core_zpxtrfsp.c File Reference

#include "common.h"
#include "cblas.h"
#include "blend/solver.h"
#include "pastix_zcores.h"
#include "kernels_trace.h"

Go to the source code of this file.

Functions
static void	core_zpxtf2sp (pastix_int_t n, pastix_complex64_t *A, pastix_int_t lda, pastix_int_t *nbpivots, double criterion)
	Compute the sequential static pivoting LL^t factorization of the matrix n-by-n A = L * L^t . More...
void	core_zpxtrfsp (pastix_int_t n, pastix_complex64_t *A, pastix_int_t lda, pastix_int_t *nbpivots, double criterion)
	Compute the block static pivoting LL^t factorization of the matrix n-by-n A = L * L^t . More...
int	cpucblk_zpxtrfsp1d_pxtrf (SolverMatrix *solvmtx, SolverCblk *cblk, void *dataL)
	Compute the LL^t factorization of the diagonal block in a panel. More...
int	cpucblk_zpxtrfsp1d_panel (SolverMatrix *solvmtx, SolverCblk *cblk, void *L)
	Compute the LL^t factorization of one panel. More...
int	cpucblk_zpxtrfsp1d (SolverMatrix *solvmtx, SolverCblk *cblk, pastix_complex64_t *work, pastix_int_t lwork)
	Perform the LL^t factorization of a given panel and apply all its updates. More...

Detailed Description

PaStiX kernel routines for LL^t factorization.

Copyright

2011-2023 Bordeaux INP, CNRS (LaBRI UMR 5800), Inria, Univ. Bordeaux. All rights reserved.

Version

6.3.0

Author

Mathieu Faverge

Pierre Ramet

Xavier Lacoste

Date

2023-01-13

Generated arithmetic file

from /builds/solverstack/pastix/kernels/core_zpxtrfsp.c, normal z -> z, Mon Aug 28 13:40:37 2023

Definition in file core_zpxtrfsp.c.

Function Documentation

core_zpxtf2sp()

static void core_zpxtf2sp ( pastix_int_t  n, pastix_complex64_t *  A, pastix_int_t  lda, pastix_int_t *  nbpivots, double  criterion  )

inlinestatic

Compute the sequential static pivoting LL^t factorization of the matrix n-by-n A = L * L^t .

Parameters

[in]	n	The number of rows and columns of the matrix A.
[in,out]	A	The matrix A to factorize with LL^t factorization. The matrix is of size lda -by- n.
[in]	lda	The leading dimension of the matrix A.
[in,out]	nbpivots	Pointer to the number of piovting operations made during factorization. It is updated during this call
[in]	criterion	Threshold use for static pivoting. If diagonal value is under this threshold, its value is replaced by the threshold and the number of pivots is incremented.

Warning

This routine will fail if it discovers a null or negative value on the diagonal during factorization.

Definition at line 66 of file core_zpxtrfsp.c.

Referenced by core_zpxtrfsp().

cpucblk_zpxtrfsp1d_pxtrf()

int cpucblk_zpxtrfsp1d_pxtrf	(	SolverMatrix *	solvmtx,
		SolverCblk *	cblk,
		void *	dataL
	)

Compute the LL^t factorization of the diagonal block in a panel.

Warning

This routine will fail if it discovers a null or negative value on the diagonal during factorization.

Parameters

[in]	solvmtx	Solver Matrix structure of the problem
[in]	cblk	Pointer to the structure representing the panel to factorize in the cblktab array. Next column blok must be accessible through cblk[1].
[in,out]	dataL	The pointer to the correct representation of the lower part the data. coeftab if the block is in full rank. Must be of size cblk.stride -by- cblk.width. pastix_lr_block if the block is compressed.

Returns

The number of static pivoting performed during the diagonal block factorization.

Definition at line 212 of file core_zpxtrfsp.c.

References solver_cblk_s::cblktype, core_zpxtrfsp(), solver_cblk_s::fblokptr, solver_cblk_s::fcolnum, solver_blok_s::frownum, solver_blok_s::inlast, solver_cblk_s::lcolnum, solver_blok_s::lrownum, pastix_lrblock_s::rk, pastix_lrblock_s::rkmax, solver_cblk_s::stride, and pastix_lrblock_s::u.

Referenced by cpucblk_zpxtrfsp1d_panel(), and fct_blok_zpxtrfsp_cpu().

cpucblk_zpxtrfsp1d_panel()

int cpucblk_zpxtrfsp1d_panel	(	SolverMatrix *	solvmtx,
		SolverCblk *	cblk,
		void *	L
	)

Compute the LL^t factorization of one panel.

Parameters

[in]	solvmtx	Solver Matrix structure of the problem
[in]	cblk	Pointer to the structure representing the panel to factorize in the cblktab array. Next column blok must be accessible through cblk[1].
[in,out]	L	The pointer to the correct representation of the lower part the data. coeftab if the block is in full rank. Must be of size cblk.stride -by- cblk.width. pastix_lr_block if the block is compressed.

Returns

The number of static pivoting during factorization of the diagonal block.

Definition at line 284 of file core_zpxtrfsp.c.

References cpucblk_zpxtrfsp1d_pxtrf(), cpucblk_ztrsmsp(), PastixLower, PastixNonUnit, PastixRight, and PastixTrans.

Referenced by cpucblk_zpxtrfsp1d().

cpucblk_zpxtrfsp1d()

int cpucblk_zpxtrfsp1d	(	SolverMatrix *	solvmtx,
		SolverCblk *	cblk,
		pastix_complex64_t *	work,
		pastix_int_t	lwork
	)

Perform the LL^t factorization of a given panel and apply all its updates.

Parameters

[in]	solvmtx	Solver Matrix structure of the problem
[in]	cblk	Pointer to the structure representing the panel to factorize in the cblktab array. Next column blok must be accessible through cblk[1].
[in]	work	Temporary memory buffer.
[in]	lwork	Temporary workspace dimension.

Returns

The number of static pivoting during factorization of the diagonal block.

Definition at line 326 of file core_zpxtrfsp.c.

References cblk_getdataL(), solver_cblk_s::cblktype, cpucblk_zalloc(), cpucblk_zgemmsp(), cpucblk_zpxtrfsp1d_panel(), cpucblk_zrelease_deps(), solver_cblk_s::fblokptr, solver_blok_s::fcblknm, PastixLCoef, and PastixTrans.

Referenced by sequential_zpxtrf(), thread_zpxtrf_dynamic(), and thread_zpxtrf_static().