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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...
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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...
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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...
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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...
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magma_int_t magma_cgetrs_batched |
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magma_trans_t |
trans, |
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magma_int_t |
n, |
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magma_int_t |
nrhs, |
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magmaFloatComplex ** |
dA_array, |
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magma_int_t |
ldda, |
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magma_int_t ** |
dipiv_array, |
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magmaFloatComplex ** |
dB_array, |
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magma_int_t |
lddb, |
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magma_int_t |
batchCount, |
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magma_queue_t |
queue |
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) |
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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
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[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)
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- Parameters
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[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 |
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magma_trans_t |
trans, |
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magma_int_t |
n, |
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magma_int_t |
nrhs, |
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double ** |
dA_array, |
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magma_int_t |
ldda, |
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magma_int_t ** |
dipiv_array, |
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double ** |
dB_array, |
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magma_int_t |
lddb, |
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magma_int_t |
batchCount, |
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magma_queue_t |
queue |
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) |
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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
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[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)
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- Parameters
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[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 |
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magma_trans_t |
trans, |
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magma_int_t |
n, |
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magma_int_t |
nrhs, |
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float ** |
dA_array, |
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magma_int_t |
ldda, |
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magma_int_t ** |
dipiv_array, |
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float ** |
dB_array, |
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magma_int_t |
lddb, |
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magma_int_t |
batchCount, |
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magma_queue_t |
queue |
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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
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[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)
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- Parameters
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[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 |
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magma_trans_t |
trans, |
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magma_int_t |
n, |
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magma_int_t |
nrhs, |
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magmaDoubleComplex ** |
dA_array, |
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magma_int_t |
ldda, |
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magma_int_t ** |
dipiv_array, |
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magmaDoubleComplex ** |
dB_array, |
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magma_int_t |
lddb, |
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magma_int_t |
batchCount, |
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magma_queue_t |
queue |
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) |
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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
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[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)
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- Parameters
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[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. |