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MAGMA
2.7.1
Matrix Algebra for GPU and Multicore Architectures
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Functions | |
magma_int_t | magma_cgetrs_nopiv_batched (magma_trans_t trans, 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 *info_array, 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 without pivoting computed by CGETRF_NOPIV. More... | |
magma_int_t | magma_dgetrs_nopiv_batched (magma_trans_t trans, 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 *info_array, 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 without pivoting computed by DGETRF_NOPIV. More... | |
magma_int_t | magma_sgetrs_nopiv_batched (magma_trans_t trans, 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 *info_array, 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 without pivoting computed by SGETRF_NOPIV. More... | |
magma_int_t | magma_zgetrs_nopiv_batched (magma_trans_t trans, 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 *info_array, 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 without pivoting computed by ZGETRF_NOPIV. More... | |
magma_int_t magma_cgetrs_nopiv_batched | ( | magma_trans_t | trans, |
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 * | info_array, | ||
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 without pivoting computed by CGETRF_NOPIV.
This is a batched version that solves batchCount N-by-N matrices in parallel. dA, dB, become arrays with one entry per matrix.
[in] | trans | magma_trans_t Specifies the form of the system of equations:
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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). |
[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). |
[out] | info_array | Array of INTEGERs, dimension (batchCount), for corresponding matrices.
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[in] | batchCount | INTEGER The number of matrices to operate on. |
[in] | queue | magma_queue_t Queue to execute in. |
magma_int_t magma_dgetrs_nopiv_batched | ( | magma_trans_t | trans, |
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 * | info_array, | ||
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 without pivoting computed by DGETRF_NOPIV.
This is a batched version that solves batchCount N-by-N matrices in parallel. dA, dB, become arrays with one entry per matrix.
[in] | trans | magma_trans_t Specifies the form of the system of equations:
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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). |
[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). |
[out] | info_array | Array of INTEGERs, dimension (batchCount), for corresponding matrices.
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[in] | batchCount | INTEGER The number of matrices to operate on. |
[in] | queue | magma_queue_t Queue to execute in. |
magma_int_t magma_sgetrs_nopiv_batched | ( | magma_trans_t | trans, |
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 * | info_array, | ||
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 without pivoting computed by SGETRF_NOPIV.
This is a batched version that solves batchCount N-by-N matrices in parallel. dA, dB, become arrays with one entry per matrix.
[in] | trans | magma_trans_t Specifies the form of the system of equations:
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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). |
[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). |
[out] | info_array | Array of INTEGERs, dimension (batchCount), for corresponding matrices.
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[in] | batchCount | INTEGER The number of matrices to operate on. |
[in] | queue | magma_queue_t Queue to execute in. |
magma_int_t magma_zgetrs_nopiv_batched | ( | magma_trans_t | trans, |
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 * | info_array, | ||
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 without pivoting computed by ZGETRF_NOPIV.
This is a batched version that solves batchCount N-by-N matrices in parallel. dA, dB, become arrays with one entry per matrix.
[in] | trans | magma_trans_t Specifies the form of the system of equations:
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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). |
[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). |
[out] | info_array | Array of INTEGERs, dimension (batchCount), for corresponding matrices.
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[in] | batchCount | INTEGER The number of matrices to operate on. |
[in] | queue | magma_queue_t Queue to execute in. |