Krylov subspace methods – Preconditioned generalized CG. More...

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

Functions
INT	fasp_solver_dcsr_pgcg (dCSRmat A, dvector b, dvector u, precond pc, const REAL tol, const REAL abstol, const INT MaxIt, const SHORT StopType, const SHORT PrtLvl)
	Preconditioned generilzed conjugate gradient (GCG) method for solving Au=b. More...

INT	fasp_solver_pgcg (mxv_matfree mf, dvector b, dvector u, precond pc, const REAL tol, const REAL abstol, const INT MaxIt, const SHORT StopType, const SHORT PrtLvl)
	Preconditioned generilzed conjugate gradient (GCG) method for solving Au=b. More...

Detailed Description

Krylov subspace methods – Preconditioned generalized CG.

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

Reference: Concus, P. and Golub, G.H. and O'Leary, D.P. A Generalized Conjugate Gradient Method for the Numerical: Solution of Elliptic Partial Differential Equations, Computer Science Department, Stanford University, 1976

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

TODO: Not completely implemented yet! –Chensong

Definition in file KryPgcg.c.

Function Documentation

◆ fasp_solver_dcsr_pgcg()

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

Preconditioned generilzed conjugate gradient (GCG) 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: Xiaozhe Hu

Date: 01/01/2012

Modified by Chensong Zhang on 05/01/2012

Definition at line 60 of file KryPgcg.c.

◆ fasp_solver_pgcg()

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