SolBSR.c File Reference

Iterative solvers for dBSRmat matrices. More...

#include <time.h>
#include "fasp.h"
#include "fasp_functs.h"
#include "KryUtil.inl"

Go to the source code of this file.

Functions
INT	fasp_solver_dbsr_itsolver (dBSRmat *A, dvector *b, dvector *x, precond *pc, ITS_param *itparam)
	Solve Ax=b by preconditioned Krylov methods for BSR matrices. More...
INT	fasp_solver_dbsr_krylov (dBSRmat *A, dvector *b, dvector *x, ITS_param *itparam)
	Solve Ax=b by standard Krylov methods for BSR matrices. More...
INT	fasp_solver_dbsr_krylov_diag (dBSRmat *A, dvector *b, dvector *x, ITS_param *itparam)
	Solve Ax=b by diagonal preconditioned Krylov methods. More...
INT	fasp_solver_dbsr_krylov_ilu (dBSRmat *A, dvector *b, dvector *x, ITS_param *itparam, ILU_param *iluparam)
	Solve Ax=b by ILUs preconditioned Krylov methods. More...
INT	fasp_solver_dbsr_krylov_amg (dBSRmat *A, dvector *b, dvector *x, ITS_param *itparam, AMG_param *amgparam)
	Solve Ax=b by AMG preconditioned Krylov methods. More...
INT	fasp_solver_dbsr_krylov_amg_nk (dBSRmat *A, dvector *b, dvector *x, ITS_param *itparam, AMG_param *amgparam, dCSRmat *A_nk, dCSRmat *P_nk, dCSRmat *R_nk)
	Solve Ax=b by AMG with extra near kernel solve preconditioned Krylov methods. More...
INT	fasp_solver_dbsr_krylov_nk_amg (dBSRmat *A, dvector *b, dvector *x, ITS_param *itparam, AMG_param *amgparam, const INT nk_dim, dvector *nk)
	Solve Ax=b by AMG preconditioned Krylov methods with extra kernal space. More...

Detailed Description

Iterative solvers for dBSRmat matrices.

Note

This file contains Level-5 (Sol) functions. It requires: AuxMemory.c, AuxMessage.c, AuxThreads.c, AuxTiming.c, AuxVector.c, BlaSmallMatInv.c, BlaILUSetupBSR.c, BlaSparseBSR.c, BlaSparseCheck.c, KryPbcgs.c, KryPcg.c, KryPgmres.c, KryPvfgmres.c, KryPvgmres.c, PreAMGSetupSA.c, PreAMGSetupUA.c, PreBSR.c, and PreDataInit.c

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Copyright (C) 2009–Present by the FASP team. All rights reserved.

Released under the terms of the GNU Lesser General Public License 3.0 or later.

Definition in file SolBSR.c.

Function Documentation

fasp_solver_dbsr_itsolver()

INT fasp_solver_dbsr_itsolver	(	dBSRmat *	A,
		dvector *	b,
		dvector *	x,
		precond *	pc,
		ITS_param *	itparam
	)

Solve Ax=b by preconditioned Krylov methods for BSR matrices.

Parameters

A	Pointer to the coeff matrix in dBSRmat format
b	Pointer to the right hand side in dvector format
x	Pointer to the approx solution in dvector format
pc	Pointer to the preconditioning action
itparam	Pointer to parameters for iterative solvers

Returns

Iteration number if converges; ERROR otherwise.

Author

Zhiyang Zhou, Xiaozhe Hu

Date

10/26/2010

Modified by Chunsheng Feng on 03/04/2016: add VBiCGstab solver

Definition at line 55 of file SolBSR.c.

fasp_solver_dbsr_krylov()

INT fasp_solver_dbsr_krylov	(	dBSRmat *	A,
		dvector *	b,
		dvector *	x,
		ITS_param *	itparam
	)

Solve Ax=b by standard Krylov methods for BSR matrices.

Parameters

A	Pointer to the coeff matrix in dBSRmat format
b	Pointer to the right hand side in dvector format
x	Pointer to the approx solution in dvector format
itparam	Pointer to parameters for iterative solvers

Returns

Iteration number if converges; ERROR otherwise.

