double-complex precision

Functions
magma_int_t	magma_zqr (magma_int_t m, magma_int_t n, magma_z_matrix A, magma_int_t lda, magma_z_matrix *Q, magma_z_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_zbpcg (magma_z_matrix A, magma_z_matrix b, magma_z_matrix *x, magma_z_solver_par *solver_par, magma_z_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.
magma_int_t	magma_zcg (magma_z_matrix A, magma_z_matrix b, magma_z_matrix *x, magma_z_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.
magma_int_t	magma_zcg_merge (magma_z_matrix A, magma_z_matrix b, magma_z_matrix *x, magma_z_solver_par *solver_par, magma_queue_t queue)
	Solves a system of linear equations A * X = B where A is a complex matrix A.
magma_int_t	magma_zcg_res (magma_z_matrix A, magma_z_matrix b, magma_z_matrix *x, magma_z_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.
magma_int_t	magma_zcgs_merge (magma_z_matrix A, magma_z_matrix b, magma_z_matrix *x, magma_z_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.
magma_int_t	magma_zidr_merge (magma_z_matrix A, magma_z_matrix b, magma_z_matrix *x, magma_z_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.
magma_int_t	magma_zidr_strms (magma_z_matrix A, magma_z_matrix b, magma_z_matrix *x, magma_z_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.
magma_int_t	magma_zpcg_merge (magma_z_matrix A, magma_z_matrix b, magma_z_matrix *x, magma_z_solver_par *solver_par, magma_z_preconditioner *precond_par, magma_queue_t queue)
	Solves a system of linear equations A * X = B where A is a complex matrix A.
magma_int_t	magma_zpidr_merge (magma_z_matrix A, magma_z_matrix b, magma_z_matrix *x, magma_z_solver_par *solver_par, magma_z_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.
magma_int_t	magma_zpidr_strms (magma_z_matrix A, magma_z_matrix b, magma_z_matrix *x, magma_z_solver_par *solver_par, magma_z_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.
magma_int_t	magma_zptfqmr (magma_z_matrix A, magma_z_matrix b, magma_z_matrix *x, magma_z_solver_par *solver_par, magma_z_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.

Detailed Description

Function Documentation

magma_zqr()

magma_int_t magma_zqr	(	magma_int_t	m,
		magma_int_t	n,
		magma_z_matrix	A,
		magma_int_t	lda,
		magma_z_matrix *	Q,
		magma_z_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_z_matrix input matrix A
[in]	lda	magma_int_t leading dimension matrix A
[in,out]	Q	magma_z_matrix* input matrix Q
[in,out]	R	magma_z_matrix* input matrix R
[in]	queue	magma_queue_t Queue to execute in.

magma_zbpcg()

magma_int_t magma_zbpcg	(	magma_z_matrix	A,
		magma_z_matrix	b,
		magma_z_matrix *	x,
		magma_z_solver_par *	solver_par,
		magma_z_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_z_matrix input matrix A
[in]	b	magma_z_matrix RHS b - can be a block
[in,out]	x	magma_z_matrix* solution approximation
[in,out]	solver_par	magma_z_solver_par* solver parameters
[in]	precond_par	magma_z_preconditioner* preconditioner
[in]	queue	magma_queue_t Queue to execute in.

magma_zcg()

magma_int_t magma_zcg	(	magma_z_matrix	A,
		magma_z_matrix	b,
		magma_z_matrix *	x,
		magma_z_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_z_matrix input matrix A
[in]	b	magma_z_matrix RHS b
[in,out]	x	magma_z_matrix* solution approximation
[in,out]	solver_par	magma_z_solver_par* solver parameters
[in]	queue	magma_queue_t Queue to execute in.

magma_zcg_merge()

magma_int_t magma_zcg_merge	(	magma_z_matrix	A,
		magma_z_matrix	b,
		magma_z_matrix *	x,
		magma_z_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_z_matrix input matrix A
[in]	b	magma_z_matrix RHS b
[in,out]	x	magma_z_matrix* solution approximation
[in,out]	solver_par	magma_z_solver_par* solver parameters
[in]	queue	magma_queue_t Queue to execute in.

