getrs: LU forward and back solves

Functions
magma_int_t	magma_cgetrs_batched (magma_trans_t trans, magma_int_t n, magma_int_t nrhs, magmaFloatComplex **dA_array, magma_int_t ldda, magma_int_t **dipiv_array, magmaFloatComplex **dB_array, magma_int_t lddb, magma_int_t batchCount, magma_queue_t queue)
	CGETRS solves a system of linear equations A * X = B, A**T * X = B, or A**H * X = B with a general N-by-N matrix A using the LU factorization computed by CGETRF. More...
magma_int_t	magma_dgetrs_batched (magma_trans_t trans, magma_int_t n, magma_int_t nrhs, double **dA_array, magma_int_t ldda, magma_int_t **dipiv_array, double **dB_array, magma_int_t lddb, magma_int_t batchCount, magma_queue_t queue)
	DGETRS solves a system of linear equations A * X = B, A**T * X = B, or A**H * X = B with a general N-by-N matrix A using the LU factorization computed by DGETRF. More...
magma_int_t	magma_sgetrs_batched (magma_trans_t trans, magma_int_t n, magma_int_t nrhs, float **dA_array, magma_int_t ldda, magma_int_t **dipiv_array, float **dB_array, magma_int_t lddb, magma_int_t batchCount, magma_queue_t queue)
	SGETRS solves a system of linear equations A * X = B, A**T * X = B, or A**H * X = B with a general N-by-N matrix A using the LU factorization computed by SGETRF. More...
magma_int_t	magma_zgetrs_batched (magma_trans_t trans, magma_int_t n, magma_int_t nrhs, magmaDoubleComplex **dA_array, magma_int_t ldda, magma_int_t **dipiv_array, magmaDoubleComplex **dB_array, magma_int_t lddb, magma_int_t batchCount, magma_queue_t queue)
	ZGETRS solves a system of linear equations A * X = B, A**T * X = B, or A**H * X = B with a general N-by-N matrix A using the LU factorization computed by ZGETRF. More...

Detailed Description

Function Documentation

magma_int_t magma_cgetrs_batched	(	magma_trans_t	trans,
		magma_int_t	n,
		magma_int_t	nrhs,
		magmaFloatComplex **	dA_array,
		magma_int_t	ldda,
		magma_int_t **	dipiv_array,
		magmaFloatComplex **	dB_array,
		magma_int_t	lddb,
		magma_int_t	batchCount,
		magma_queue_t	queue
	)

CGETRS solves a system of linear equations A * X = B, A**T * X = B, or A**H * X = B with a general N-by-N matrix A using the LU factorization computed by CGETRF.

This is a batched version that solves batchCount N-by-N matrices in parallel. dA, dB, and ipiv become arrays with one entry per matrix.

Parameters

[in]	trans	magma_trans_t Specifies the form of the system of equations: = MagmaNoTrans: A * X = B (No transpose) = MagmaTrans: A**T * X = B (Transpose) = MagmaConjTrans: A**H * X = B (Conjugate transpose)
[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,out]	dA_array	Array of pointers, dimension (batchCount). Each is a COMPLEX array on the GPU, dimension (LDDA,N). On entry, each pointer is an M-by-N matrix to be factored. On exit, the factors L and U from the factorization A = P*L*U; the unit diagonal elements of L are not stored.
[in]	ldda	INTEGER The leading dimension of each array A. LDDA >= max(1,M).
[out]	dipiv_array	Array of pointers, dimension (batchCount), for corresponding matrices. Each is an INTEGER array, dimension (min(M,N)) The pivot indices; for 1 <= i <= min(M,N), row i of the matrix was interchanged with row IPIV(i).
[in,out]	dB_array	Array of pointers, dimension (batchCount). Each is a COMPLEX array on the GPU, dimension (LDDB,N). On entry, each pointer is an right hand side matrix B. On exit, each pointer is the solution matrix X.
[in]	lddb	INTEGER The leading dimension of the array B. LDB >= max(1,N).
[in]	batchCount	INTEGER The number of matrices to operate on.
[in]	queue	magma_queue_t Queue to execute in.

magma_int_t magma_dgetrs_batched	(	magma_trans_t	trans,
		magma_int_t	n,
		magma_int_t	nrhs,
		double **	dA_array,
		magma_int_t	ldda,
		magma_int_t **	dipiv_array,
		double **	dB_array,
		magma_int_t	lddb,
		magma_int_t	batchCount,
		magma_queue_t	queue
	)

DGETRS solves a system of linear equations A * X = B, A**T * X = B, or A**H * X = B with a general N-by-N matrix A using the LU factorization computed by DGETRF.

This is a batched version that solves batchCount N-by-N matrices in parallel. dA, dB, and ipiv become arrays with one entry per matrix.

