**H, as computed by CPOTRF.
[in]	ldda	INTEGER The leading dimension of each array A. LDDA >= max(1,N).
[in,out]	dB_array	Array of pointers, dimension (batchCount). Each is a COMPLEX array on the GPU, dimension (LDDB,NRHS) On entry, each pointer is a right hand side matrix B. On exit, the corresponding solution matrix X.
[in]	lddb	INTEGER The leading dimension of each array B. LDDB >= max(1,N).
[in]	batchCount	INTEGER The number of matrices to operate on.
[in]	queue	magma_queue_t Queue to execute in.

magma_dpotrs_batched()

magma_int_t magma_dpotrs_batched	(	magma_uplo_t	uplo,
		magma_int_t	n,
		magma_int_t	nrhs,
		double **	dA_array,
		magma_int_t	ldda,
		double **	dB_array,
		magma_int_t	lddb,
		magma_int_t	batchCount,
		magma_queue_t	queue )

DPOTRS solves a system of linear equations A*X = B with a symmetric positive definite matrix A using the Cholesky factorization A = U**H*U or A = L*L**H computed by DPOTRF.

Parameters

[in]	uplo	magma_uplo_t = MagmaUpper: Upper triangle of A is stored; = MagmaLower: Lower triangle of A is stored.
[in]	n	INTEGER The order of the matrix A. N >= 0.
[in]	nrhs	INTEGER The number of right hand sides, i.e., the number of columns of the matrix B. NRHS >= 0.
[in]	dA_array	Array of pointers, dimension (batchCount). Each is a DOUBLE PRECISION array on the GPU, dimension (LDDA,N) The triangular factor U or L from the Cholesky factorization A = U**H*U or A = L*L**H, as computed by DPOTRF.
[in]	ldda	INTEGER The leading dimension of each array A. LDDA >= max(1,N).
[in,out]	dB_array	Array of pointers, dimension (batchCount). Each is a DOUBLE PRECISION array on the GPU, dimension (LDDB,NRHS) On entry, each pointer is a right hand side matrix B. On exit, the corresponding solution matrix X.
[in]	lddb	INTEGER The leading dimension of each array B. LDDB >= max(1,N).
[in]	batchCount	INTEGER The number of matrices to operate on.
[in]	queue	magma_queue_t Queue to execute in.

magma_spotrs_batched()

magma_int_t magma_spotrs_batched	(	magma_uplo_t	uplo,
		magma_int_t	n,
		magma_int_t	nrhs,
		float **	dA_array,
		magma_int_t	ldda,
		float **	dB_array,
		magma_int_t	lddb,
		magma_int_t	batchCount,
		magma_queue_t	queue )

SPOTRS solves a system of linear equations A*X = B with a symmetric positive definite matrix A using the Cholesky factorization A = U**H*U or A = L*L**H computed by SPOTRF.

Parameters

[in]	uplo	magma_uplo_t = MagmaUpper: Upper triangle of A is stored; = MagmaLower: Lower triangle of A is stored.
[in]	n	INTEGER The order of the matrix A. N >= 0.
[in]	nrhs	INTEGER The number of right hand sides, i.e., the number of columns of the matrix B. NRHS >= 0.
[in]	dA_array	Array of pointers, dimension (batchCount). Each is a REAL array on the GPU, dimension (LDDA,N) The triangular factor U or L from the Cholesky factorization A = U**H*U or A = L*L**H, as computed by SPOTRF.
[in]	ldda	INTEGER The leading dimension of each array A. LDDA >= max(1,N).
[in,out]	dB_array	Array of pointers, dimension (batchCount). Each is a REAL array on the GPU, dimension (LDDB,NRHS) On entry, each pointer is a right hand side matrix B. On exit, the corresponding solution matrix X.
[in]	lddb	INTEGER The leading dimension of each array B. LDDB >= max(1,N).
[in]	batchCount	INTEGER The number of matrices to operate on.
[in]	queue	magma_queue_t Queue to execute in.

magma_zpotrs_batched()

magma_int_t magma_zpotrs_batched	(	magma_uplo_t	uplo,
		magma_int_t	n,
		magma_int_t	nrhs,
		magmaDoubleComplex **	dA_array,
		magma_int_t	ldda,
		magmaDoubleComplex **	dB_array,
		magma_int_t	lddb,
		magma_int_t	batchCount,
		magma_queue_t	queue )

ZPOTRS solves a system of linear equations A*X = B with a Hermitian positive definite matrix A using the Cholesky factorization A = U**H*U or A = L*L**H computed by ZPOTRF.

Parameters

[in]	uplo	magma_uplo_t = MagmaUpper: Upper triangle of A is stored; = MagmaLower: Lower triangle of A is stored.
[in]	n	INTEGER The order of the matrix A. N >= 0.
[in]	nrhs	INTEGER The number of right hand sides, i.e., the number of columns of the matrix B. NRHS >= 0.
[in]	dA_array	Array of pointers, dimension (batchCount). Each is a COMPLEX_16 array on the GPU, dimension (LDDA,N) The triangular factor U or L from the Cholesky factorization A = U**H*U or A = L*L**H, as computed by ZPOTRF.
[in]	ldda	INTEGER The leading dimension of each array A. LDDA >= max(1,N).
[in,out]	dB_array	Array of pointers, dimension (batchCount). Each is a COMPLEX_16 array on the GPU, dimension (LDDB,NRHS) On entry, each pointer is a right hand side matrix B. On exit, the corresponding solution matrix X.
[in]	lddb	INTEGER The leading dimension of each array B. LDDB >= max(1,N).
[in]	batchCount	INTEGER The number of matrices to operate on.
[in]	queue	magma_queue_t Queue to execute in.