Author

Zhiyang Zhou, Xiaozhe Hu

Date

10/26/2010

Definition at line 141 of file SolBSR.c.

fasp_solver_dbsr_krylov_amg()

INT fasp_solver_dbsr_krylov_amg	(	dBSRmat *	A,
		dvector *	b,
		dvector *	x,
		ITS_param *	itparam,
		AMG_param *	amgparam
	)

Solve Ax=b by AMG preconditioned Krylov methods.

Parameters

A	Pointer to the coeff matrix in dBSRmat format
b	Pointer to the right hand side in dvector format
x	Pointer to the approx solution in dvector format
itparam	Pointer to parameters for iterative solvers
amgparam	Pointer to parameters of AMG

Returns

Iteration number if converges; ERROR otherwise.

Author

Xiaozhe Hu

Date

03/16/2012

parameters of iterative method

Definition at line 349 of file SolBSR.c.

fasp_solver_dbsr_krylov_amg_nk()

INT fasp_solver_dbsr_krylov_amg_nk	(	dBSRmat *	A,
		dvector *	b,
		dvector *	x,
		ITS_param *	itparam,
		AMG_param *	amgparam,
		dCSRmat *	A_nk,
		dCSRmat *	P_nk,
		dCSRmat *	R_nk
	)

Solve Ax=b by AMG with extra near kernel solve preconditioned Krylov methods.

Parameters

A	Pointer to the coeff matrix in dBSRmat format
b	Pointer to the right hand side in dvector format
x	Pointer to the approx solution in dvector format
itparam	Pointer to parameters for iterative solvers
amgparam	Pointer to parameters of AMG
A_nk	Pointer to the coeff matrix for near kernel space in dBSRmat format
P_nk	Pointer to the prolongation for near kernel space in dBSRmat format
R_nk	Pointer to the restriction for near kernel space in dBSRmat format

Returns

Iteration number if converges; ERROR otherwise.

Author

Xiaozhe Hu

Date

05/26/2012

Definition at line 476 of file SolBSR.c.

fasp_solver_dbsr_krylov_diag()

INT fasp_solver_dbsr_krylov_diag	(	dBSRmat *	A,
		dvector *	b,
		dvector *	x,
		ITS_param *	itparam
	)

Solve Ax=b by diagonal preconditioned Krylov methods.

Parameters

A	Pointer to the coeff matrix in dBSRmat format
b	Pointer to the right hand side in dvector format
x	Pointer to the approx solution in dvector format
itparam	Pointer to parameters for iterative solvers

Returns

Iteration number if converges; ERROR otherwise.

Author

Zhiyang Zhou, Xiaozhe Hu

Date

10/26/2010

Modified by Chunsheng Feng, Zheng Li on 10/15/2012

Definition at line 186 of file SolBSR.c.

fasp_solver_dbsr_krylov_ilu()

INT fasp_solver_dbsr_krylov_ilu	(	dBSRmat *	A,
		dvector *	b,
		dvector *	x,
		ITS_param *	itparam,
		ILU_param *	iluparam
	)

Solve Ax=b by ILUs preconditioned Krylov methods.

Parameters

A	Pointer to the coeff matrix in dBSRmat format
b	Pointer to the right hand side in dvector format
x	Pointer to the approx solution in dvector format
itparam	Pointer to parameters for iterative solvers
iluparam	Pointer to parameters of ILU

Returns

Iteration number if converges; ERROR otherwise.

Author

Shiquang Zhang, Xiaozhe Hu

Date

10/26/2010

Definition at line 286 of file SolBSR.c.

fasp_solver_dbsr_krylov_nk_amg()

INT fasp_solver_dbsr_krylov_nk_amg	(	dBSRmat *	A,
		dvector *	b,
		dvector *	x,
		ITS_param *	itparam,
		AMG_param *	amgparam,
		const INT	nk_dim,
		dvector *	nk
	)

Solve Ax=b by AMG preconditioned Krylov methods with extra kernal space.

Parameters

A	Pointer to the coeff matrix in dBSRmat format
b	Pointer to the right hand side in dvector format
x	Pointer to the approx solution in dvector format
itparam	Pointer to parameters for iterative solvers
amgparam	Pointer to parameters of AMG
nk_dim	Dimension of the near kernel spaces
nk	Pointer to the near kernal spaces

Returns

Iteration number if converges; ERROR otherwise.

Author

Xiaozhe Hu

Date

05/27/2012

parameters of iterative method

Definition at line 634 of file SolBSR.c.