MAGMA 2.9.0
Matrix Algebra for GPU and Multicore Architectures
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Functions
getrs: LU forward and back solves
Batched LA » Linear system solvers » General matrices: LU

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.
 
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.
 
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.
 
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.
 

Detailed Description

Function Documentation

◆ magma_cgetrs_batched()

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]transmagma_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)
Parameters
[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 COMPLEX array on the GPU, dimension (LDDA,N) The factors L and U from the factorization A = P*L*U as computed by batched CGETRF.
[in]lddaINTEGER The leading dimension of each array A. LDDA >= max(1,M).
[in]dipiv_arrayArray of pointers, dimension (batchCount), for corresponding matrices. Each is an INTEGER array, dimension (N) The pivot indices from CGETRF; for 1 <= i <= N, row i of the matrix was interchanged with row IPIV(i).
[in,out]dB_arrayArray 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]lddbINTEGER The leading dimension of the array B. LDB >= max(1,N).
[in]batchCountINTEGER The number of matrices to operate on.
[in]queuemagma_queue_t Queue to execute in.

◆ magma_dgetrs_batched()

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]transmagma_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)
Parameters
[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 DOUBLE PRECISION array on the GPU, dimension (LDDA,N) The factors L and U from the factorization A = P*L*U as computed by batched DGETRF.
[in]lddaINTEGER The leading dimension of each array A. LDDA >= max(1,M).
[in]dipiv_arrayArray of pointers, dimension (batchCount), for corresponding matrices. Each is an INTEGER array, dimension (N) The pivot indices from DGETRF; for 1 <= i <= N, row i of the matrix was interchanged with row IPIV(i).
[in,out]dB_arrayArray 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]lddbINTEGER The leading dimension of the array B. LDB >= max(1,N).
[in]batchCountINTEGER The number of matrices to operate on.
[in]queuemagma_queue_t Queue to execute in.

◆ magma_sgetrs_batched()

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]transmagma_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)
Parameters
[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 REAL array on the GPU, dimension (LDDA,N) The factors L and U from the factorization A = P*L*U as computed by batched SGETRF.
[in]lddaINTEGER The leading dimension of each array A. LDDA >= max(1,M).
[in]dipiv_arrayArray of pointers, dimension (batchCount), for corresponding matrices. Each is an INTEGER array, dimension (N) The pivot indices from SGETRF; for 1 <= i <= N, row i of the matrix was interchanged with row IPIV(i).
[in,out]dB_arrayArray 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]lddbINTEGER The leading dimension of the array B. LDB >= max(1,N).
[in]batchCountINTEGER The number of matrices to operate on.
[in]queuemagma_queue_t Queue to execute in.

◆ magma_zgetrs_batched()

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]transmagma_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)
Parameters
[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 COMPLEX_16 array on the GPU, dimension (LDDA,N) The factors L and U from the factorization A = P*L*U as computed by batched ZGETRF.
[in]lddaINTEGER The leading dimension of each array A. LDDA >= max(1,M).
[in]dipiv_arrayArray of pointers, dimension (batchCount), for corresponding matrices. Each is an INTEGER array, dimension (N) The pivot indices from ZGETRF; for 1 <= i <= N, row i of the matrix was interchanged with row IPIV(i).
[in,out]dB_arrayArray 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]lddbINTEGER The leading dimension of the array B. LDB >= max(1,N).
[in]batchCountINTEGER The number of matrices to operate on.
[in]queuemagma_queue_t Queue to execute in.