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MAGMA
1.6.1
Matrix Algebra for GPU and Multicore Architectures
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Functions | |
magma_int_t | magma_sbaiter (magma_s_sparse_matrix A, magma_s_vector b, magma_s_vector *x, magma_s_solver_par *solver_par, magma_queue_t queue) |
Solves a system of linear equations A * x = b via the block asynchronous iteration method on GPU. More... | |
magma_int_t | magma_sbicgstab (magma_s_sparse_matrix A, magma_s_vector b, magma_s_vector *x, magma_s_solver_par *solver_par, magma_queue_t queue) |
Solves a system of linear equations A * X = B where A is a real symmetric N-by-N positive definite matrix A. More... | |
magma_int_t | magma_sbicgstab_merge (magma_s_sparse_matrix A, magma_s_vector b, magma_s_vector *x, magma_s_solver_par *solver_par, magma_queue_t queue) |
Solves a system of linear equations A * X = B where A is a real symmetric N-by-N positive definite matrix A. More... | |
magma_int_t | magma_sbicgstab_merge2 (magma_s_sparse_matrix A, magma_s_vector b, magma_s_vector *x, magma_s_solver_par *solver_par, magma_queue_t queue) |
Solves a system of linear equations A * X = B where A is a real symmetric N-by-N positive definite matrix A. More... | |
magma_int_t | magma_sfgmres (magma_s_sparse_matrix A, magma_s_vector b, magma_s_vector *x, magma_s_solver_par *solver_par, magma_s_preconditioner *precond_par, magma_queue_t queue) |
Solves a system of linear equations A * X = B where A is a real sparse matrix stored in the GPU memory. More... | |
magma_int_t | magma_sgmres (magma_s_sparse_matrix A, magma_s_vector b, magma_s_vector *x, magma_s_solver_par *solver_par, magma_queue_t queue) |
Solves a system of linear equations A * X = B where A is a real sparse matrix stored in the GPU memory. More... | |
magma_int_t | magma_siterref (magma_s_sparse_matrix A, magma_s_vector b, magma_s_vector *x, magma_s_solver_par *solver_par, magma_s_preconditioner *precond_par, magma_queue_t queue) |
Solves a system of linear equations A * X = B where A is a real symmetric N-by-N positive definite matrix A. More... | |
magma_int_t | magma_sjacobi (magma_s_sparse_matrix A, magma_s_vector b, magma_s_vector *x, magma_s_solver_par *solver_par, magma_queue_t queue) |
Solves a system of linear equations A * X = B where A is a real symmetric N-by-N positive definite matrix A. More... | |
magma_int_t | magma_spastixsetup (magma_s_sparse_matrix A, magma_s_vector b, magma_s_preconditioner *precond, magma_queue_t queue) |
Prepares the PASTIX solver. More... | |
magma_int_t | magma_spgmres (magma_s_sparse_matrix A, magma_s_vector b, magma_s_vector *x, magma_s_solver_par *solver_par, magma_s_preconditioner *precond_par, magma_queue_t queue) |
ma Solves a system of linear equations A * X = B where A is a real sparse matrix stored in the GPU memory. More... | |
magma_int_t magma_sbaiter | ( | magma_s_sparse_matrix | A, |
magma_s_vector | b, | ||
magma_s_vector * | x, | ||
magma_s_solver_par * | solver_par, | ||
magma_queue_t | queue | ||
) |
Solves a system of linear equations A * x = b via the block asynchronous iteration method on GPU.
[in] | A | magma_s_sparse_matrix input matrix A |
[in] | b | magma_s_vector RHS b |
[in,out] | x | magma_s_vector* solution approximation |
[in,out] | solver_par | magma_s_solver_par* solver parameters |
[in] | queue | magma_queue_t Queue to execute in. |
magma_int_t magma_sbicgstab | ( | magma_s_sparse_matrix | A, |
magma_s_vector | b, | ||
magma_s_vector * | x, | ||
magma_s_solver_par * | solver_par, | ||
magma_queue_t | queue | ||
) |
Solves a system of linear equations A * X = B where A is a real symmetric N-by-N positive definite matrix A.
This is a GPU implementation of the Biconjugate Gradient Stabelized method.
[in] | A | magma_s_sparse_matrix input matrix A |
[in] | b | magma_s_vector RHS b |
[in,out] | x | magma_s_vector* solution approximation |
[in,out] | solver_par | magma_s_solver_par* solver parameters |
[in] | queue | magma_queue_t Queue to execute in. |
magma_int_t magma_sbicgstab_merge | ( | magma_s_sparse_matrix | A, |
magma_s_vector | b, | ||
magma_s_vector * | x, | ||
magma_s_solver_par * | solver_par, | ||
magma_queue_t | queue | ||
) |
Solves a system of linear equations A * X = B where A is a real symmetric N-by-N positive definite matrix A.
This is a GPU implementation of the Biconjugate Gradient Stabelized method. The difference to magma_sbicgstab is that we use specifically designed kernels merging multiple operations into one kernel.
[in] | A | magma_s_sparse_matrix input matrix A |
[in] | b | magma_s_vector RHS b |
[in,out] | x | magma_s_vector* solution approximation |
[in,out] | solver_par | magma_s_solver_par* solver parameters |
[in] | queue | magma_queue_t Queue to execute in. |
magma_int_t magma_sbicgstab_merge2 | ( | magma_s_sparse_matrix | A, |
magma_s_vector | b, | ||
magma_s_vector * | x, | ||
magma_s_solver_par * | solver_par, | ||
magma_queue_t | queue | ||
) |
Solves a system of linear equations A * X = B where A is a real symmetric N-by-N positive definite matrix A.
