MAGMA  2.3.0
Matrix Algebra for GPU and Multicore Architectures
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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_d_preconditioner *precond_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_dbaiter_overlap (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 via the block asynchronous iteration method on GPU. More...
 
magma_int_t magma_dbicg (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 (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_dbicgstab_merge3 (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_dbombard (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 general matrix A. More...
 
magma_int_t magma_dbombard_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 real general matrix A. More...
 
magma_int_t magma_dcgs (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 matrix A. 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_dlsqr (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 for X if A is consistent, otherwise it attempts to solve the least squares solution X that minimizes norm(B-A*X). More...
 
magma_int_t magma_dpbicg (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 general matrix. 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_dpbicgstab_merge (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 general matrix. More...
 
magma_int_t magma_dpcgs (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 matrix A. More...
 
magma_int_t magma_dpcgs_merge (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 matrix A. More...
 
magma_int_t magma_dpqmr (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 general real matrix A. More...
 
magma_int_t magma_dpqmr_merge (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 general real matrix A. More...
 
magma_int_t magma_dptfqmr_merge (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 matrix A. More...
 
magma_int_t magma_dqmr (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 real matrix A. More...
 
magma_int_t magma_dqmr_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 real general matrix A. More...
 
magma_int_t magma_dtfqmr (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 matrix A. More...
 
magma_int_t magma_dtfqmr_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 real matrix A. More...
 
magma_int_t magma_dtfqmr_unrolled (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 matrix A. 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_d_preconditioner *  precond_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]precond_parmagma_d_preconditioner* preconditioner parameters
[in]queuemagma_queue_t Queue to execute in.
magma_int_t magma_dbaiter_overlap ( 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 via the block asynchronous iteration method on GPU.

It used restricted additive Schwarz overlap in top-down direction.

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.
magma_int_t magma_dbicg ( 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 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 ( 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.

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_dbicgstab_merge3 ( 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_dbombard ( 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 general matrix A.

This is a GPU implementation of the iterative bombardment suggested in Barrett et al. ''Algorithmic bombardment for the iterative solution of linear systems: A poly-iterative approach'' using BiCGSTAB, CGS and MQR. At this point, it only works for symmetric A.

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_dbombard_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 real general matrix A.

This is a GPU implementation of the iterative bombardment suggested in Barrett et al. ''Algorithmic bombardment for the iterative solution of linear systems: A poly-iterative approach'' using BiCGSTAB, CGS and MQR. At this point, it only works for symmetric A.

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_dcgs ( 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 matrix A.

This is a GPU implementation of the Conjugate Gradient Squared (CGS) 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_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_dlsqr ( 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 for X if A is consistent, otherwise it attempts to solve the least squares solution X that minimizes norm(B-A*X).

The N-by-P coefficient matrix A need not be square but the right hand side column vector B must have length N.

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* preconditioner
[in]queuemagma_queue_t Queue to execute in.
magma_int_t magma_dpbicg ( 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 general matrix.

This is a GPU implementation of the preconditioned Biconjugate Gradient 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,out]precond_parmagma_d_preconditioner* preconditioner
[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.
magma_int_t magma_dpbicgstab_merge ( 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 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.
magma_int_t magma_dpcgs ( 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 matrix A.

This is a GPU implementation of the preconditioned Conjugate Gradient Squared (CGS) 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
[in]queuemagma_queue_t Queue to execute in.
magma_int_t magma_dpcgs_merge ( 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 matrix A.

This is a GPU implementation of the preconditioned Conjugate Gradient Squared (CGS) 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
[in]queuemagma_queue_t Queue to execute in.
magma_int_t magma_dpqmr ( 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 general real matrix A.

This is a GPU implementation of the preconditioned Quasi-Minimal Residual method (QMR).

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
[in]queuemagma_queue_t Queue to execute in.
magma_int_t magma_dpqmr_merge ( 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 general real matrix A.

This is a GPU implementation of the preconditioned Quasi-Minimal Residual method (QMR) using custom-designed kernels.

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
[in]queuemagma_queue_t Queue to execute in.
magma_int_t magma_dptfqmr_merge ( 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 matrix A.

This is a GPU implementation of the preconditioned transpose-free Quasi-Minimal Residual method (TFQMR).

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* preconditioner
[in]queuemagma_queue_t Queue to execute in.
magma_int_t magma_dqmr ( 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 real matrix A.

This is a GPU implementation of the Quasi-Minimal Residual method (QMR).

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_dqmr_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 real general matrix A.

This is a GPU implementation of the Quasi-Minimal Residual method (QMR).

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_dtfqmr ( 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 matrix A.

This is a GPU implementation of the transpose-free Quasi-Minimal Residual method (TFQMR).

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_dtfqmr_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 real matrix A.

This is a GPU implementation of the transpose-free Quasi-Minimal Residual method (TFQMR).

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_dtfqmr_unrolled ( 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 matrix A.

This is a GPU implementation of the transpose-free Quasi-Minimal Residual method (TFQMR).

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.