KrySPminres.c File Reference

Krylov subspace methods – Preconditioned MINRES 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_spminres (const dCSRmat *A, const dvector *b, dvector *u, precond *pc, const REAL tol, const INT MaxIt, const SHORT StopType, const SHORT PrtLvl)
	A preconditioned minimal residual (Minres) method for solving Au=b with safety net. More...
INT	fasp_solver_dblc_spminres (const dBLCmat *A, const dvector *b, dvector *u, precond *pc, const REAL tol, const INT MaxIt, const SHORT StopType, const SHORT PrtLvl)
	A preconditioned minimal residual (Minres) method for solving Au=b with safety net. More...
INT	fasp_solver_dstr_spminres (const dSTRmat *A, const dvector *b, dvector *u, precond *pc, const REAL tol, const INT MaxIt, const SHORT StopType, const SHORT PrtLvl)
	A preconditioned minimal residual (Minres) method for solving Au=b with safety net. More...

Detailed Description

Krylov subspace methods – Preconditioned MINRES 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, BlaSpmvCSR.c, and BlaSpmvSTR.c

The ‘best’ iterative solution will be saved and used upon exit; See KryPminres.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: Use one single function for all! –Chensong

Definition in file KrySPminres.c.

Function Documentation

fasp_solver_dblc_spminres()

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

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

Parameters

A	Pointer to dBLCmat: coefficient matrix
b	Pointer to dvector: right hand side
u	Pointer to dvector: unknowns
pc	Pointer to 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

04/09/2013

Definition at line 511 of file KrySPminres.c.

fasp_solver_dcsr_spminres()

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

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

Parameters

A	Pointer to dCSRmat: coefficient matrix
b	Pointer to dvector: right hand side
u	Pointer to dvector: unknowns
pc	Pointer to 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

04/09/2013

Definition at line 60 of file KrySPminres.c.

fasp_solver_dstr_spminres()

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

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

Parameters

A	Pointer to dSTRmat: coefficient matrix
b	Pointer to dvector: right hand side
u	Pointer to dvector: unknowns
MaxIt	Maximal number of iterations
tol	Tolerance for stopping
pc	Pointer to structure of precondition (precond)
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 962 of file KrySPminres.c.