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MAGMA
2.7.1
Matrix Algebra for GPU and Multicore Architectures
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Functions | |
magma_int_t | magma_zqr (magma_int_t m, magma_int_t n, magma_z_matrix A, magma_int_t lda, magma_z_matrix *Q, magma_z_matrix *R, magma_queue_t queue) |
This is a wrapper to call MAGMA QR on the data structure of sparse matrices. More... | |
magma_int_t | magma_zbpcg (magma_z_matrix A, magma_z_matrix b, magma_z_matrix *x, magma_z_solver_par *solver_par, magma_z_preconditioner *precond_par, magma_queue_t queue) |
Solves a system of linear equations A * X = B where A is a complex Hermitian N-by-N positive definite matrix A. More... | |
magma_int_t | magma_zcg (magma_z_matrix A, magma_z_matrix b, magma_z_matrix *x, magma_z_solver_par *solver_par, magma_queue_t queue) |
Solves a system of linear equations A * X = B where A is a complex Hermitian N-by-N positive definite matrix A. More... | |
magma_int_t | magma_zcg_merge (magma_z_matrix A, magma_z_matrix b, magma_z_matrix *x, magma_z_solver_par *solver_par, magma_queue_t queue) |
Solves a system of linear equations A * X = B where A is a complex matrix A. More... | |
magma_int_t | magma_zcg_res (magma_z_matrix A, magma_z_matrix b, magma_z_matrix *x, magma_z_solver_par *solver_par, magma_queue_t queue) |
Solves a system of linear equations A * X = B where A is a complex Hermitian N-by-N positive definite matrix A. More... | |
magma_int_t | magma_zcgs_merge (magma_z_matrix A, magma_z_matrix b, magma_z_matrix *x, magma_z_solver_par *solver_par, magma_queue_t queue) |
Solves a system of linear equations A * X = B where A is a complex Hermitian N-by-N positive definite matrix A. More... | |
magma_int_t | magma_zidr_merge (magma_z_matrix A, magma_z_matrix b, magma_z_matrix *x, magma_z_solver_par *solver_par, magma_queue_t queue) |
Solves a system of linear equations A * X = B where A is a general complex N-by-N matrix A. More... | |
magma_int_t | magma_zidr_strms (magma_z_matrix A, magma_z_matrix b, magma_z_matrix *x, magma_z_solver_par *solver_par, magma_queue_t queue) |
Solves a system of linear equations A * X = B where A is a general complex N-by-N matrix A. More... | |
magma_int_t | magma_zpcg_merge (magma_z_matrix A, magma_z_matrix b, magma_z_matrix *x, magma_z_solver_par *solver_par, magma_z_preconditioner *precond_par, magma_queue_t queue) |
Solves a system of linear equations A * X = B where A is a complex matrix A. More... | |
magma_int_t | magma_zpidr_merge (magma_z_matrix A, magma_z_matrix b, magma_z_matrix *x, magma_z_solver_par *solver_par, magma_z_preconditioner *precond_par, magma_queue_t queue) |
Solves a system of linear equations A * X = B where A is a complex Hermitian N-by-N positive definite matrix A. More... | |
magma_int_t | magma_zpidr_strms (magma_z_matrix A, magma_z_matrix b, magma_z_matrix *x, magma_z_solver_par *solver_par, magma_z_preconditioner *precond_par, magma_queue_t queue) |
Solves a system of linear equations A * X = B where A is a complex Hermitian N-by-N positive definite matrix A. More... | |
magma_int_t | magma_zptfqmr (magma_z_matrix A, magma_z_matrix b, magma_z_matrix *x, magma_z_solver_par *solver_par, magma_z_preconditioner *precond_par, magma_queue_t queue) |
Solves a system of linear equations A * X = B where A is a complex Hermitian N-by-N positive definite matrix A. More... | |
magma_int_t magma_zqr | ( | magma_int_t | m, |
magma_int_t | n, | ||
magma_z_matrix | A, | ||
magma_int_t | lda, | ||
magma_z_matrix * | Q, | ||
magma_z_matrix * | R, | ||
magma_queue_t | queue | ||
) |
This is a wrapper to call MAGMA QR on the data structure of sparse matrices.
Output matrices Q and R reside on the same memory location as matrix A. On exit, Q is a M-by-N matrix in lda-by-N space. On exit, R is a min(M,N)-by-N upper trapezoidal matrix.
