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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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).
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.

Detailed Description

Function Documentation

magma_dbaiter()

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]	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.

magma_dbaiter_overlap()

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]	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.

magma_dbicg()

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]	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_dbicgstab()

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]	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_dbicgstab_merge()

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]	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_dbicgstab_merge2()

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]	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_dbicgstab_merge3()

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]	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_dbombard()

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]	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_dbombard_merge()

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]	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_dcgs()

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]	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_dfgmres()

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]	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_diterref()

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]	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_djacobi()

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]	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_djacobidomainoverlap()

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]	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_dlsqr()

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]	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* preconditioner
[in]	queue	magma_queue_t Queue to execute in.

magma_dpbicg()

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]	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* preconditioner
[in]	queue	magma_queue_t Queue to execute in.

magma_dpbicgstab()

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]	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.

magma_dpbicgstab_merge()

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]	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.

magma_dpcgs()

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]	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
[in]	queue	magma_queue_t Queue to execute in.

magma_dpcgs_merge()

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]	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
[in]	queue	magma_queue_t Queue to execute in.

magma_dpqmr()

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]	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
[in]	queue	magma_queue_t Queue to execute in.

magma_dpqmr_merge()

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]	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
[in]	queue	magma_queue_t Queue to execute in.

magma_dptfqmr_merge()

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]	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* preconditioner
[in]	queue	magma_queue_t Queue to execute in.

magma_dqmr()

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]	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_dqmr_merge()

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]	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_dtfqmr()

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]	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_dtfqmr_merge()

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]	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_dtfqmr_unrolled()

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]	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.