MAGMA
2.3.0
Matrix Algebra for GPU and Multicore Architectures

Functions  
magma_int_t  magma_cposv_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 *dinfo_array, magma_int_t batchCount, magma_queue_t queue) 
CPOSV computes the solution to a complex system of linear equations A * X = B, where A is an NbyN Hermitian positive definite matrix and X and B are NbyNRHS matrices. More...  
magma_int_t  magma_dposv_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 *dinfo_array, magma_int_t batchCount, magma_queue_t queue) 
DPOSV computes the solution to a real system of linear equations A * X = B, where A is an NbyN symmetric positive definite matrix and X and B are NbyNRHS matrices. More...  
magma_int_t  magma_sposv_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 *dinfo_array, magma_int_t batchCount, magma_queue_t queue) 
SPOSV computes the solution to a real system of linear equations A * X = B, where A is an NbyN symmetric positive definite matrix and X and B are NbyNRHS matrices. More...  
magma_int_t  magma_zposv_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 *dinfo_array, magma_int_t batchCount, magma_queue_t queue) 
ZPOSV computes the solution to a complex system of linear equations A * X = B, where A is an NbyN Hermitian positive definite matrix and X and B are NbyNRHS matrices. More...  
magma_int_t magma_cposv_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 *  dinfo_array,  
magma_int_t  batchCount,  
magma_queue_t  queue  
) 
CPOSV computes the solution to a complex system of linear equations A * X = B, where A is an NbyN Hermitian positive definite matrix and X and B are NbyNRHS matrices.
The Cholesky decomposition is used to factor A as A = U**H * U, if UPLO = MagmaUpper, or A = L * L**H, if UPLO = MagmaLower, where U is an upper triangular matrix and L is a lower triangular matrix. The factored form of A is then used to solve the system of equations A * X = B.
[in]  uplo  magma_uplo_t

[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 a Hermitian matrix A. If UPLO = MagmaUpper, the leading NbyN upper triangular part of A contains the upper triangular part of the matrix A, and the strictly lower triangular part of dA is not referenced. If UPLO = MagmaLower, the leading NbyN lower triangular part of A contains the lower triangular part of the matrix A, and the strictly upper triangular part of A is not referenced. On exit, if corresponding entry in dinfo_array = 0, each pointer is the factor U or L from the Cholesky factorization A = U**H*U or A = L*L**H. 
[in]  ldda  INTEGER The leading dimension of each array A. LDA >= max(1,N). 
[in,out]  dB_array  Array of pointers, dimension (batchCount). Each is a COMPLEX array on the GPU, dimension (LDB,NRHS) On entry, each pointer is a right hand side matrix B. On exit, each pointer is the corresponding solution matrix X. 
[in]  lddb  INTEGER The leading dimension of each array B. LDB >= max(1,N). 
[out]  dinfo_array  Array of INTEGERs, dimension (batchCount), for corresponding matrices.

[in]  batchCount  INTEGER The number of matrices to operate on. 
[in]  queue  magma_queue_t Queue to execute in. 
magma_int_t magma_dposv_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 *  dinfo_array,  
magma_int_t  batchCount,  
magma_queue_t  queue  
) 
DPOSV computes the solution to a real system of linear equations A * X = B, where A is an NbyN symmetric positive definite matrix and X and B are NbyNRHS matrices.
The Cholesky decomposition is used to factor A as A = U**H * U, if UPLO = MagmaUpper, or A = L * L**H, if UPLO = MagmaLower, where U is an upper triangular matrix and L is a lower triangular matrix. The factored form of A is then used to solve the system of equations A * X = B.
[in]  uplo  magma_uplo_t

[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 a symmetric matrix A. If UPLO = MagmaUpper, the leading NbyN upper triangular part of A contains the upper triangular part of the matrix A, and the strictly lower triangular part of dA is not referenced. If UPLO = MagmaLower, the leading NbyN lower triangular part of A contains the lower triangular part of the matrix A, and the strictly upper triangular part of A is not referenced. On exit, if corresponding entry in dinfo_array = 0, each pointer is the factor U or L from the Cholesky factorization A = U**H*U or A = L*L**H. 
[in]  ldda  INTEGER The leading dimension of each array A. LDA >= max(1,N). 
[in,out]  dB_array  Array of pointers, dimension (batchCount). Each is a DOUBLE PRECISION array on the GPU, dimension (LDB,NRHS) On entry, each pointer is a right hand side matrix B. On exit, each pointer is the corresponding solution matrix X. 
[in]  lddb  INTEGER The leading dimension of each array B. LDB >= max(1,N). 
[out]  dinfo_array  Array of INTEGERs, dimension (batchCount), for corresponding matrices.

