Approximation routines

Approximation schemes for dense matrices. More...

Collaboration diagram for Approximation routines:

Typedefs
typedef int	STARSH_blrm_approximate(STARSH_blrm **matrix, STARSH_blrf *format, int maxrank, double tol, int onfly)
	Typedef for prototype of approximation routine.

Functions
int	starsh_blrm__dsdd (STARSH_blrm **matrix, STARSH_blrf *format, int maxrank, double tol, int onfly)
	Approximate each tile by divide-and-conquer SVD (GESDD function). More...
int	starsh_blrm__drsdd (STARSH_blrm **matrix, STARSH_blrf *format, int maxrank, double tol, int onfly)
	Approximate each tile by randomized SVD. More...
int	starsh_blrm__dqp3 (STARSH_blrm **matrix, STARSH_blrf *format, int maxrank, double tol, int onfly)
	Approximate each tile of BLR matrix with RRQR (GEQP3 function). More...
int	starsh_blrm__dsdd_omp (STARSH_blrm **matrix, STARSH_blrf *format, int maxrank, double tol, int onfly)
	Approximate each tile by divide-and-conquer SVD (GESDD function). More...
int	starsh_blrm__drsdd_omp (STARSH_blrm **matrix, STARSH_blrf *format, int maxrank, double tol, int onfly)
	Approximate each tile by randomized SVD. More...
int	starsh_blrm__dqp3_omp (STARSH_blrm **matrix, STARSH_blrf *format, int maxrank, double tol, int onfly)
	Approximate each tile of BLR matrix with RRQR (GEQP3 function). More...
int	starsh_blrm__dsdd_mpi (STARSH_blrm **matrix, STARSH_blrf *format, int maxrank, double tol, int onfly)
	Approximate each tile by divide-and-conquer SVD (GESDD function). More...
int	starsh_blrm__drsdd_mpi (STARSH_blrm **matrix, STARSH_blrf *format, int maxrank, double tol, int onfly)
	Approximate each tile by randomized SVD. More...
int	starsh_blrm__dqp3_mpi (STARSH_blrm **matrix, STARSH_blrf *format, int maxrank, double tol, int onfly)
	Approximate each tile of BLR matrix with RRQR (GEQP3 function). More...
int	starsh_blrm__dna_mpi (STARSH_blrm **matrix, STARSH_blrf *format, int maxrank, double tol, int onfly)
	Simply compute matrix without any approximation. More...
int	starsh_blrm__dsdd_starpu (STARSH_blrm **matrix, STARSH_blrf *format, int maxrank, double tol, int onfly)
	Approximate each tile by divide-and-conquer SVD (GESDD function). More...
int	starsh_blrm__drsdd_starpu (STARSH_blrm **matrix, STARSH_blrf *format, int maxrank, double tol, int onfly)
	Approximate each tile by randomized SVD. More...
int	starsh_blrm__dqp3_starpu (STARSH_blrm **matrix, STARSH_blrf *format, int maxrank, double tol, int onfly)
	Approximate each tile of BLR matrix with RRQR (GEQP3 function). More...
int	starsh_blrm__dsdd_mpi_starpu (STARSH_blrm **matrix, STARSH_blrf *format, int maxrank, double tol, int onfly)
	Approximate each tile by divide-and-conquer SVD (GESDD function). More...
int	starsh_blrm__drsdd_mpi_starpu (STARSH_blrm **matrix, STARSH_blrf *format, int maxrank, double tol, int onfly)
	Approximate each tile by randomized SVD. More...
int	starsh_blrm__dqp3_mpi_starpu (STARSH_blrm **matrix, STARSH_blrf *format, int maxrank, double tol, int onfly)
	Approximate each tile of BLR matrix with RRQR (GEQP3 function). More...

Detailed Description

Approximation schemes for dense matrices.

Function Documentation

starsh_blrm__dna_mpi()

int starsh_blrm__dna_mpi	(	STARSH_blrm **	matrix,
		STARSH_blrf *	format,
		int	maxrank,
		double	tol,
		int	onfly
	)

Simply compute matrix without any approximation.

Parameters

[out]	matrix	Address of pointer to STARSH_blrm object.
[in]	format	Block low-rank format.
[in]	maxrank	Maximum possible rank.
[in]	tol	Relative error tolerance.
[in]	onfly	Whether not to store dense blocks.

starsh_blrm__dqp3()

int starsh_blrm__dqp3	(	STARSH_blrm **	matrix,
		STARSH_blrf *	format,
		int	maxrank,
		double	tol,
		int	onfly
	)

Approximate each tile of BLR matrix with RRQR (GEQP3 function).