This is a GPU implementation of the Biconjugate Gradient Stabelized method. The difference to magma_sbicgstab is that we use specifically designed kernels merging multiple operations into one kernel.
[in] | A | magma_s_sparse_matrix input matrix A |
[in] | b | magma_s_vector RHS b |
[in,out] | x | magma_s_vector* solution approximation |
[in,out] | solver_par | magma_s_solver_par* solver parameters |
[in] | queue | magma_queue_t Queue to execute in. |
magma_int_t magma_sfgmres | ( | magma_s_sparse_matrix | A, |
magma_s_vector | b, | ||
magma_s_vector * | x, | ||
magma_s_solver_par * | solver_par, | ||
magma_s_preconditioner * | precond_par, | ||
magma_queue_t | queue | ||
) |
Solves a system of linear equations A * X = B where A is a real sparse matrix stored in the GPU memory.
X and B are real vectors stored on the GPU memory. This is a GPU implementation of the right-preconditioned flexible GMRES.
[in] | A | magma_s_sparse_matrix descriptor for matrix A |
[in] | b | magma_s_vector RHS b vector |
[in,out] | x | magma_s_vector* solution approximation |
[in,out] | solver_par | magma_s_solver_par* solver parameters |
[in] | precond_par | magma_s_preconditioner* preconditioner |
[in] | queue | magma_queue_t Queue to execute in. |
magma_int_t magma_sgmres | ( | magma_s_sparse_matrix | A, |
magma_s_vector | b, | ||
magma_s_vector * | x, | ||
magma_s_solver_par * | solver_par, | ||
magma_queue_t | queue | ||
) |
Solves a system of linear equations A * X = B where A is a real sparse matrix stored in the GPU memory.
X and B are real vectors stored on the GPU memory. This is a GPU implementation of the GMRES method.
[in] | A | magma_s_sparse_matrix descriptor for matrix A |
[in] | b | magma_s_vector RHS b vector |
[in,out] | x | magma_s_vector* solution approximation |
[in,out] | solver_par | magma_s_solver_par* solver parameters |
[in] | queue | magma_queue_t Queue to execute in. |
magma_int_t magma_siterref | ( | magma_s_sparse_matrix | A, |
magma_s_vector | b, | ||
magma_s_vector * | x, | ||
magma_s_solver_par * | solver_par, | ||
magma_s_preconditioner * | precond_par, | ||
magma_queue_t | queue | ||
) |
Solves a system of linear equations A * X = B where A is a real symmetric N-by-N positive definite matrix A.
This is a GPU implementation of the Iterative Refinement method. The inner solver is passed via the preconditioner argument.
[in] | A | magma_s_sparse_matrix input matrix A |
[in] | b | magma_s_vector RHS b |
[in,out] | x | magma_s_vector* solution approximation |
[in,out] | solver_par | magma_s_solver_par* solver parameters |
[in,out] | precond_par | magma_s_preconditioner* inner solver |
[in] | queue | magma_queue_t Queue to execute in. |
magma_int_t magma_sjacobi | ( | magma_s_sparse_matrix | A, |
magma_s_vector | b, | ||
magma_s_vector * | x, | ||
magma_s_solver_par * | solver_par, | ||
magma_queue_t | queue | ||
) |
Solves a system of linear equations A * X = B where A is a real symmetric N-by-N positive definite matrix A.
This is a GPU implementation of the Jacobi method.
[in] | A | magma_s_sparse_matrix input matrix A |
[in] | b | magma_s_vector RHS b |
[in,out] | x | magma_s_vector* solution approximation |
[in,out] | solver_par | magma_s_solver_par* solver parameters |
[in] | queue | magma_queue_t Queue to execute in. |
magma_int_t magma_spastixsetup | ( | magma_s_sparse_matrix | A, |
magma_s_vector | b, | ||
magma_s_preconditioner * | precond, | ||
magma_queue_t | queue | ||
) |
Prepares the PASTIX solver.
[in] | A | magma_s_sparse_matrix input matrix A |
[in] | b | magma_s_vector RHS b |
[in] | precond | magma_s_preconditioner* preconditioner parameter |
[in] | queue | magma_queue_t Queue to execute in. |
magma_int_t magma_spgmres | ( | magma_s_sparse_matrix | A, |
magma_s_vector | b, | ||
magma_s_vector * | x, | ||
magma_s_solver_par * | solver_par, | ||
magma_s_preconditioner * | precond_par, | ||
magma_queue_t | queue | ||
) |
ma Solves a system of linear equations A * X = B where A is a real sparse matrix stored in the GPU memory.
X and B are real vectors stored on the GPU memory. This is a GPU implementation of the right-preconditioned GMRES method.
@param[in] A magma_s_sparse_matrix descriptor for matrix A @param[in] b magma_s_vector RHS b vector @param[in,out] x magma_s_vector* solution approximation @param[in,out] solver_par magma_s_solver_par* solver parameters @param[in] precond_par magma_s_preconditioner* preconditioner @param[in] queue magma_queue_t Queue to execute in.