single precision

Functions
magma_int_t	magma_sbaiter (magma_s_matrix A, magma_s_matrix b, magma_s_matrix *x, magma_s_solver_par *solver_par, magma_s_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_sbaiter_overlap (magma_s_matrix A, magma_s_matrix b, magma_s_matrix *x, magma_s_solver_par *solver_par, magma_s_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_sbicg (magma_s_matrix A, magma_s_matrix b, magma_s_matrix *x, magma_s_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_sbicgstab (magma_s_matrix A, magma_s_matrix b, magma_s_matrix *x, magma_s_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_sbicgstab_merge (magma_s_matrix A, magma_s_matrix b, magma_s_matrix *x, magma_s_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_sbicgstab_merge2 (magma_s_matrix A, magma_s_matrix b, magma_s_matrix *x, magma_s_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_sbicgstab_merge3 (magma_s_matrix A, magma_s_matrix b, magma_s_matrix *x, magma_s_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_sbombard (magma_s_matrix A, magma_s_matrix b, magma_s_matrix *x, magma_s_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_sbombard_merge (magma_s_matrix A, magma_s_matrix b, magma_s_matrix *x, magma_s_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_scgs (magma_s_matrix A, magma_s_matrix b, magma_s_matrix *x, magma_s_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_sfgmres (magma_s_matrix A, magma_s_matrix b, magma_s_matrix *x, magma_s_solver_par *solver_par, magma_s_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_siterref (magma_s_matrix A, magma_s_matrix b, magma_s_matrix *x, magma_s_solver_par *solver_par, magma_s_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_sjacobi (magma_s_matrix A, magma_s_matrix b, magma_s_matrix *x, magma_s_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_sjacobidomainoverlap (magma_s_matrix A, magma_s_matrix b, magma_s_matrix *x, magma_s_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_slsqr (magma_s_matrix A, magma_s_matrix b, magma_s_matrix *x, magma_s_solver_par *solver_par, magma_s_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_spbicg (magma_s_matrix A, magma_s_matrix b, magma_s_matrix *x, magma_s_solver_par *solver_par, magma_s_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_spbicgstab (magma_s_matrix A, magma_s_matrix b, magma_s_matrix *x, magma_s_solver_par *solver_par, magma_s_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_spbicgstab_merge (magma_s_matrix A, magma_s_matrix b, magma_s_matrix *x, magma_s_solver_par *solver_par, magma_s_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_spcgs (magma_s_matrix A, magma_s_matrix b, magma_s_matrix *x, magma_s_solver_par *solver_par, magma_s_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_spcgs_merge (magma_s_matrix A, magma_s_matrix b, magma_s_matrix *x, magma_s_solver_par *solver_par, magma_s_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_spqmr (magma_s_matrix A, magma_s_matrix b, magma_s_matrix *x, magma_s_solver_par *solver_par, magma_s_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_spqmr_merge (magma_s_matrix A, magma_s_matrix b, magma_s_matrix *x, magma_s_solver_par *solver_par, magma_s_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_sptfqmr_merge (magma_s_matrix A, magma_s_matrix b, magma_s_matrix *x, magma_s_solver_par *solver_par, magma_s_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_sqmr (magma_s_matrix A, magma_s_matrix b, magma_s_matrix *x, magma_s_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_sqmr_merge (magma_s_matrix A, magma_s_matrix b, magma_s_matrix *x, magma_s_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_stfqmr (magma_s_matrix A, magma_s_matrix b, magma_s_matrix *x, magma_s_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_stfqmr_merge (magma_s_matrix A, magma_s_matrix b, magma_s_matrix *x, magma_s_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_stfqmr_unrolled (magma_s_matrix A, magma_s_matrix b, magma_s_matrix *x, magma_s_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_sbaiter()

magma_int_t magma_sbaiter	(	magma_s_matrix	A,
		magma_s_matrix	b,
		magma_s_matrix *	x,
		magma_s_solver_par *	solver_par,
		magma_s_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_s_matrix input matrix A
[in]	b	magma_s_matrix RHS b
[in,out]	x	magma_s_matrix* solution approximation
[in,out]	solver_par	magma_s_solver_par* solver parameters
[in]	precond_par	magma_s_preconditioner* preconditioner parameters
[in]	queue	magma_queue_t Queue to execute in.