Parameters

[out]	matrix	Address of pointer to STARSH_blrm object.
[in]	format	Block low-rank format.
[in]	maxrank	Maximum possible rank.
[in]	tol	Relative error tolerance.
[in]	onfly	Whether not to store dense blocks.

Returns

Error code STARSH_ERRNO.

starsh_blrm__dqp3_mpi()

int starsh_blrm__dqp3_mpi	(	STARSH_blrm **	matrix,
		STARSH_blrf *	format,
		int	maxrank,
		double	tol,
		int	onfly
	)

Approximate each tile of BLR matrix with RRQR (GEQP3 function).

Parameters

[out]	matrix	Address of pointer to STARSH_blrm object.
[in]	format	Block low-rank format.
[in]	maxrank	Maximum possible rank.
[in]	tol	Relative error tolerance.
[in]	onfly	Whether not to store dense blocks.

Returns

Error code STARSH_ERRNO.

starsh_blrm__dqp3_mpi_starpu()

int starsh_blrm__dqp3_mpi_starpu	(	STARSH_blrm **	matrix,
		STARSH_blrf *	format,
		int	maxrank,
		double	tol,
		int	onfly
	)

Approximate each tile of BLR matrix with RRQR (GEQP3 function).

Parameters

[out]	matrix	Address of pointer to STARSH_blrm object.
[in]	format	Block low-rank format.
[in]	maxrank	Maximum possible rank.
[in]	tol	Relative error tolerance.
[in]	onfly	Whether not to store dense blocks.

Returns

Error code STARSH_ERRNO.

starsh_blrm__dqp3_omp()

int starsh_blrm__dqp3_omp	(	STARSH_blrm **	matrix,
		STARSH_blrf *	format,
		int	maxrank,
		double	tol,
		int	onfly
	)

Approximate each tile of BLR matrix with RRQR (GEQP3 function).

Parameters

[out]	matrix	Address of pointer to STARSH_blrm object.
[in]	format	Block low-rank format.
[in]	maxrank	Maximum possible rank.
[in]	tol	Relative error tolerance.
[in]	onfly	Whether not to store dense blocks.

Returns

Error code STARSH_ERRNO.

starsh_blrm__dqp3_starpu()

int starsh_blrm__dqp3_starpu	(	STARSH_blrm **	matrix,
		STARSH_blrf *	format,
		int	maxrank,
		double	tol,
		int	onfly
	)

Approximate each tile of BLR matrix with RRQR (GEQP3 function).

Parameters

[out]	matrix	Address of pointer to STARSH_blrm object.
[in]	format	Block low-rank format.
[in]	maxrank	Maximum possible rank.
[in]	tol	Relative error tolerance.
[in]	onfly	Whether not to store dense blocks.

Returns

Error code STARSH_ERRNO.

starsh_blrm__drsdd()

int starsh_blrm__drsdd	(	STARSH_blrm **	matrix,
		STARSH_blrf *	format,
		int	maxrank,
		double	tol,
		int	onfly
	)

Approximate each tile by randomized SVD.

Parameters

[out]	matrix	Address of pointer to STARSH_blrm object.
[in]	format	Block low-rank format.
[in]	maxrank	Maximum possible rank.
[in]	tol	Relative error tolerance.
[in]	onfly	Whether not to store dense blocks.

Returns

Error code STARSH_ERRNO.

starsh_blrm__drsdd_mpi()

int starsh_blrm__drsdd_mpi	(	STARSH_blrm **	matrix,
		STARSH_blrf *	format,
		int	maxrank,
		double	tol,
		int	onfly
	)

Approximate each tile by randomized SVD.

Parameters

[out]	matrix	Address of pointer to STARSH_blrm object.
[in]	format	Block low-rank format.
[in]	maxrank	Maximum possible rank.
[in]	tol	Relative error tolerance.
[in]	onfly	Whether not to store dense blocks.

Returns

Error code STARSH_ERRNO.

starsh_blrm__drsdd_mpi_starpu()

int starsh_blrm__drsdd_mpi_starpu	(	STARSH_blrm **	matrix,
		STARSH_blrf *	format,
		int	maxrank,
		double	tol,
		int	onfly
	)

Approximate each tile by randomized SVD.

