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111 lines
4.0 KiB
111 lines
4.0 KiB
/* -*- c++ -*- (enables emacs c++ mode) */
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/*===========================================================================
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Copyright (C) 2002-2017 Yves Renard
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This file is a part of GetFEM++
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GetFEM++ is free software; you can redistribute it and/or modify it
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under the terms of the GNU Lesser General Public License as published
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by the Free Software Foundation; either version 3 of the License, or
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(at your option) any later version along with the GCC Runtime Library
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Exception either version 3.1 or (at your option) any later version.
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This program is distributed in the hope that it will be useful, but
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WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY
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or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public
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License and GCC Runtime Library Exception for more details.
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You should have received a copy of the GNU Lesser General Public License
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along with this program; if not, write to the Free Software Foundation,
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Inc., 51 Franklin St, Fifth Floor, Boston, MA 02110-1301, USA.
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As a special exception, you may use this file as it is a part of a free
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software library without restriction. Specifically, if other files
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instantiate templates or use macros or inline functions from this file,
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or you compile this file and link it with other files to produce an
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executable, this file does not by itself cause the resulting executable
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to be covered by the GNU Lesser General Public License. This exception
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does not however invalidate any other reasons why the executable file
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might be covered by the GNU Lesser General Public License.
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===========================================================================*/
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/**@file gmm_iter_solvers.h
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@author Yves Renard <Yves.Renard@insa-lyon.fr>
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@date October 13, 2002.
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@brief Include standard gmm iterative solvers (cg, gmres, ...)
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*/
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#ifndef GMM_ITER_SOLVERS_H__
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#define GMM_ITER_SOLVERS_H__
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#include "gmm_iter.h"
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namespace gmm {
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/** mixed method to find a zero of a real function G, a priori
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* between a and b. If the zero is not between a and b, iterations
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* of secant are applied. When a convenient interval is found,
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* iterations of dichotomie and regula falsi are applied.
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*/
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template <typename FUNC, typename T>
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T find_root(const FUNC &G, T a = T(0), T b = T(1),
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T tol = gmm::default_tol(T())) {
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T c, Ga = G(a), Gb = G(b), Gc, d;
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d = gmm::abs(b - a);
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#if 0
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for (int i = 0; i < 4; i++) { /* secant iterations. */
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if (d < tol) return (b + a) / 2.0;
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c = b - Gb * (b - a) / (Gb - Ga); Gc = G(c);
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a = b; b = c; Ga = Gb; Gb = Gc;
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d = gmm::abs(b - a);
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}
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#endif
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while (Ga * Gb > 0.0) { /* secant iterations. */
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if (d < tol) return (b + a) / 2.0;
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c = b - Gb * (b - a) / (Gb - Ga); Gc = G(c);
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a = b; b = c; Ga = Gb; Gb = Gc;
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d = gmm::abs(b - a);
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}
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c = std::max(a, b); a = std::min(a, b); b = c;
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while (d > tol) {
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c = b - (b - a) * (Gb / (Gb - Ga)); /* regula falsi. */
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if (c > b) c = b;
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if (c < a) c = a;
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Gc = G(c);
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if (Gc*Gb > 0) { b = c; Gb = Gc; } else { a = c; Ga = Gc; }
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c = (b + a) / 2.0 ; Gc = G(c); /* Dichotomie. */
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if (Gc*Gb > 0) { b = c; Gb = Gc; } else { a = c; Ga = Gc; }
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d = gmm::abs(b - a); c = (b + a) / 2.0; if ((c == a) || (c == b)) d = 0.0;
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}
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return (b + a) / 2.0;
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}
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}
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#include "gmm_precond_diagonal.h"
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#include "gmm_precond_ildlt.h"
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#include "gmm_precond_ildltt.h"
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#include "gmm_precond_mr_approx_inverse.h"
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#include "gmm_precond_ilu.h"
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#include "gmm_precond_ilut.h"
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#include "gmm_precond_ilutp.h"
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#include "gmm_solver_cg.h"
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#include "gmm_solver_bicgstab.h"
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#include "gmm_solver_qmr.h"
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#include "gmm_solver_constrained_cg.h"
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#include "gmm_solver_Schwarz_additive.h"
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#include "gmm_modified_gram_schmidt.h"
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#include "gmm_tri_solve.h"
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#include "gmm_solver_gmres.h"
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#include "gmm_solver_bfgs.h"
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#include "gmm_least_squares_cg.h"
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// #include "gmm_solver_idgmres.h"
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#endif // GMM_ITER_SOLVERS_H__
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