Functions
magma_int_t	magma_cbpcg (magma_c_matrix A, magma_c_matrix b, magma_c_matrix x, magma_c_solver_par solver_par, magma_c_preconditioner *precond_par, magma_queue_t queue)
	Solves a system of linear equations A * X = B where A is a complex Hermitian N-by-N positive definite matrix A. More...

magma_int_t	magma_ccg (magma_c_matrix A, magma_c_matrix b, magma_c_matrix x, magma_c_solver_par solver_par, magma_queue_t queue)
	Solves a system of linear equations A * X = B where A is a complex Hermitian N-by-N positive definite matrix A. More...

magma_int_t	magma_ccg_merge (magma_c_matrix A, magma_c_matrix b, magma_c_matrix x, magma_c_solver_par solver_par, magma_queue_t queue)
	Solves a system of linear equations A * X = B where A is a complex matrix A. More...

magma_int_t	magma_ccg_res (magma_c_matrix A, magma_c_matrix b, magma_c_matrix x, magma_c_solver_par solver_par, magma_queue_t queue)
	Solves a system of linear equations A * X = B where A is a complex Hermitian N-by-N positive definite matrix A. More...

magma_int_t	magma_ccgs_merge (magma_c_matrix A, magma_c_matrix b, magma_c_matrix x, magma_c_solver_par solver_par, magma_queue_t queue)
	Solves a system of linear equations A * X = B where A is a complex Hermitian N-by-N positive definite matrix A. More...

magma_int_t	magma_cidr_merge (magma_c_matrix A, magma_c_matrix b, magma_c_matrix x, magma_c_solver_par solver_par, magma_queue_t queue)
	Solves a system of linear equations A * X = B where A is a general complex N-by-N matrix A. More...

magma_int_t	magma_cidr_strms (magma_c_matrix A, magma_c_matrix b, magma_c_matrix x, magma_c_solver_par solver_par, magma_queue_t queue)
	Solves a system of linear equations A * X = B where A is a general complex N-by-N matrix A. More...

magma_int_t	magma_cpcg_merge (magma_c_matrix A, magma_c_matrix b, magma_c_matrix x, magma_c_solver_par solver_par, magma_c_preconditioner *precond_par, magma_queue_t queue)
	Solves a system of linear equations A * X = B where A is a complex matrix A. More...

magma_int_t	magma_cpidr_merge (magma_c_matrix A, magma_c_matrix b, magma_c_matrix x, magma_c_solver_par solver_par, magma_c_preconditioner *precond_par, magma_queue_t queue)
	Solves a system of linear equations A * X = B where A is a complex Hermitian N-by-N positive definite matrix A. More...

magma_int_t	magma_cpidr_strms (magma_c_matrix A, magma_c_matrix b, magma_c_matrix x, magma_c_solver_par solver_par, magma_c_preconditioner *precond_par, magma_queue_t queue)
	Solves a system of linear equations A * X = B where A is a complex Hermitian N-by-N positive definite matrix A. More...

magma_int_t	magma_cptfqmr (magma_c_matrix A, magma_c_matrix b, magma_c_matrix x, magma_c_solver_par solver_par, magma_c_preconditioner *precond_par, magma_queue_t queue)
	Solves a system of linear equations A * X = B where A is a complex Hermitian N-by-N positive definite matrix A. More...

magma_int_t	magma_cqr (magma_int_t m, magma_int_t n, magma_c_matrix A, magma_int_t lda, magma_c_matrix Q, magma_c_matrix R, magma_queue_t queue)
	This is a wrapper to call MAGMA QR on the data structure of sparse matrices. More...

Detailed Description

Function Documentation

magma_int_t magma_cbpcg	(	magma_c_matrix	A,
		magma_c_matrix	b,
		magma_c_matrix *	x,
		magma_c_solver_par *	solver_par,
		magma_c_preconditioner *	precond_par,
		magma_queue_t	queue
	)

Solves a system of linear equations A * X = B where A is a complex Hermitian N-by-N positive definite matrix A.

This is a GPU implementation of the block preconditioned Conjugate Gradient method.

Parameters

[in]	A	magma_c_matrix input matrix A
[in]	b	magma_c_matrix RHS b - can be a block
[in,out]	x	magma_c_matrix* solution approximation
[in,out]	solver_par	magma_c_solver_par* solver parameters
[in]	precond_par	magma_c_preconditioner* preconditioner
[in]	queue	magma_queue_t Queue to execute in.

magma_int_t magma_ccg	(	magma_c_matrix	A,
		magma_c_matrix	b,
		magma_c_matrix *	x,
		magma_c_solver_par *	solver_par,
		magma_queue_t	queue
	)

Solves a system of linear equations A * X = B where A is a complex Hermitian N-by-N positive definite matrix A.

This is a GPU implementation of the Conjugate Gradient method.