Parameters

[in]	trans	magma_trans_t Specifies the form of the system of equations: = MagmaNoTrans: A * X = B (No transpose) = MagmaTrans: A**T * X = B (Transpose) = MagmaConjTrans: A**H * X = B (Conjugate transpose)
[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,out]	dA_array	Array of pointers, dimension (batchCount). Each is a DOUBLE PRECISION array on the GPU, dimension (LDDA,N). On entry, each pointer is an M-by-N matrix to be factored. On exit, the factors L and U from the factorization A = P*L*U; the unit diagonal elements of L are not stored.
[in]	ldda	INTEGER The leading dimension of each array A. LDDA >= max(1,M).
[out]	dipiv_array	Array of pointers, dimension (batchCount), for corresponding matrices. Each is an INTEGER array, dimension (min(M,N)) The pivot indices; for 1 <= i <= min(M,N), row i of the matrix was interchanged with row IPIV(i).
[in,out]	dB_array	Array of pointers, dimension (batchCount). Each is a DOUBLE PRECISION array on the GPU, dimension (LDDB,N). On entry, each pointer is an right hand side matrix B. On exit, each pointer is the solution matrix X.
[in]	lddb	INTEGER The leading dimension of the array B. LDB >= max(1,N).
[in]	batchCount	INTEGER The number of matrices to operate on.
[in]	queue	magma_queue_t Queue to execute in.

magma_int_t magma_sgetrs_batched	(	magma_trans_t	trans,
		magma_int_t	n,
		magma_int_t	nrhs,
		float **	dA_array,
		magma_int_t	ldda,
		magma_int_t **	dipiv_array,
		float **	dB_array,
		magma_int_t	lddb,
		magma_int_t	batchCount,
		magma_queue_t	queue
	)

SGETRS solves a system of linear equations A * X = B, A**T * X = B, or A**H * X = B with a general N-by-N matrix A using the LU factorization computed by SGETRF.

This is a batched version that solves batchCount N-by-N matrices in parallel. dA, dB, and ipiv become arrays with one entry per matrix.

Parameters

[in]	trans	magma_trans_t Specifies the form of the system of equations: = MagmaNoTrans: A * X = B (No transpose) = MagmaTrans: A**T * X = B (Transpose) = MagmaConjTrans: A**H * X = B (Conjugate transpose)
[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,out]	dA_array	Array of pointers, dimension (batchCount). Each is a REAL array on the GPU, dimension (LDDA,N). On entry, each pointer is an M-by-N matrix to be factored. On exit, the factors L and U from the factorization A = P*L*U; the unit diagonal elements of L are not stored.
[in]	ldda	INTEGER The leading dimension of each array A. LDDA >= max(1,M).
[out]	dipiv_array	Array of pointers, dimension (batchCount), for corresponding matrices. Each is an INTEGER array, dimension (min(M,N)) The pivot indices; for 1 <= i <= min(M,N), row i of the matrix was interchanged with row IPIV(i).
[in,out]	dB_array	Array of pointers, dimension (batchCount). Each is a REAL array on the GPU, dimension (LDDB,N). On entry, each pointer is an right hand side matrix B. On exit, each pointer is the solution matrix X.
[in]	lddb	INTEGER The leading dimension of the array B. LDB >= max(1,N).
[in]	batchCount	INTEGER The number of matrices to operate on.
[in]	queue	magma_queue_t Queue to execute in.

magma_int_t magma_zgetrs_batched	(	magma_trans_t	trans,
		magma_int_t	n,
		magma_int_t	nrhs,
		magmaDoubleComplex **	dA_array,
		magma_int_t	ldda,
		magma_int_t **	dipiv_array,
		magmaDoubleComplex **	dB_array,
		magma_int_t	lddb,
		magma_int_t	batchCount,
		magma_queue_t	queue
	)

ZGETRS solves a system of linear equations A * X = B, A**T * X = B, or A**H * X = B with a general N-by-N matrix A using the LU factorization computed by ZGETRF.

This is a batched version that solves batchCount N-by-N matrices in parallel. dA, dB, and ipiv become arrays with one entry per matrix.

Parameters

[in]	trans	magma_trans_t Specifies the form of the system of equations: = MagmaNoTrans: A * X = B (No transpose) = MagmaTrans: A**T * X = B (Transpose) = MagmaConjTrans: A**H * X = B (Conjugate transpose)
[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,out]	dA_array	Array of pointers, dimension (batchCount). Each is a COMPLEX_16 array on the GPU, dimension (LDDA,N). On entry, each pointer is an M-by-N matrix to be factored. On exit, the factors L and U from the factorization A = P*L*U; the unit diagonal elements of L are not stored.
[in]	ldda	INTEGER The leading dimension of each array A. LDDA >= max(1,M).
[out]	dipiv_array	Array of pointers, dimension (batchCount), for corresponding matrices. Each is an INTEGER array, dimension (min(M,N)) The pivot indices; for 1 <= i <= min(M,N), row i of the matrix was interchanged with row IPIV(i).
[in,out]	dB_array	Array of pointers, dimension (batchCount). Each is a COMPLEX_16 array on the GPU, dimension (LDDB,N). On entry, each pointer is an right hand side matrix B. On exit, each pointer is the solution matrix X.
[in]	lddb	INTEGER The leading dimension of the array B. LDB >= max(1,N).
[in]	batchCount	INTEGER The number of matrices to operate on.
[in]	queue	magma_queue_t Queue to execute in.