KrySPbcgs.c File Reference

Krylov subspace methods – Preconditioned BiCGstab with safety net. More...

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

Go to the source code of this file.

Functions
INT	fasp_solver_dcsr_spbcgs (const dCSRmat *A, const dvector *b, dvector *u, precond *pc, const REAL tol, const INT MaxIt, const SHORT StopType, const SHORT PrtLvl)
	Preconditioned BiCGstab method for solving Au=b with safety net. More...
INT	fasp_solver_dbsr_spbcgs (const dBSRmat *A, const dvector *b, dvector *u, precond *pc, const REAL tol, const INT MaxIt, const SHORT StopType, const SHORT PrtLvl)
	Preconditioned BiCGstab method for solving Au=b with safety net. More...
INT	fasp_solver_dblc_spbcgs (const dBLCmat *A, const dvector *b, dvector *u, precond *pc, const REAL tol, const INT MaxIt, const SHORT StopType, const SHORT PrtLvl)
	Preconditioned BiCGstab method for solving Au=b with safety net. More...
INT	fasp_solver_dstr_spbcgs (const dSTRmat *A, const dvector *b, dvector *u, precond *pc, const REAL tol, const INT MaxIt, const SHORT StopType, const SHORT PrtLvl)
	Preconditioned BiCGstab method for solving Au=b with safety net. More...

Detailed Description

Krylov subspace methods – Preconditioned BiCGstab with safety net.

Note

This file contains Level-3 (Kry) functions. It requires: AuxArray.c, AuxMemory.c, AuxMessage.c, AuxVector.c, BlaArray.c, BlaSpmvBLC.c, BlaSpmvBSR.c, BlaSpmvCSR.c, and BlaSpmvSTR.c

The ‘best’ iterative solution will be saved and used upon exit; See KryPbcgs.c for a version without safety net

Reference: Y. Saad 2003 Iterative methods for sparse linear systems (2nd Edition), SIAM

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Copyright (C) 2013–Present by the FASP team. All rights reserved.

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

TODO: Update this version with the new BiCGstab implementation! –Chensong TODO: Use one single function for all! –Chensong

Definition in file KrySPbcgs.c.

Function Documentation

fasp_solver_dblc_spbcgs()

INT fasp_solver_dblc_spbcgs	(	const dBLCmat *	A,
		const dvector *	b,
		dvector *	u,
		precond *	pc,
		const REAL	tol,
		const INT	MaxIt,
		const SHORT	StopType,
		const SHORT	PrtLvl
	)

Preconditioned BiCGstab method for solving Au=b with safety net.

Parameters

A	Pointer to dBLCmat: the coefficient matrix
b	Pointer to dvector: the right hand side
u	Pointer to dvector: the unknowns
pc	Pointer to the structure of precondition (precond)
tol	Tolerance for stopping
MaxIt	Maximal number of iterations
StopType	Stopping criteria type
PrtLvl	How much information to print out

Returns

Iteration number if converges; ERROR otherwise.

Author

Chensong Zhang

Date

03/31/2013

Definition at line 843 of file KrySPbcgs.c.

fasp_solver_dbsr_spbcgs()

INT fasp_solver_dbsr_spbcgs	(	const dBSRmat *	A,
		const dvector *	b,
		dvector *	u,
		precond *	pc,
		const REAL	tol,
		const INT	MaxIt,
		const SHORT	StopType,
		const SHORT	PrtLvl
	)

Preconditioned BiCGstab method for solving Au=b with safety net.

Parameters

A	Pointer to dBSRmat: the coefficient matrix
b	Pointer to dvector: the right hand side
u	Pointer to dvector: the unknowns
pc	Pointer to the structure of precondition (precond)
tol	Tolerance for stopping
MaxIt	Maximal number of iterations
StopType	Stopping criteria type
PrtLvl	How much information to print out

Returns

Iteration number if converges; ERROR otherwise.

Author

Chensong Zhang

Date

03/31/2013

Definition at line 452 of file KrySPbcgs.c.

fasp_solver_dcsr_spbcgs()

INT fasp_solver_dcsr_spbcgs	(	const dCSRmat *	A,
		const dvector *	b,
		dvector *	u,
		precond *	pc,
		const REAL	tol,
		const INT	MaxIt,
		const SHORT	StopType,
		const SHORT	PrtLvl
	)

Preconditioned BiCGstab method for solving Au=b with safety net.

Parameters

A	Pointer to dCSRmat: the coefficient matrix
b	Pointer to dvector: the right hand side
u	Pointer to dvector: the unknowns
pc	Pointer to the structure of precondition (precond)
tol	Tolerance for stopping
MaxIt	Maximal number of iterations
StopType	Stopping criteria type
PrtLvl	How much information to print out

Returns

Iteration number if converges; ERROR otherwise.

Author

Chensong Zhang

Date

03/31/2013

Definition at line 61 of file KrySPbcgs.c.

fasp_solver_dstr_spbcgs()

INT fasp_solver_dstr_spbcgs	(	const dSTRmat *	A,
		const dvector *	b,
		dvector *	u,
		precond *	pc,
		const REAL	tol,
		const INT	MaxIt,
		const SHORT	StopType,
		const SHORT	PrtLvl
	)

Preconditioned BiCGstab method for solving Au=b with safety net.

Parameters

A	Pointer to dSTRmat: the coefficient matrix
b	Pointer to dvector: the right hand side
u	Pointer to dvector: the unknowns
pc	Pointer to the structure of precondition (precond)
tol	Tolerance for stopping
MaxIt	Maximal number of iterations
StopType	Stopping criteria type
PrtLvl	How much information to print out

Returns

Iteration number if converges; ERROR otherwise.

Author

Chensong Zhang

Date

03/31/2013

Definition at line 1234 of file KrySPbcgs.c.