magma_sbaiter_overlap()

magma_int_t magma_sbaiter_overlap	(	magma_s_matrix	A,
		magma_s_matrix	b,
		magma_s_matrix *	x,
		magma_s_solver_par *	solver_par,
		magma_s_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_s_matrix input matrix A
[in]	b	magma_s_matrix RHS b
[in,out]	x	magma_s_matrix* solution approximation
[in,out]	solver_par	magma_s_solver_par* solver parameters
[in]	precond_par	magma_s_preconditioner* preconditioner parameters
[in]	queue	magma_queue_t Queue to execute in.

magma_sbicg()

magma_int_t magma_sbicg	(	magma_s_matrix	A,
		magma_s_matrix	b,
		magma_s_matrix *	x,
		magma_s_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_s_matrix input matrix A
[in]	b	magma_s_matrix RHS b
[in,out]	x	magma_s_matrix* solution approximation
[in,out]	solver_par	magma_s_solver_par* solver parameters
[in]	queue	magma_queue_t Queue to execute in.

magma_sbicgstab()

magma_int_t magma_sbicgstab	(	magma_s_matrix	A,
		magma_s_matrix	b,
		magma_s_matrix *	x,
		magma_s_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_s_matrix input matrix A
[in]	b	magma_s_matrix RHS b
[in,out]	x	magma_s_matrix* solution approximation
[in,out]	solver_par	magma_s_solver_par* solver parameters
[in]	queue	magma_queue_t Queue to execute in.

magma_sbicgstab_merge()

magma_int_t magma_sbicgstab_merge	(	magma_s_matrix	A,
		magma_s_matrix	b,
		magma_s_matrix *	x,
		magma_s_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_s_matrix input matrix A
[in]	b	magma_s_matrix RHS b
[in,out]	x	magma_s_matrix* solution approximation
[in,out]	solver_par	magma_s_solver_par* solver parameters
[in]	queue	magma_queue_t Queue to execute in.

magma_sbicgstab_merge2()

magma_int_t magma_sbicgstab_merge2	(	magma_s_matrix	A,
		magma_s_matrix	b,
		magma_s_matrix *	x,
		magma_s_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_sbicgstab is that we use specifically designed kernels merging multiple operations into one kernel.

Parameters

[in]	A	magma_s_matrix input matrix A
[in]	b	magma_s_matrix RHS b
[in,out]	x	magma_s_matrix* solution approximation
[in,out]	solver_par	magma_s_solver_par* solver parameters
[in]	queue	magma_queue_t Queue to execute in.

magma_sbicgstab_merge3()

magma_int_t magma_sbicgstab_merge3	(	magma_s_matrix	A,
		magma_s_matrix	b,
		magma_s_matrix *	x,
		magma_s_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_sbicgstab is that we use specifically designed kernels merging multiple operations into one kernel.

Parameters

[in]	A	magma_s_matrix input matrix A
[in]	b	magma_s_matrix RHS b
[in,out]	x	magma_s_matrix* solution approximation
[in,out]	solver_par	magma_s_solver_par* solver parameters
[in]	queue	magma_queue_t Queue to execute in.

magma_sbombard()

magma_int_t magma_sbombard	(	magma_s_matrix	A,
		magma_s_matrix	b,
		magma_s_matrix *	x,
		magma_s_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_s_matrix input matrix A
[in]	b	magma_s_matrix RHS b
[in,out]	x	magma_s_matrix* solution approximation
[in,out]	solver_par	magma_s_solver_par* solver parameters
[in]	queue	magma_queue_t Queue to execute in.

magma_sbombard_merge()

magma_int_t magma_sbombard_merge	(	magma_s_matrix	A,
		magma_s_matrix	b,
		magma_s_matrix *	x,
		magma_s_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_s_matrix input matrix A
[in]	b	magma_s_matrix RHS b
[in,out]	x	magma_s_matrix* solution approximation
[in,out]	solver_par	magma_s_solver_par* solver parameters
[in]	queue	magma_queue_t Queue to execute in.

magma_scgs()

magma_int_t magma_scgs	(	magma_s_matrix	A,
		magma_s_matrix	b,
		magma_s_matrix *	x,
		magma_s_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_s_matrix input matrix A
[in]	b	magma_s_matrix RHS b
[in,out]	x	magma_s_matrix* solution approximation
[in,out]	solver_par	magma_s_solver_par* solver parameters
[in]	queue	magma_queue_t Queue to execute in.

magma_sfgmres()

magma_int_t magma_sfgmres	(	magma_s_matrix	A,
		magma_s_matrix	b,
		magma_s_matrix *	x,
		magma_s_solver_par *	solver_par,
		magma_s_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_s_matrix descriptor for matrix A
[in]	b	magma_s_matrix RHS b vector
[in,out]	x	magma_s_matrix* solution approximation
[in,out]	solver_par	magma_s_solver_par* solver parameters
[in]	precond_par	magma_s_preconditioner* preconditioner
[in]	queue	magma_queue_t Queue to execute in.

