KryPminres.c File Reference

Krylov subspace methods – Preconditioned minimal residual. 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_pminres (dCSRmat *A, dvector *b, dvector *u, precond *pc, const REAL tol, const REAL abstol, const INT MaxIt, const SHORT StopType, const SHORT PrtLvl)
	A preconditioned minimal residual (Minres) method for solving Au=b. More...
INT	fasp_solver_dblc_pminres (dBLCmat *A, dvector *b, dvector *u, precond *pc, const REAL tol, const REAL abstol, const INT MaxIt, const SHORT StopType, const SHORT PrtLvl)
	A preconditioned minimal residual (Minres) method for solving Au=b. More...
INT	fasp_solver_dstr_pminres (dSTRmat *A, dvector *b, dvector *u, precond *pc, const REAL tol, const REAL abstol, const INT MaxIt, const SHORT StopType, const SHORT PrtLvl)
	A preconditioned minimal residual (Minres) method for solving Au=b. More...
INT	fasp_solver_pminres (mxv_matfree *mf, dvector *b, dvector *u, precond *pc, const REAL tol, const REAL abstol, const INT MaxIt, const SHORT StopType, const SHORT PrtLvl)
	A preconditioned minimal residual (Minres) method for solving Au=b. More...

Detailed Description

Krylov subspace methods – Preconditioned minimal residual.

Note

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

See KrySPminres.c for a safer version

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

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Copyright (C) 2012–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 KryPminres.c.

Function Documentation

fasp_solver_dblc_pminres()

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

A preconditioned minimal residual (Minres) method for solving Au=b.

Parameters

A	Pointer to dBLCmat: coefficient matrix
b	Pointer to dvector: right hand side
u	Pointer to dvector: unknowns
pc	Pointer to precond: structure of precondition
tol	Tolerance for relative residual
abstol	Tolerance for absolute residual
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

05/01/2012

Rewritten based on the original version by Xiaozhe Hu 05/24/2010 Modified by Chensong Zhang on 04/09/2013

Definition at line 470 of file KryPminres.c.

fasp_solver_dcsr_pminres()

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

A preconditioned minimal residual (Minres) method for solving Au=b.

Parameters

A	Pointer to dCSRmat: coefficient matrix
b	Pointer to dvector: right hand side
u	Pointer to dvector: unknowns
pc	Pointer to precond: structure of precondition
tol	Tolerance for relative residual
abstol	Tolerance for absolute residual
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

05/01/2012

Rewritten based on the original version by Shiquan Zhang 05/10/2010 Modified by Chensong Zhang on 04/09/2013

Definition at line 61 of file KryPminres.c.

fasp_solver_dstr_pminres()

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

A preconditioned minimal residual (Minres) method for solving Au=b.

Parameters

A	Pointer to dSTRmat: coefficient matrix
b	Pointer to dvector: right hand side
u	Pointer to dvector: unknowns
pc	Pointer to precond: structure of precondition
tol	Tolerance for relative residual
abstol	Tolerance for absolute residual
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

04/09/2013

Definition at line 876 of file KryPminres.c.

fasp_solver_pminres()

INT fasp_solver_pminres	(	mxv_matfree *	mf,
		dvector *	b,
		dvector *	u,
		precond *	pc,
		const REAL	tol,
		const REAL	abstol,
		const INT	MaxIt,
		const SHORT	StopType,
		const SHORT	PrtLvl
	)

A preconditioned minimal residual (Minres) method for solving Au=b.

Parameters

mf	Pointer to mxv_matfree: spmv operation
b	Pointer to dvector: right hand side
u	Pointer to dvector: unknowns
pc	Pointer to precond: structure of precondition
tol	Tolerance for relative residual
abstol	Tolerance for absolute residual
MaxIt	Maximal number of iterations
StopType	Stopping criteria type
PrtLvl	How much information to print out

Returns

Iteration number if converges; ERROR otherwise.

Author

Shiquan Zhang

Date

10/24/2010

Rewritten by Chensong Zhang on 05/01/2012

Definition at line 1283 of file KryPminres.c.