[in] | m | magma_int_t dimension m |
[in] | n | magma_int_t dimension n |
[in] | A | magma_z_matrix input matrix A |
[in] | lda | magma_int_t leading dimension matrix A |
[in,out] | Q | magma_z_matrix* input matrix Q |
[in,out] | R | magma_z_matrix* input matrix R |
[in] | queue | magma_queue_t Queue to execute in. |
magma_int_t magma_zbpcg | ( | magma_z_matrix | A, |
magma_z_matrix | b, | ||
magma_z_matrix * | x, | ||
magma_z_solver_par * | solver_par, | ||
magma_z_preconditioner * | precond_par, | ||
magma_queue_t | queue | ||
) |
Solves a system of linear equations A * X = B where A is a complex Hermitian N-by-N positive definite matrix A.
This is a GPU implementation of the block preconditioned Conjugate Gradient method.
[in] | A | magma_z_matrix input matrix A |
[in] | b | magma_z_matrix RHS b - can be a block |
[in,out] | x | magma_z_matrix* solution approximation |
[in,out] | solver_par | magma_z_solver_par* solver parameters |
[in] | precond_par | magma_z_preconditioner* preconditioner |
[in] | queue | magma_queue_t Queue to execute in. |
magma_int_t magma_zcg | ( | magma_z_matrix | A, |
magma_z_matrix | b, | ||
magma_z_matrix * | x, | ||
magma_z_solver_par * | solver_par, | ||
magma_queue_t | queue | ||
) |
Solves a system of linear equations A * X = B where A is a complex Hermitian N-by-N positive definite matrix A.
This is a GPU implementation of the Conjugate Gradient method.
[in] | A | magma_z_matrix input matrix A |
[in] | b | magma_z_matrix RHS b |
[in,out] | x | magma_z_matrix* solution approximation |
[in,out] | solver_par | magma_z_solver_par* solver parameters |
[in] | queue | magma_queue_t Queue to execute in. |
magma_int_t magma_zcg_merge | ( | magma_z_matrix | A, |
magma_z_matrix | b, | ||
magma_z_matrix * | x, | ||
magma_z_solver_par * | solver_par, | ||
magma_queue_t | queue | ||
) |
Solves a system of linear equations A * X = B where A is a complex matrix A.
This is a GPU implementation of the Conjugate Gradient method in variant, where multiple operations are merged into one compute kernel.
[in] | A | magma_z_matrix input matrix A |
[in] | b | magma_z_matrix RHS b |
[in,out] | x | magma_z_matrix* solution approximation |
[in,out] | solver_par | magma_z_solver_par* solver parameters |
[in] | queue | magma_queue_t Queue to execute in. |
magma_int_t magma_zcg_res | ( | magma_z_matrix | A, |
magma_z_matrix | b, | ||
magma_z_matrix * | x, | ||
magma_z_solver_par * | solver_par, | ||
magma_queue_t | queue | ||
) |
Solves a system of linear equations A * X = B where A is a complex Hermitian N-by-N positive definite matrix A.
This is a GPU implementation of the preconditioned Conjugate Gradient method.
[in] | A | magma_z_matrix input matrix A |
[in] | b | magma_z_matrix RHS b |
[in,out] | x | magma_z_matrix* solution approximation |
[in,out] | solver_par | magma_z_solver_par* solver parameters |
[in] | queue | magma_queue_t Queue to execute in. |
magma_int_t magma_zcgs_merge | ( | magma_z_matrix | A, |
magma_z_matrix | b, | ||
magma_z_matrix * | x, | ||
magma_z_solver_par * | solver_par, | ||
magma_queue_t | queue | ||
) |
Solves a system of linear equations A * X = B where A is a complex Hermitian N-by-N positive definite matrix A.
This is a GPU implementation of the Conjugate Gradient Squared (CGS) method.
[in] | A | magma_z_matrix input matrix A |
[in] | b | magma_z_matrix RHS b |
[in,out] | x | magma_z_matrix* solution approximation |
[in,out] | solver_par | magma_z_solver_par* solver parameters |
[in] | queue | magma_queue_t Queue to execute in. |
magma_int_t magma_zidr_merge | ( | magma_z_matrix | A, |
magma_z_matrix | b, | ||
magma_z_matrix * | x, | ||
magma_z_solver_par * | solver_par, | ||
magma_queue_t | queue | ||
) |
Solves a system of linear equations A * X = B where A is a general complex N-by-N matrix A.
This is a GPU implementation of the Induced Dimension Reduction method applying kernel fusion.