magma_zcg_res()

magma_int_t magma_zcg_res	(	magma_z_matrix	A,
		magma_z_matrix	b,
		magma_z_matrix *	x,
		magma_z_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_z_matrix input matrix A
[in]	b	magma_z_matrix RHS b
[in,out]	x	magma_z_matrix* solution approximation
[in,out]	solver_par	magma_z_solver_par* solver parameters
[in]	queue	magma_queue_t Queue to execute in.

magma_zcgs_merge()

magma_int_t magma_zcgs_merge	(	magma_z_matrix	A,
		magma_z_matrix	b,
		magma_z_matrix *	x,
		magma_z_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_z_matrix input matrix A
[in]	b	magma_z_matrix RHS b
[in,out]	x	magma_z_matrix* solution approximation
[in,out]	solver_par	magma_z_solver_par* solver parameters
[in]	queue	magma_queue_t Queue to execute in.

magma_zidr_merge()

magma_int_t magma_zidr_merge	(	magma_z_matrix	A,
		magma_z_matrix	b,
		magma_z_matrix *	x,
		magma_z_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_z_matrix input matrix A
[in]	b	magma_z_matrix RHS b
[in,out]	x	magma_z_matrix* solution approximation
[in,out]	solver_par	magma_z_solver_par* solver parameters
[in]	queue	magma_queue_t Queue to execute in.

magma_zidr_strms()

magma_int_t magma_zidr_strms	(	magma_z_matrix	A,
		magma_z_matrix	b,
		magma_z_matrix *	x,
		magma_z_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_z_matrix input matrix A
[in]	b	magma_z_matrix RHS b
[in,out]	x	magma_z_matrix* solution approximation
[in,out]	solver_par	magma_z_solver_par* solver parameters
[in]	queue	magma_queue_t Queue to execute in.

magma_zpcg_merge()

magma_int_t magma_zpcg_merge	(	magma_z_matrix	A,
		magma_z_matrix	b,
		magma_z_matrix *	x,
		magma_z_solver_par *	solver_par,
		magma_z_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_z_matrix input matrix A
[in]	b	magma_z_matrix RHS b
[in,out]	x	magma_z_matrix* solution approximation
[in,out]	solver_par	magma_z_solver_par* solver parameters
[in]	precond_par	magma_z_preconditioner* preconditioner
[in]	queue	magma_queue_t Queue to execute in.

magma_zpidr_merge()

magma_int_t magma_zpidr_merge	(	magma_z_matrix	A,
		magma_z_matrix	b,
		magma_z_matrix *	x,
		magma_z_solver_par *	solver_par,
		magma_z_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_z_matrix input matrix A
[in]	b	magma_z_matrix RHS b
[in,out]	x	magma_z_matrix* solution approximation
[in,out]	solver_par	magma_z_solver_par* solver parameters
[in]	precond_par	magma_z_preconditioner* preconditioner
[in]	queue	magma_queue_t Queue to execute in.

magma_zpidr_strms()

magma_int_t magma_zpidr_strms	(	magma_z_matrix	A,
		magma_z_matrix	b,
		magma_z_matrix *	x,
		magma_z_solver_par *	solver_par,
		magma_z_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_z_matrix input matrix A
[in]	b	magma_z_matrix RHS b
[in,out]	x	magma_z_matrix* solution approximation
[in,out]	solver_par	magma_z_solver_par* solver parameters
[in]	precond_par	magma_z_preconditioner* preconditioner
[in]	queue	magma_queue_t Queue to execute in.

magma_zptfqmr()

magma_int_t magma_zptfqmr	(	magma_z_matrix	A,
		magma_z_matrix	b,
		magma_z_matrix *	x,
		magma_z_solver_par *	solver_par,
		magma_z_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_z_matrix input matrix A
[in]	b	magma_z_matrix RHS b
[in,out]	x	magma_z_matrix* solution approximation
[in,out]	solver_par	magma_z_solver_par* solver parameters
[in,out]	precond_par	magma_z_preconditioner* preconditioner
[in]	queue	magma_queue_t Queue to execute in.