magma_siterref()

magma_int_t magma_siterref	(	magma_s_matrix	A,
		magma_s_matrix	b,
		magma_s_matrix *	x,
		magma_s_solver_par *	solver_par,
		magma_s_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_s_matrix input matrix A
[in]	b	magma_s_matrix RHS b
[in,out]	x	magma_s_matrix* solution approximation
[in,out]	solver_par	magma_s_solver_par* solver parameters
[in,out]	precond_par	magma_s_preconditioner* inner solver
[in]	queue	magma_queue_t Queue to execute in.

magma_sjacobi()

magma_int_t magma_sjacobi	(	magma_s_matrix	A,
		magma_s_matrix	b,
		magma_s_matrix *	x,
		magma_s_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_s_matrix input matrix A
[in]	b	magma_s_matrix RHS b
[in,out]	x	magma_s_matrix* solution approximation
[in,out]	solver_par	magma_s_solver_par* solver parameters
[in]	queue	magma_queue_t Queue to execute in.

magma_sjacobidomainoverlap()

magma_int_t magma_sjacobidomainoverlap	(	magma_s_matrix	A,
		magma_s_matrix	b,
		magma_s_matrix *	x,
		magma_s_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_s_matrix input matrix A
[in]	b	magma_s_matrix RHS b
[in,out]	x	magma_s_matrix* solution approximation
[in,out]	solver_par	magma_s_solver_par* solver parameters
[in]	queue	magma_queue_t Queue to execute in.

magma_slsqr()

magma_int_t magma_slsqr	(	magma_s_matrix	A,
		magma_s_matrix	b,
		magma_s_matrix *	x,
		magma_s_solver_par *	solver_par,
		magma_s_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_s_matrix input matrix A
[in]	b	magma_s_matrix RHS b
[in,out]	x	magma_s_matrix* solution approximation
[in,out]	solver_par	magma_s_solver_par* solver parameters
[in,out]	precond_par	magma_s_preconditioner* preconditioner
[in]	queue	magma_queue_t Queue to execute in.

magma_spbicg()

magma_int_t magma_spbicg	(	magma_s_matrix	A,
		magma_s_matrix	b,
		magma_s_matrix *	x,
		magma_s_solver_par *	solver_par,
		magma_s_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_s_matrix input matrix A
[in]	b	magma_s_matrix RHS b
[in,out]	x	magma_s_matrix* solution approximation
[in,out]	solver_par	magma_s_solver_par* solver parameters
[in,out]	precond_par	magma_s_preconditioner* preconditioner
[in]	queue	magma_queue_t Queue to execute in.

magma_spbicgstab()

magma_int_t magma_spbicgstab	(	magma_s_matrix	A,
		magma_s_matrix	b,
		magma_s_matrix *	x,
		magma_s_solver_par *	solver_par,
		magma_s_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_s_matrix input matrix A
[in]	b	magma_s_matrix RHS b
[in,out]	x	magma_s_matrix* solution approximation
[in,out]	solver_par	magma_s_solver_par* solver parameters
[in]	precond_par	magma_s_preconditioner* preconditioner parameters
[in]	queue	magma_queue_t Queue to execute in.

magma_spbicgstab_merge()

magma_int_t magma_spbicgstab_merge	(	magma_s_matrix	A,
		magma_s_matrix	b,
		magma_s_matrix *	x,
		magma_s_solver_par *	solver_par,
		magma_s_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_s_matrix input matrix A
[in]	b	magma_s_matrix RHS b
[in,out]	x	magma_s_matrix* solution approximation
[in,out]	solver_par	magma_s_solver_par* solver parameters
[in]	precond_par	magma_s_preconditioner* preconditioner parameters
[in]	queue	magma_queue_t Queue to execute in.

magma_spcgs()

magma_int_t magma_spcgs	(	magma_s_matrix	A,
		magma_s_matrix	b,
		magma_s_matrix *	x,
		magma_s_solver_par *	solver_par,
		magma_s_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_s_matrix input matrix A
[in]	b	magma_s_matrix RHS b
[in,out]	x	magma_s_matrix* solution approximation
[in,out]	solver_par	magma_s_solver_par* solver parameters
[in]	precond_par	magma_s_preconditioner* preconditioner
[in]	queue	magma_queue_t Queue to execute in.

