double precision

Functions
magma_int_t	magma_dbpcg (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_dcg (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_dcg_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_dcg_res (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_dcgs_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 symmetric N-by-N positive definite matrix A.
magma_int_t	magma_didr_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 real N-by-N matrix A.
magma_int_t	magma_didr_strms (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 N-by-N matrix A.
magma_int_t	magma_dpcg_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_dpidr_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 symmetric N-by-N positive definite matrix A.
magma_int_t	magma_dpidr_strms (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_dptfqmr (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_dqr (magma_int_t m, magma_int_t n, magma_d_matrix A, magma_int_t lda, magma_d_matrix *Q, magma_d_matrix *R, magma_queue_t queue)
	This is a wrapper to call MAGMA QR on the data structure of sparse matrices.

Detailed Description

Function Documentation

magma_dbpcg()

magma_int_t magma_dbpcg	(	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 block preconditioned Conjugate Gradient method.

Parameters

[in]	A	magma_d_matrix input matrix A
[in]	b	magma_d_matrix RHS b - can be a block
[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_dcg()

magma_int_t magma_dcg	(	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 Conjugate 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_dcg_merge()

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

magma_int_t magma_dcg_res	(	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 preconditioned Conjugate 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_dcgs_merge()

magma_int_t magma_dcgs_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 symmetric N-by-N positive definite 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_didr_merge()

magma_int_t magma_didr_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 real N-by-N matrix A.

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

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_didr_strms()

magma_int_t magma_didr_strms	(	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 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_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_dpcg_merge()

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

magma_dpidr_merge()

magma_int_t magma_dpidr_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 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_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_dpidr_strms()

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

magma_dptfqmr()

magma_int_t magma_dptfqmr	(	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 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_dqr()

magma_int_t magma_dqr	(	magma_int_t	m,
		magma_int_t	n,
		magma_d_matrix	A,
		magma_int_t	lda,
		magma_d_matrix *	Q,
		magma_d_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_d_matrix input matrix A
[in]	lda	magma_int_t leading dimension matrix A
[in,out]	Q	magma_d_matrix* input matrix Q
[in,out]	R	magma_d_matrix* input matrix R
[in]	queue	magma_queue_t Queue to execute in.