MAGMA  1.6.3
Matrix Algebra for GPU and Multicore Architectures
 All Classes Files Functions Friends Groups Pages
double precision

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...
 

Detailed Description

Function Documentation

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.

Parameters
[in]Amagma_d_matrix input matrix A
[in]bmagma_d_matrix RHS b
[in,out]xmagma_d_matrix* solution approximation
[in,out]solver_parmagma_d_solver_par* solver parameters
[in]queuemagma_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.

Parameters
[in]Amagma_d_matrix input matrix A
[in]bmagma_d_matrix RHS b
[in,out]xmagma_d_matrix* solution approximation
[in,out]solver_parmagma_d_solver_par* solver parameters
[in]queuemagma_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.

Parameters
[in]Amagma_d_matrix input matrix A
[in]bmagma_d_matrix RHS b
[in,out]xmagma_d_matrix* solution approximation
[in,out]solver_parmagma_d_solver_par* solver parameters
[in]queuemagma_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.

Parameters
[in]Amagma_d_matrix input matrix A
[in]bmagma_d_matrix RHS b
[in,out]xmagma_d_matrix* solution approximation
[in,out]solver_parmagma_d_solver_par* solver parameters
[in]queuemagma_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.

Parameters
[in]Amagma_d_matrix descriptor for matrix A
[in]bmagma_d_matrix RHS b vector
[in,out]xmagma_d_matrix* solution approximation
[in,out]solver_parmagma_d_solver_par* solver parameters
[in]precond_parmagma_d_preconditioner* preconditioner
[in]queuemagma_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.

Parameters
[in]Amagma_d_matrix input matrix A
[in]bmagma_d_matrix RHS b
[in,out]xmagma_d_matrix* solution approximation
[in,out]solver_parmagma_d_solver_par* solver parameters
[in,out]precond_parmagma_d_preconditioner* inner solver
[in]queuemagma_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.

Parameters
[in]Amagma_d_matrix input matrix A
[in]bmagma_d_matrix RHS b
[in,out]xmagma_d_matrix* solution approximation
[in,out]solver_parmagma_d_solver_par* solver parameters
[in]queuemagma_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.

Parameters
[in]Amagma_d_matrix input matrix A
[in]bmagma_d_matrix RHS b
[in,out]xmagma_d_matrix* solution approximation
[in,out]solver_parmagma_d_solver_par* solver parameters
[in]queuemagma_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.

Parameters
[in]Amagma_d_matrix input matrix A
[in]bmagma_d_matrix RHS b
[in,out]xmagma_d_matrix* solution approximation
[in,out]solver_parmagma_d_solver_par* solver parameters
[in]precond_parmagma_d_preconditioner* preconditioner parameters
[in]queuemagma_queue_t Queue to execute in.