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

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. More...

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. More...

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. More...

## Function Documentation

 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_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_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_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.