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/***************************************************************************
* gmres.cpp The GMRES iterative algorithm for solving large scale
* sparse or band-limited linear systems
*
* references:
* [1] Youcef Saad and Martin H. Schultz, "GMRES: a generalized minimal
* residual algorithm for solving nonsymmetric linear systems",
* SIAM J. Sci. Stat. Comput., Vol. 7, No. 3, July 1986, pp. 856--869
* [2] http://netlib2.cs.utk.edu/linalg/html_templates/Templates.html
* [3] http://www.netlib.org/utk/papers/templates/node29.html
*
* Also check http://www.netlib.org/utk/papers/iterative-survey/
*
*
* Copyright (C) 2000-2006 Idesbald van den Bosch <vandenbosch.mailinglist@gmail.com>
*
* This program is free software; you can redistribute it and/or
* modify it under the terms of the GNU General Public License
* as published by the Free Software Foundation; either version 2
* of the License, or (at your option) any later version.
*
* This program is distributed in the hope that it will be useful,
* but WITHOUT ANY WARRANTY; without even the implied warranty of
* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
* GNU General Public License for more details.
*
* Suggestions: vandenbosch.mailinglist@gmail.com
* Bugs: vandenbosch.mailinglist@gmail.com
*
* For more information, please see the ... Home Page:
*
****************************************************************************/
using namespace blitz;
void gmres(blitz::Array<complex<double>, 1>& x, // OUTPUT: converged solution
double & error, // OUTPUT: the error
int & iter, // OUTPUT: number of iterations needed
int & flag, // OUTPUT: success flag: 0 if OK
const blitz::Array<complex<double>, 2>& A, // INPUT: complex matrix
const blitz::Array<complex<double>, 1>& b, // INPUT: right-hand side
const double tol, // INPUT: tolerance on solution
const int RESTRT, // INPUT: restart number
const int MAXITER); // INPUT: max number of iterations
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