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MAGMA
1.6.1
Matrix Algebra for GPU and Multicore Architectures
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Functions | |
magma_int_t | magma_dbaiter (magma_d_sparse_matrix A, magma_d_vector b, magma_d_vector *x, magma_d_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_dbicgstab (magma_d_sparse_matrix A, magma_d_vector b, magma_d_vector *x, magma_d_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_dbicgstab_merge (magma_d_sparse_matrix A, magma_d_vector b, magma_d_vector *x, magma_d_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_dbicgstab_merge2 (magma_d_sparse_matrix A, magma_d_vector b, magma_d_vector *x, magma_d_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_dfgmres (magma_d_sparse_matrix A, magma_d_vector b, magma_d_vector *x, magma_d_solver_par *solver_par, magma_d_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_dgmres (magma_d_sparse_matrix A, magma_d_vector b, magma_d_vector *x, magma_d_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_diterref (magma_d_sparse_matrix A, magma_d_vector b, magma_d_vector *x, magma_d_solver_par *solver_par, magma_d_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_djacobi (magma_d_sparse_matrix A, magma_d_vector b, magma_d_vector *x, magma_d_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_dpastixsetup (magma_d_sparse_matrix A, magma_d_vector b, magma_d_preconditioner *precond, magma_queue_t queue) |
Prepares the PASTIX solver. More... | |
magma_int_t | magma_dpgmres (magma_d_sparse_matrix A, magma_d_vector b, magma_d_vector *x, magma_d_solver_par *solver_par, magma_d_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_dbaiter | ( | magma_d_sparse_matrix | A, |
magma_d_vector | b, | ||
magma_d_vector * | x, | ||
magma_d_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_d_sparse_matrix input matrix A |
[in] | b | magma_d_vector RHS b |
[in,out] | x | magma_d_vector* solution approximation |
[in,out] | solver_par | magma_d_solver_par* solver parameters |
[in] | queue | magma_queue_t Queue to execute in. |
magma_int_t magma_dbicgstab | ( | magma_d_sparse_matrix | A, |
magma_d_vector | b, | ||
magma_d_vector * | x, | ||
magma_d_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_d_sparse_matrix input matrix A |
[in] | b | magma_d_vector RHS b |
[in,out] | x | magma_d_vector* solution approximation |
[in,out] | solver_par | magma_d_solver_par* solver parameters |
[in] | queue | magma_queue_t Queue to execute in. |
magma_int_t magma_dbicgstab_merge | ( | magma_d_sparse_matrix | A, |
magma_d_vector | b, | ||
magma_d_vector * | x, | ||
magma_d_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_dbicgstab is that we use specifically designed kernels merging multiple operations into one kernel.
[in] | A | magma_d_sparse_matrix input matrix A |
[in] | b | magma_d_vector RHS b |
[in,out] | x | magma_d_vector* solution approximation |
[in,out] | solver_par | magma_d_solver_par* solver parameters |
[in] | queue | magma_queue_t Queue to execute in. |
magma_int_t magma_dbicgstab_merge2 | ( | magma_d_sparse_matrix | A, |
magma_d_vector | b, | ||
magma_d_vector * | x, | ||
magma_d_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_dbicgstab is that we use specifically designed kernels merging multiple operations into one kernel.
[in] | A | magma_d_sparse_matrix input matrix A |
[in] | b | magma_d_vector RHS b |
[in,out] | x | magma_d_vector* solution approximation |
[in,out] | solver_par | magma_d_solver_par* solver parameters |
[in] | queue | magma_queue_t Queue to execute in. |
magma_int_t magma_dfgmres | ( | magma_d_sparse_matrix | A, |
magma_d_vector | b, | ||
magma_d_vector * | x, | ||
magma_d_solver_par * | solver_par, | ||
magma_d_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_d_sparse_matrix descriptor for matrix A |
[in] | b | magma_d_vector RHS b vector |
[in,out] | x | magma_d_vector* solution approximation |
[in,out] | solver_par | magma_d_solver_par* solver parameters |
[in] | precond_par | magma_d_preconditioner* preconditioner |
[in] | queue | magma_queue_t Queue to execute in. |
magma_int_t magma_dgmres | ( | magma_d_sparse_matrix | A, |
magma_d_vector | b, | ||
magma_d_vector * | x, | ||
magma_d_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_d_sparse_matrix descriptor for matrix A |
[in] | b | magma_d_vector RHS b vector |
[in,out] | x | magma_d_vector* solution approximation |
[in,out] | solver_par | magma_d_solver_par* solver parameters |
[in] | queue | magma_queue_t Queue to execute in. |
magma_int_t magma_diterref | ( | magma_d_sparse_matrix | A, |
magma_d_vector | b, | ||
magma_d_vector * | x, | ||
magma_d_solver_par * | solver_par, | ||
magma_d_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_d_sparse_matrix input matrix A |
[in] | b | magma_d_vector RHS b |
[in,out] | x | magma_d_vector* solution approximation |
[in,out] | solver_par | magma_d_solver_par* solver parameters |
[in,out] | precond_par | magma_d_preconditioner* inner solver |
[in] | queue | magma_queue_t Queue to execute in. |
magma_int_t magma_djacobi | ( | magma_d_sparse_matrix | A, |
magma_d_vector | b, | ||
magma_d_vector * | x, | ||
magma_d_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_d_sparse_matrix input matrix A |
[in] | b | magma_d_vector RHS b |
[in,out] | x | magma_d_vector* solution approximation |
[in,out] | solver_par | magma_d_solver_par* solver parameters |
[in] | queue | magma_queue_t Queue to execute in. |
magma_int_t magma_dpastixsetup | ( | magma_d_sparse_matrix | A, |
magma_d_vector | b, | ||
magma_d_preconditioner * | precond, | ||
magma_queue_t | queue | ||
) |
Prepares the PASTIX solver.
[in] | A | magma_d_sparse_matrix input matrix A |
[in] | b | magma_d_vector RHS b |
[in] | precond | magma_d_preconditioner* preconditioner parameter |
[in] | queue | magma_queue_t Queue to execute in. |
magma_int_t magma_dpgmres | ( | magma_d_sparse_matrix | A, |
magma_d_vector | b, | ||
magma_d_vector * | x, | ||
magma_d_solver_par * | solver_par, | ||
magma_d_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_d_sparse_matrix descriptor for matrix A @param[in] b magma_d_vector RHS b vector @param[in,out] x magma_d_vector* solution approximation @param[in,out] solver_par magma_d_solver_par* solver parameters @param[in] precond_par magma_d_preconditioner* preconditioner @param[in] queue magma_queue_t Queue to execute in.