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

Detailed Description

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]uplomagma_uplo_t
  • = MagmaUpper: Upper triangle of A is stored;
  • = MagmaLower: Lower triangle of A is stored.
[in]nINTEGER The order of the matrix A. N >= 0.
[in]nrhsINTEGER The number of right hand sides, i.e., the number of columns of the matrix B. NRHS >= 0.
[in]dA_arrayArray 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]lddaINTEGER The leading dimension of each array A. LDDA >= max(1,N).
[in,out]dB_arrayArray 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]lddbINTEGER The leading dimension of each array B. LDDB >= max(1,N).
[in]batchCountINTEGER The number of matrices to operate on.
[in]queuemagma_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]uplomagma_uplo_t
  • = MagmaUpper: Upper triangle of A is stored;
  • = MagmaLower: Lower triangle of A is stored.
[in]nINTEGER The order of the matrix A. N >= 0.
[in]nrhsINTEGER The number of right hand sides, i.e., the number of columns of the matrix B. NRHS >= 0.
[in]dA_arrayArray 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]lddaINTEGER The leading dimension of each array A. LDDA >= max(1,N).
[in,out]dB_arrayArray 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]lddbINTEGER The leading dimension of each array B. LDDB >= max(1,N).
[in]batchCountINTEGER The number of matrices to operate on.
[in]queuemagma_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]uplomagma_uplo_t
  • = MagmaUpper: Upper triangle of A is stored;
  • = MagmaLower: Lower triangle of A is stored.
[in]nINTEGER The order of the matrix A. N >= 0.
[in]nrhsINTEGER The number of right hand sides, i.e., the number of columns of the matrix B. NRHS >= 0.
[in]dA_arrayArray 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]lddaINTEGER The leading dimension of each array A. LDDA >= max(1,N).
[in,out]dB_arrayArray 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]lddbINTEGER The leading dimension of each array B. LDDB >= max(1,N).
[in]batchCountINTEGER The number of matrices to operate on.
[in]queuemagma_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]uplomagma_uplo_t
  • = MagmaUpper: Upper triangle of A is stored;
  • = MagmaLower: Lower triangle of A is stored.
[in]nINTEGER The order of the matrix A. N >= 0.
[in]nrhsINTEGER The number of right hand sides, i.e., the number of columns of the matrix B. NRHS >= 0.
[in]dA_arrayArray 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]lddaINTEGER The leading dimension of each array A. LDDA >= max(1,N).
[in,out]dB_arrayArray 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]lddbINTEGER The leading dimension of each array B. LDDB >= max(1,N).
[in]batchCountINTEGER The number of matrices to operate on.
[in]queuemagma_queue_t Queue to execute in.