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MAGMA
1.7.0
Matrix Algebra for GPU and Multicore Architectures
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Functions | |
magma_int_t | magma_cbaiter (magma_c_matrix A, magma_c_matrix b, magma_c_matrix *x, magma_c_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_cbicgstab (magma_c_matrix A, magma_c_matrix b, magma_c_matrix *x, magma_c_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_cbicgstab_merge (magma_c_matrix A, magma_c_matrix b, magma_c_matrix *x, magma_c_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_cbicgstab_merge2 (magma_c_matrix A, magma_c_matrix b, magma_c_matrix *x, magma_c_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_cfgmres (magma_c_matrix A, magma_c_matrix b, magma_c_matrix *x, magma_c_solver_par *solver_par, magma_c_preconditioner *precond_par, magma_queue_t queue) |
Solves a system of linear equations A * X = B where A is a complex sparse matrix stored in the GPU memory. More... | |
magma_int_t | magma_citerref (magma_c_matrix A, magma_c_matrix b, magma_c_matrix *x, magma_c_solver_par *solver_par, magma_c_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_cjacobi (magma_c_matrix A, magma_c_matrix b, magma_c_matrix *x, magma_c_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_cjacobidomainoverlap (magma_c_matrix A, magma_c_matrix b, magma_c_matrix *x, magma_c_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_cpbicgstab (magma_c_matrix A, magma_c_matrix b, magma_c_matrix *x, magma_c_solver_par *solver_par, magma_c_preconditioner *precond_par, magma_queue_t queue) |
Solves a system of linear equations A * X = B where A is a complex N-by-N general matrix. More... | |
magma_int_t magma_cbaiter | ( | magma_c_matrix | A, |
magma_c_matrix | b, | ||
magma_c_matrix * | x, | ||
magma_c_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_c_matrix input matrix A |
[in] | b | magma_c_matrix RHS b |
[in,out] | x | magma_c_matrix* solution approximation |
[in,out] | solver_par | magma_c_solver_par* solver parameters |
[in] | queue | magma_queue_t Queue to execute in. |
magma_int_t magma_cbicgstab | ( | magma_c_matrix | A, |
magma_c_matrix | b, | ||
magma_c_matrix * | x, | ||
magma_c_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_c_matrix input matrix A |
[in] | b | magma_c_matrix RHS b |
[in,out] | x | magma_c_matrix* solution approximation |
[in,out] | solver_par | magma_c_solver_par* solver parameters |
[in] | queue | magma_queue_t Queue to execute in. |
magma_int_t magma_cbicgstab_merge | ( | magma_c_matrix | A, |
magma_c_matrix | b, | ||
magma_c_matrix * | x, | ||
magma_c_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_cbicgstab is that we use specifically designed kernels merging multiple operations into one kernel.
[in] | A | magma_c_matrix input matrix A |
[in] | b | magma_c_matrix RHS b |
[in,out] | x | magma_c_matrix* solution approximation |
[in,out] | solver_par | magma_c_solver_par* solver parameters |
[in] | queue | magma_queue_t Queue to execute in. |
magma_int_t magma_cbicgstab_merge2 | ( | magma_c_matrix | A, |
magma_c_matrix | b, | ||
magma_c_matrix * | x, | ||
magma_c_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_cbicgstab is that we use specifically designed kernels merging multiple operations into one kernel.
[in] | A | magma_c_matrix input matrix A |
[in] | b | magma_c_matrix RHS b |
[in,out] | x | magma_c_matrix* solution approximation |
[in,out] | solver_par | magma_c_solver_par* solver parameters |
[in] | queue | magma_queue_t Queue to execute in. |
magma_int_t magma_cfgmres | ( | magma_c_matrix | A, |
magma_c_matrix | b, | ||
magma_c_matrix * | x, | ||
magma_c_solver_par * | solver_par, | ||
magma_c_preconditioner * | precond_par, | ||
magma_queue_t | queue | ||
) |
Solves a system of linear equations A * X = B where A is a complex sparse matrix stored in the GPU memory.
X and B are complex vectors stored on the GPU memory. This is a GPU implementation of the right-preconditioned flexible GMRES.
[in] | A | magma_c_matrix descriptor for matrix A |
[in] | b | magma_c_matrix RHS b vector |
[in,out] | x | magma_c_matrix* solution approximation |
[in,out] | solver_par | magma_c_solver_par* solver parameters |
[in] | precond_par | magma_c_preconditioner* preconditioner |
[in] | queue | magma_queue_t Queue to execute in. |
magma_int_t magma_citerref | ( | magma_c_matrix | A, |
magma_c_matrix | b, | ||
magma_c_matrix * | x, | ||
magma_c_solver_par * | solver_par, | ||
magma_c_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 Iterative Refinement method. The inner solver is passed via the preconditioner argument.
[in] | A | magma_c_matrix input matrix A |
[in] | b | magma_c_matrix RHS b |
[in,out] | x | magma_c_matrix* solution approximation |
[in,out] | solver_par | magma_c_solver_par* solver parameters |
[in,out] | precond_par | magma_c_preconditioner* inner solver |
[in] | queue | magma_queue_t Queue to execute in. |
magma_int_t magma_cjacobi | ( | magma_c_matrix | A, |
magma_c_matrix | b, | ||
magma_c_matrix * | x, | ||
magma_c_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 Jacobi method.
[in] | A | magma_c_matrix input matrix A |
[in] | b | magma_c_matrix RHS b |
[in,out] | x | magma_c_matrix* solution approximation |
[in,out] | solver_par | magma_c_solver_par* solver parameters |
[in] | queue | magma_queue_t Queue to execute in. |
magma_int_t magma_cjacobidomainoverlap | ( | magma_c_matrix | A, |
magma_c_matrix | b, | ||
magma_c_matrix * | x, | ||
magma_c_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 Jacobi method allowing for domain overlap.
[in] | A | magma_c_matrix input matrix A |
[in] | b | magma_c_matrix RHS b |
[in,out] | x | magma_c_matrix* solution approximation |
[in,out] | solver_par | magma_c_solver_par* solver parameters |
[in] | queue | magma_queue_t Queue to execute in. |
magma_int_t magma_cpbicgstab | ( | magma_c_matrix | A, |
magma_c_matrix | b, | ||
magma_c_matrix * | x, | ||
magma_c_solver_par * | solver_par, | ||
magma_c_preconditioner * | precond_par, | ||
magma_queue_t | queue | ||
) |
Solves a system of linear equations A * X = B where A is a complex N-by-N general matrix.
This is a GPU implementation of the preconditioned Biconjugate Gradient Stabelized method.
[in] | A | magma_c_matrix input matrix A |
[in] | b | magma_c_matrix RHS b |
[in,out] | x | magma_c_matrix* solution approximation |
[in,out] | solver_par | magma_c_solver_par* solver parameters |
[in] | precond_par | magma_c_preconditioner* preconditioner parameters |
[in] | queue | magma_queue_t Queue to execute in. |