single precision

Functions
magma_int_t	magma_sqr (magma_int_t m, magma_int_t n, magma_s_matrix A, magma_int_t lda, magma_s_matrix *Q, magma_s_matrix *R, magma_queue_t queue)
	This is a wrapper to call MAGMA QR on the data structure of sparse matrices.
magma_int_t	magma_sbpcg (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_scg (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_scg_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_scg_res (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_scgs_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 symmetric N-by-N positive definite matrix A.
magma_int_t	magma_sidr_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 real N-by-N matrix A.
magma_int_t	magma_sidr_strms (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 N-by-N matrix A.
magma_int_t	magma_spcg_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_spidr_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 symmetric N-by-N positive definite matrix A.
magma_int_t	magma_spidr_strms (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_sptfqmr (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.

Detailed Description

Function Documentation

magma_sqr()

magma_int_t magma_sqr	(	magma_int_t	m,
		magma_int_t	n,
		magma_s_matrix	A,
		magma_int_t	lda,
		magma_s_matrix *	Q,
		magma_s_matrix *	R,
		magma_queue_t	queue )

This is a wrapper to call MAGMA QR on the data structure of sparse matrices.

Output matrices Q and R reside on the same memory location as matrix A. On exit, Q is a M-by-N matrix in lda-by-N space. On exit, R is a min(M,N)-by-N upper trapezoidal matrix.

Parameters

[in]	m	magma_int_t dimension m
[in]	n	magma_int_t dimension n
[in]	A	magma_s_matrix input matrix A
[in]	lda	magma_int_t leading dimension matrix A
[in,out]	Q	magma_s_matrix* input matrix Q
[in,out]	R	magma_s_matrix* input matrix R
[in]	queue	magma_queue_t Queue to execute in.

magma_sbpcg()

magma_int_t magma_sbpcg	(	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 block preconditioned Conjugate Gradient method.

Parameters

[in]	A	magma_s_matrix input matrix A
[in]	b	magma_s_matrix RHS b - can be a block
[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_scg()

magma_int_t magma_scg	(	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 Conjugate 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_scg_merge()

magma_int_t magma_scg_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 Conjugate Gradient method in variant, where multiple operations are merged into one compute 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_scg_res()

magma_int_t magma_scg_res	(	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 preconditioned Conjugate 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_scgs_merge()

magma_int_t magma_scgs_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 symmetric N-by-N positive definite 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_sidr_merge()

magma_int_t magma_sidr_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 real N-by-N matrix A.

This is a GPU implementation of the Induced Dimension Reduction method applying kernel fusion.

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_sidr_strms()

magma_int_t magma_sidr_strms	(	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 N-by-N matrix A.

This is a GPU implementation of the Induced Dimension Reduction method applying kernel fusion and kernel 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_spcg_merge()

magma_int_t magma_spcg_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 Conjugate Gradient method in variant, where multiple operations are merged into one compute 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]	precond_par	magma_s_preconditioner* preconditioner
[in]	queue	magma_queue_t Queue to execute in.

magma_spidr_merge()

magma_int_t magma_spidr_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 symmetric N-by-N positive definite matrix A.

This is a GPU implementation of the preconditioned Induced Dimension Reduction method applying kernel fusion.

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_spidr_strms()

magma_int_t magma_spidr_strms	(	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 preconditioned Induced Dimension Reduction method applying kernel fusion and kernel 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]	precond_par	magma_s_preconditioner* preconditioner
[in]	queue	magma_queue_t Queue to execute in.

magma_sptfqmr()

magma_int_t magma_sptfqmr	(	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 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.