[in] | A | magma_z_matrix input matrix A |
[in] | b | magma_z_matrix RHS b |
[in,out] | x | magma_z_matrix* solution approximation |
[in,out] | solver_par | magma_z_solver_par* solver parameters |
[in] | queue | magma_queue_t Queue to execute in. |
magma_int_t magma_zidr_strms | ( | magma_z_matrix | A, |
magma_z_matrix | b, | ||
magma_z_matrix * | x, | ||
magma_z_solver_par * | solver_par, | ||
magma_queue_t | queue | ||
) |
Solves a system of linear equations A * X = B where A is a general complex N-by-N matrix A.
This is a GPU implementation of the Induced Dimension Reduction method applying kernel fusion and kernel overlap.
[in] | A | magma_z_matrix input matrix A |
[in] | b | magma_z_matrix RHS b |
[in,out] | x | magma_z_matrix* solution approximation |
[in,out] | solver_par | magma_z_solver_par* solver parameters |
[in] | queue | magma_queue_t Queue to execute in. |
magma_int_t magma_zpcg_merge | ( | magma_z_matrix | A, |
magma_z_matrix | b, | ||
magma_z_matrix * | x, | ||
magma_z_solver_par * | solver_par, | ||
magma_z_preconditioner * | precond_par, | ||
magma_queue_t | queue | ||
) |
Solves a system of linear equations A * X = B where A is a complex matrix A.
This is a GPU implementation of the Conjugate Gradient method in variant, where multiple operations are merged into one compute kernel.
[in] | A | magma_z_matrix input matrix A |
[in] | b | magma_z_matrix RHS b |
[in,out] | x | magma_z_matrix* solution approximation |
[in,out] | solver_par | magma_z_solver_par* solver parameters |
[in] | precond_par | magma_z_preconditioner* preconditioner |
[in] | queue | magma_queue_t Queue to execute in. |
magma_int_t magma_zpidr_merge | ( | magma_z_matrix | A, |
magma_z_matrix | b, | ||
magma_z_matrix * | x, | ||
magma_z_solver_par * | solver_par, | ||
magma_z_preconditioner * | precond_par, | ||
magma_queue_t | queue | ||
) |
Solves a system of linear equations A * X = B where A is a complex Hermitian N-by-N positive definite matrix A.
This is a GPU implementation of the preconditioned Induced Dimension Reduction method applying kernel fusion.
[in] | A | magma_z_matrix input matrix A |
[in] | b | magma_z_matrix RHS b |
[in,out] | x | magma_z_matrix* solution approximation |
[in,out] | solver_par | magma_z_solver_par* solver parameters |
[in] | precond_par | magma_z_preconditioner* preconditioner |
[in] | queue | magma_queue_t Queue to execute in. |
magma_int_t magma_zpidr_strms | ( | magma_z_matrix | A, |
magma_z_matrix | b, | ||
magma_z_matrix * | x, | ||
magma_z_solver_par * | solver_par, | ||
magma_z_preconditioner * | precond_par, | ||
magma_queue_t | queue | ||
) |
Solves a system of linear equations A * X = B where A is a complex Hermitian N-by-N positive definite matrix A.
This is a GPU implementation of the preconditioned Induced Dimension Reduction method applying kernel fusion and kernel overlap.
[in] | A | magma_z_matrix input matrix A |
[in] | b | magma_z_matrix RHS b |
[in,out] | x | magma_z_matrix* solution approximation |
[in,out] | solver_par | magma_z_solver_par* solver parameters |
[in] | precond_par | magma_z_preconditioner* preconditioner |
[in] | queue | magma_queue_t Queue to execute in. |
magma_int_t magma_zptfqmr | ( | magma_z_matrix | A, |
magma_z_matrix | b, | ||
magma_z_matrix * | x, | ||
magma_z_solver_par * | solver_par, | ||
magma_z_preconditioner * | precond_par, | ||
magma_queue_t | queue | ||
) |
Solves a system of linear equations A * X = B where A is a complex Hermitian N-by-N positive definite matrix A.
This is a GPU implementation of the preconditioned transpose-free Quasi-Minimal Residual method (TFQMR).
[in] | A | magma_z_matrix input matrix A |
[in] | b | magma_z_matrix RHS b |
[in,out] | x | magma_z_matrix* solution approximation |
[in,out] | solver_par | magma_z_solver_par* solver parameters |
[in,out] | precond_par | magma_z_preconditioner* preconditioner |
[in] | queue | magma_queue_t Queue to execute in. |