[in]  batchCount  INTEGER The number of matrices to operate on. 
[in]  queue  magma_queue_t Queue to execute in. 
magma_int_t magma_sposv_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 *  dinfo_array,  
magma_int_t  batchCount,  
magma_queue_t  queue  
) 
SPOSV computes the solution to a real system of linear equations A * X = B, where A is an NbyN symmetric positive definite matrix and X and B are NbyNRHS matrices.
The Cholesky decomposition is used to factor A as A = U**H * U, if UPLO = MagmaUpper, or A = L * L**H, if UPLO = MagmaLower, where U is an upper triangular matrix and L is a lower triangular matrix. The factored form of A is then used to solve the system of equations A * X = B.
[in]  uplo  magma_uplo_t

[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 a symmetric matrix A. If UPLO = MagmaUpper, the leading NbyN upper triangular part of A contains the upper triangular part of the matrix A, and the strictly lower triangular part of dA is not referenced. If UPLO = MagmaLower, the leading NbyN lower triangular part of A contains the lower triangular part of the matrix A, and the strictly upper triangular part of A is not referenced. On exit, if corresponding entry in dinfo_array = 0, each pointer is the factor U or L from the Cholesky factorization A = U**H*U or A = L*L**H. 
[in]  ldda  INTEGER The leading dimension of each array A. LDA >= max(1,N). 
[in,out]  dB_array  Array of pointers, dimension (batchCount). Each is a REAL array on the GPU, dimension (LDB,NRHS) On entry, each pointer is a right hand side matrix B. On exit, each pointer is the corresponding solution matrix X. 
[in]  lddb  INTEGER The leading dimension of each array B. LDB >= max(1,N). 
[out]  dinfo_array  Array of INTEGERs, dimension (batchCount), for corresponding matrices.

[in]  batchCount  INTEGER The number of matrices to operate on. 
[in]  queue  magma_queue_t Queue to execute in. 
magma_int_t magma_zposv_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 *  dinfo_array,  
magma_int_t  batchCount,  
magma_queue_t  queue  
) 
ZPOSV computes the solution to a complex system of linear equations A * X = B, where A is an NbyN Hermitian positive definite matrix and X and B are NbyNRHS matrices.
The Cholesky decomposition is used to factor A as A = U**H * U, if UPLO = MagmaUpper, or A = L * L**H, if UPLO = MagmaLower, where U is an upper triangular matrix and L is a lower triangular matrix. The factored form of A is then used to solve the system of equations A * X = B.
[in]  uplo  magma_uplo_t

[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 a Hermitian matrix A. If UPLO = MagmaUpper, the leading NbyN upper triangular part of A contains the upper triangular part of the matrix A, and the strictly lower triangular part of dA is not referenced. If UPLO = MagmaLower, the leading NbyN lower triangular part of A contains the lower triangular part of the matrix A, and the strictly upper triangular part of A is not referenced. On exit, if corresponding entry in dinfo_array = 0, each pointer is the factor U or L from the Cholesky factorization A = U**H*U or A = L*L**H. 
[in]  ldda  INTEGER The leading dimension of each array A. LDA >= max(1,N). 
[in,out]  dB_array  Array of pointers, dimension (batchCount). Each is a COMPLEX_16 array on the GPU, dimension (LDB,NRHS) On entry, each pointer is a right hand side matrix B. On exit, each pointer is the corresponding solution matrix X. 
[in]  lddb  INTEGER The leading dimension of each array B. LDB >= max(1,N). 
[out]  dinfo_array  Array of INTEGERs, dimension (batchCount), for corresponding matrices.

[in]  batchCount  INTEGER The number of matrices to operate on. 
[in]  queue  magma_queue_t Queue to execute in. 