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MAGMA
1.7.0
Matrix Algebra for GPU and Multicore Architectures
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Functions | |
magma_int_t | magma_dbaiter (magma_d_matrix A, magma_d_matrix b, magma_d_matrix *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_matrix A, magma_d_matrix b, magma_d_matrix *x, magma_d_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_dbicgstab_merge (magma_d_matrix A, magma_d_matrix b, magma_d_matrix *x, magma_d_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_dbicgstab_merge2 (magma_d_matrix A, magma_d_matrix b, magma_d_matrix *x, magma_d_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_dfgmres (magma_d_matrix A, magma_d_matrix b, magma_d_matrix *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_diterref (magma_d_matrix A, magma_d_matrix b, magma_d_matrix *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_matrix A, magma_d_matrix b, magma_d_matrix *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_djacobidomainoverlap (magma_d_matrix A, magma_d_matrix b, magma_d_matrix *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_dpbicgstab (magma_d_matrix A, magma_d_matrix b, magma_d_matrix *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 N-by-N general matrix. More... | |
magma_int_t magma_dbaiter | ( | magma_d_matrix | A, |
magma_d_matrix | b, | ||
magma_d_matrix * | 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_matrix input matrix A |
[in] | b | magma_d_matrix RHS b |
[in,out] | x | magma_d_matrix* 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_matrix | A, |
magma_d_matrix | b, | ||
magma_d_matrix * | x, | ||
magma_d_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_d_matrix input matrix A |
[in] | b | magma_d_matrix RHS b |
[in,out] | x | magma_d_matrix* 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_matrix | A, |
magma_d_matrix | b, | ||
magma_d_matrix * | x, | ||
magma_d_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_dbicgstab is that we use specifically designed kernels merging multiple operations into one kernel.
[in] | A | magma_d_matrix input matrix A |
[in] | b | magma_d_matrix RHS b |
[in,out] | x | magma_d_matrix* 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_matrix | A, |
magma_d_matrix | b, | ||
magma_d_matrix * | x, | ||
magma_d_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_dbicgstab is that we use specifically designed kernels merging multiple operations into one kernel.
[in] | A | magma_d_matrix input matrix A |
[in] | b | magma_d_matrix RHS b |
[in,out] | x | magma_d_matrix* 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_matrix | A, |
magma_d_matrix | b, | ||
magma_d_matrix * | 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_matrix descriptor for matrix A |
[in] | b | magma_d_matrix RHS b vector |
[in,out] | x | magma_d_matrix* 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_diterref | ( | magma_d_matrix | A, |
magma_d_matrix | b, | ||
magma_d_matrix * | 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_matrix input matrix A |
[in] | b | magma_d_matrix RHS b |
[in,out] | x | magma_d_matrix* 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_matrix | A, |
magma_d_matrix | b, | ||
magma_d_matrix * | 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_matrix input matrix A |
[in] | b | magma_d_matrix RHS b |
[in,out] | x | magma_d_matrix* 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_djacobidomainoverlap | ( | magma_d_matrix | A, |
magma_d_matrix | b, | ||
magma_d_matrix * | 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 allowing for domain overlap.
[in] | A | magma_d_matrix input matrix A |
[in] | b | magma_d_matrix RHS b |
[in,out] | x | magma_d_matrix* 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_dpbicgstab | ( | magma_d_matrix | A, |
magma_d_matrix | b, | ||
magma_d_matrix * | 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 N-by-N general matrix.
This is a GPU implementation of the preconditioned Biconjugate Gradient Stabelized method.
[in] | A | magma_d_matrix input matrix A |
[in] | b | magma_d_matrix RHS b |
[in,out] | x | magma_d_matrix* solution approximation |
[in,out] | solver_par | magma_d_solver_par* solver parameters |
[in] | precond_par | magma_d_preconditioner* preconditioner parameters |
[in] | queue | magma_queue_t Queue to execute in. |