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MAGMA
1.6.3
Matrix Algebra for GPU and Multicore Architectures
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Functions | |
magma_int_t | magma_sbaiter (magma_s_matrix A, magma_s_matrix b, magma_s_matrix *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_matrix A, magma_s_matrix b, magma_s_matrix *x, magma_s_solver_par *solver_par, magma_queue_t queue) |
Solves a system of linear equations A * X = B where A is a general matrix. More... | |
magma_int_t | magma_sbicgstab_merge (magma_s_matrix A, magma_s_matrix b, magma_s_matrix *x, magma_s_solver_par *solver_par, magma_queue_t queue) |
Solves a system of linear equations A * X = B where A is a general matrix. More... | |
magma_int_t | magma_sbicgstab_merge2 (magma_s_matrix A, magma_s_matrix b, magma_s_matrix *x, magma_s_solver_par *solver_par, magma_queue_t queue) |
Solves a system of linear equations A * X = B where A is a general matrix. More... | |
magma_int_t | magma_sfgmres (magma_s_matrix A, magma_s_matrix b, magma_s_matrix *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_siterref (magma_s_matrix A, magma_s_matrix b, magma_s_matrix *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_matrix A, magma_s_matrix b, magma_s_matrix *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_sjacobidomainoverlap (magma_s_matrix A, magma_s_matrix b, magma_s_matrix *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_spbicgstab (magma_s_matrix A, magma_s_matrix b, magma_s_matrix *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 N-by-N general matrix. More... | |
magma_int_t magma_sbaiter | ( | magma_s_matrix | A, |
magma_s_matrix | b, | ||
magma_s_matrix * | 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_matrix input matrix A |
[in] | b | magma_s_matrix RHS b |
[in,out] | x | magma_s_matrix* 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_matrix | A, |
magma_s_matrix | b, | ||
magma_s_matrix * | x, | ||
magma_s_solver_par * | solver_par, | ||
magma_queue_t | queue | ||
) |
Solves a system of linear equations A * X = B where A is a general matrix.
This is a GPU implementation of the Biconjugate Gradient Stabilized method.
[in] | A | magma_s_matrix input matrix A |
[in] | b | magma_s_matrix RHS b |
[in,out] | x | magma_s_matrix* 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_matrix | A, |
magma_s_matrix | b, | ||
magma_s_matrix * | x, | ||
magma_s_solver_par * | solver_par, | ||
magma_queue_t | queue | ||
) |
Solves a system of linear equations A * X = B where A is a general matrix.
This is a GPU implementation of the Biconjugate Gradient Stabilized method. The difference to magma_sbicgstab is that we use specifically designed kernels merging multiple operations into one kernel.
[in] | A | magma_s_matrix input matrix A |
[in] | b | magma_s_matrix RHS b |
[in,out] | x | magma_s_matrix* 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_matrix | A, |
magma_s_matrix | b, | ||
magma_s_matrix * | x, | ||
magma_s_solver_par * | solver_par, | ||
magma_queue_t | queue | ||
) |
Solves a system of linear equations A * X = B where A is a general matrix.
This is a GPU implementation of the Biconjugate Gradient Stabilized method. The difference to magma_sbicgstab is that we use specifically designed kernels merging multiple operations into one kernel.
[in] | A | magma_s_matrix input matrix A |
[in] | b | magma_s_matrix RHS b |
[in,out] | x | magma_s_matrix* 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_matrix | A, |
magma_s_matrix | b, | ||
magma_s_matrix * | 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_matrix descriptor for matrix A |
[in] | b | magma_s_matrix RHS b vector |
[in,out] | x | magma_s_matrix* 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_siterref | ( | magma_s_matrix | A, |
magma_s_matrix | b, | ||
magma_s_matrix * | 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_matrix input matrix A |
[in] | b | magma_s_matrix RHS b |
[in,out] | x | magma_s_matrix* 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_matrix | A, |
magma_s_matrix | b, | ||
magma_s_matrix * | 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_matrix input matrix A |
[in] | b | magma_s_matrix RHS b |
[in,out] | x | magma_s_matrix* 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_sjacobidomainoverlap | ( | magma_s_matrix | A, |
magma_s_matrix | b, | ||
magma_s_matrix * | 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 allowing for domain overlap.
[in] | A | magma_s_matrix input matrix A |
[in] | b | magma_s_matrix RHS b |
[in,out] | x | magma_s_matrix* 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_spbicgstab | ( | magma_s_matrix | A, |
magma_s_matrix | b, | ||
magma_s_matrix * | 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 N-by-N general matrix.
This is a GPU implementation of the preconditioned Biconjugate Gradient Stabelized method.
[in] | A | magma_s_matrix input matrix A |
[in] | b | magma_s_matrix RHS b |
[in,out] | x | magma_s_matrix* solution approximation |
[in,out] | solver_par | magma_s_solver_par* solver parameters |
[in] | precond_par | magma_s_preconditioner* preconditioner parameters |
[in] | queue | magma_queue_t Queue to execute in. |