magma_spcgs_merge()

magma_int_t magma_spcgs_merge	(	magma_s_matrix	A,
		magma_s_matrix	b,
		magma_s_matrix *	x,
		magma_s_solver_par *	solver_par,
		magma_s_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_s_matrix input matrix A
[in]	b	magma_s_matrix RHS b
[in,out]	x	magma_s_matrix* solution approximation
[in,out]	solver_par	magma_s_solver_par* solver parameters
[in]	precond_par	magma_s_preconditioner* preconditioner
[in]	queue	magma_queue_t Queue to execute in.

magma_spqmr()

magma_int_t magma_spqmr	(	magma_s_matrix	A,
		magma_s_matrix	b,
		magma_s_matrix *	x,
		magma_s_solver_par *	solver_par,
		magma_s_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_s_matrix input matrix A
[in]	b	magma_s_matrix RHS b
[in,out]	x	magma_s_matrix* solution approximation
[in,out]	solver_par	magma_s_solver_par* solver parameters
[in]	precond_par	magma_s_preconditioner* preconditioner
[in]	queue	magma_queue_t Queue to execute in.

magma_spqmr_merge()

magma_int_t magma_spqmr_merge	(	magma_s_matrix	A,
		magma_s_matrix	b,
		magma_s_matrix *	x,
		magma_s_solver_par *	solver_par,
		magma_s_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_s_matrix input matrix A
[in]	b	magma_s_matrix RHS b
[in,out]	x	magma_s_matrix* solution approximation
[in,out]	solver_par	magma_s_solver_par* solver parameters
[in]	precond_par	magma_s_preconditioner* preconditioner
[in]	queue	magma_queue_t Queue to execute in.

magma_sptfqmr_merge()

magma_int_t magma_sptfqmr_merge	(	magma_s_matrix	A,
		magma_s_matrix	b,
		magma_s_matrix *	x,
		magma_s_solver_par *	solver_par,
		magma_s_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_s_matrix input matrix A
[in]	b	magma_s_matrix RHS b
[in,out]	x	magma_s_matrix* solution approximation
[in,out]	solver_par	magma_s_solver_par* solver parameters
[in,out]	precond_par	magma_s_preconditioner* preconditioner
[in]	queue	magma_queue_t Queue to execute in.

magma_sqmr()

magma_int_t magma_sqmr	(	magma_s_matrix	A,
		magma_s_matrix	b,
		magma_s_matrix *	x,
		magma_s_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_s_matrix input matrix A
[in]	b	magma_s_matrix RHS b
[in,out]	x	magma_s_matrix* solution approximation
[in,out]	solver_par	magma_s_solver_par* solver parameters
[in]	queue	magma_queue_t Queue to execute in.

magma_sqmr_merge()

magma_int_t magma_sqmr_merge	(	magma_s_matrix	A,
		magma_s_matrix	b,
		magma_s_matrix *	x,
		magma_s_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_s_matrix input matrix A
[in]	b	magma_s_matrix RHS b
[in,out]	x	magma_s_matrix* solution approximation
[in,out]	solver_par	magma_s_solver_par* solver parameters
[in]	queue	magma_queue_t Queue to execute in.

magma_stfqmr()

magma_int_t magma_stfqmr	(	magma_s_matrix	A,
		magma_s_matrix	b,
		magma_s_matrix *	x,
		magma_s_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_s_matrix input matrix A
[in]	b	magma_s_matrix RHS b
[in,out]	x	magma_s_matrix* solution approximation
[in,out]	solver_par	magma_s_solver_par* solver parameters
[in]	queue	magma_queue_t Queue to execute in.

magma_stfqmr_merge()

magma_int_t magma_stfqmr_merge	(	magma_s_matrix	A,
		magma_s_matrix	b,
		magma_s_matrix *	x,
		magma_s_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_s_matrix input matrix A
[in]	b	magma_s_matrix RHS b
[in,out]	x	magma_s_matrix* solution approximation
[in,out]	solver_par	magma_s_solver_par* solver parameters
[in]	queue	magma_queue_t Queue to execute in.

magma_stfqmr_unrolled()

magma_int_t magma_stfqmr_unrolled	(	magma_s_matrix	A,
		magma_s_matrix	b,
		magma_s_matrix *	x,
		magma_s_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_s_matrix input matrix A
[in]	b	magma_s_matrix RHS b
[in,out]	x	magma_s_matrix* solution approximation
[in,out]	solver_par	magma_s_solver_par* solver parameters
[in]	queue	magma_queue_t Queue to execute in.