Parameters

[out]	matrix	Address of pointer to STARSH_blrm object.
[in]	format	Block low-rank format.
[in]	maxrank	Maximum possible rank.
[in]	tol	Relative error tolerance.
[in]	onfly	Whether not to store dense blocks.

Returns

Error code STARSH_ERRNO.

starsh_blrm__drsdd_omp()

int starsh_blrm__drsdd_omp	(	STARSH_blrm **	matrix,
		STARSH_blrf *	format,
		int	maxrank,
		double	tol,
		int	onfly
	)

Approximate each tile by randomized SVD.

Parameters

[out]	matrix	Address of pointer to STARSH_blrm object.
[in]	format	Block low-rank format.
[in]	maxrank	Maximum possible rank.
[in]	tol	Relative error tolerance.
[in]	onfly	Whether not to store dense blocks.

starsh_blrm__drsdd_starpu()

int starsh_blrm__drsdd_starpu	(	STARSH_blrm **	matrix,
		STARSH_blrf *	format,
		int	maxrank,
		double	tol,
		int	onfly
	)

Approximate each tile by randomized SVD.

Parameters

[out]	matrix	Address of pointer to STARSH_blrm object.
[in]	format	Block low-rank format.
[in]	maxrank	Maximum possible rank.
[in]	tol	Relative error tolerance.
[in]	onfly	Whether not to store dense blocks.

Returns

Error code STARSH_ERRNO.

starsh_blrm__dsdd()

int starsh_blrm__dsdd	(	STARSH_blrm **	matrix,
		STARSH_blrf *	format,
		int	maxrank,
		double	tol,
		int	onfly
	)

Approximate each tile by divide-and-conquer SVD (GESDD function).

Parameters

[out]	matrix	Address of pointer to STARSH_blrm object.
[in]	format	Block low-rank format.
[in]	maxrank	Maximum possible rank.
[in]	tol	Relative error tolerance.
[in]	onfly	Whether not to store dense blocks.

Returns

Error code STARSH_ERRNO.

starsh_blrm__dsdd_mpi()

int starsh_blrm__dsdd_mpi	(	STARSH_blrm **	matrix,
		STARSH_blrf *	format,
		int	maxrank,
		double	tol,
		int	onfly
	)

Approximate each tile by divide-and-conquer SVD (GESDD function).

Parameters

[out]	matrix	Address of pointer to STARSH_blrm object.
[in]	format	Block low-rank format.
[in]	maxrank	Maximum possible rank.
[in]	tol	Relative error tolerance.
[in]	onfly	Whether not to store dense blocks.

Returns

Error code STARSH_ERRNO.

starsh_blrm__dsdd_mpi_starpu()

int starsh_blrm__dsdd_mpi_starpu	(	STARSH_blrm **	matrix,
		STARSH_blrf *	format,
		int	maxrank,
		double	tol,
		int	onfly
	)

Approximate each tile by divide-and-conquer SVD (GESDD function).

Parameters

[out]	matrix	Address of pointer to STARSH_blrm object.
[in]	format	Block low-rank format.
[in]	maxrank	Maximum possible rank.
[in]	tol	Relative error tolerance.
[in]	onfly	Whether not to store dense blocks.

Returns

Error code STARSH_ERRNO.

starsh_blrm__dsdd_omp()

int starsh_blrm__dsdd_omp	(	STARSH_blrm **	matrix,
		STARSH_blrf *	format,
		int	maxrank,
		double	tol,
		int	onfly
	)

Approximate each tile by divide-and-conquer SVD (GESDD function).

Parameters

[out]	matrix	Address of pointer to STARSH_blrm object.
[in]	format	Block low-rank format.
[in]	maxrank	Maximum possible rank.
[in]	tol	Relative error tolerance.
[in]	onfly	Whether not to store dense blocks.

starsh_blrm__dsdd_starpu()

int starsh_blrm__dsdd_starpu	(	STARSH_blrm **	matrix,
		STARSH_blrf *	format,
		int	maxrank,
		double	tol,
		int	onfly
	)

Approximate each tile by divide-and-conquer SVD (GESDD function).

Parameters

[out]	matrix	Address of pointer to STARSH_blrm object.
[in]	format	Block low-rank format.
[in]	maxrank	Maximum possible rank.
[in]	tol	Relative error tolerance.
[in]	onfly	Whether not to store dense blocks.

Returns

Error code STARSH_ERRNO.