Parameters

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

magma_int_t magma_ccg_merge	(	magma_c_matrix	A,
		magma_c_matrix	b,
		magma_c_matrix *	x,
		magma_c_solver_par *	solver_par,
		magma_queue_t	queue
	)

Solves a system of linear equations A * X = B where A is a complex 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_c_matrix input matrix A
[in]	b	magma_c_matrix RHS b
[in,out]	x	magma_c_matrix* solution approximation
[in,out]	solver_par	magma_c_solver_par* solver parameters
[in]	queue	magma_queue_t Queue to execute in.

magma_int_t magma_ccg_res	(	magma_c_matrix	A,
		magma_c_matrix	b,
		magma_c_matrix *	x,
		magma_c_solver_par *	solver_par,
		magma_queue_t	queue
	)

Solves a system of linear equations A * X = B where A is a complex Hermitian N-by-N positive definite matrix A.

This is a GPU implementation of the preconditioned Conjugate Gradient method.

Parameters

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

magma_int_t magma_ccgs_merge	(	magma_c_matrix	A,
		magma_c_matrix	b,
		magma_c_matrix *	x,
		magma_c_solver_par *	solver_par,
		magma_queue_t	queue
	)

Solves a system of linear equations A * X = B where A is a complex Hermitian N-by-N positive definite matrix A.

This is a GPU implementation of the Conjugate Gradient Squared (CGS) method.

Parameters

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

magma_int_t magma_cidr_merge	(	magma_c_matrix	A,
		magma_c_matrix	b,
		magma_c_matrix *	x,
		magma_c_solver_par *	solver_par,
		magma_queue_t	queue
	)

Solves a system of linear equations A * X = B where A is a general complex N-by-N matrix A.

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

Parameters

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

magma_int_t magma_cidr_strms	(	magma_c_matrix	A,
		magma_c_matrix	b,
		magma_c_matrix *	x,
		magma_c_solver_par *	solver_par,
		magma_queue_t	queue
	)

Solves a system of linear equations A * X = B where A is a general complex 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_c_matrix input matrix A
[in]	b	magma_c_matrix RHS b
[in,out]	x	magma_c_matrix* solution approximation
[in,out]	solver_par	magma_c_solver_par* solver parameters
[in]	queue	magma_queue_t Queue to execute in.

magma_int_t magma_cpcg_merge	(	magma_c_matrix	A,
		magma_c_matrix	b,
		magma_c_matrix *	x,
		magma_c_solver_par *	solver_par,
		magma_c_preconditioner *	precond_par,
		magma_queue_t	queue
	)

Solves a system of linear equations A * X = B where A is a complex 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_c_matrix input matrix A
[in]	b	magma_c_matrix RHS b
[in,out]	x	magma_c_matrix* solution approximation
[in,out]	solver_par	magma_c_solver_par* solver parameters
[in]	precond_par	magma_c_preconditioner* preconditioner
[in]	queue	magma_queue_t Queue to execute in.

magma_int_t magma_cpidr_merge	(	magma_c_matrix	A,
		magma_c_matrix	b,
		magma_c_matrix *	x,
		magma_c_solver_par *	solver_par,
		magma_c_preconditioner *	precond_par,
		magma_queue_t	queue
	)

Solves a system of linear equations A * X = B where A is a complex Hermitian 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_c_matrix input matrix A
[in]	b	magma_c_matrix RHS b
[in,out]	x	magma_c_matrix* solution approximation
[in,out]	solver_par	magma_c_solver_par* solver parameters
[in]	precond_par	magma_c_preconditioner* preconditioner
[in]	queue	magma_queue_t Queue to execute in.

magma_int_t magma_cpidr_strms	(	magma_c_matrix	A,
		magma_c_matrix	b,
		magma_c_matrix *	x,
		magma_c_solver_par *	solver_par,
		magma_c_preconditioner *	precond_par,
		magma_queue_t	queue
	)

Solves a system of linear equations A * X = B where A is a complex Hermitian 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_c_matrix input matrix A
[in]	b	magma_c_matrix RHS b
[in,out]	x	magma_c_matrix* solution approximation
[in,out]	solver_par	magma_c_solver_par* solver parameters
[in]	precond_par	magma_c_preconditioner* preconditioner
[in]	queue	magma_queue_t Queue to execute in.

magma_int_t magma_cptfqmr	(	magma_c_matrix	A,
		magma_c_matrix	b,
		magma_c_matrix *	x,
		magma_c_solver_par *	solver_par,
		magma_c_preconditioner *	precond_par,
		magma_queue_t	queue
	)

Solves a system of linear equations A * X = B where A is a complex Hermitian 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_c_matrix input matrix A
[in]	b	magma_c_matrix RHS b
[in,out]	x	magma_c_matrix* solution approximation
[in,out]	solver_par	magma_c_solver_par* solver parameters
[in,out]	precond_par	magma_c_preconditioner* preconditioner
[in]	queue	magma_queue_t Queue to execute in.

magma_int_t magma_cqr	(	magma_int_t	m,
		magma_int_t	n,
		magma_c_matrix	A,
		magma_int_t	lda,
		magma_c_matrix *	Q,
		magma_c_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_c_matrix input matrix A
[in]	lda	magma_int_t leading dimension matrix A
[in,out]	Q	magma_c_matrix* input matrix Q
[in,out]	R	magma_c_matrix* input matrix R
[in]	queue	magma_queue_t Queue to execute in.

Functions

Detailed Description

Function Documentation