ITHACAregularization.H

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/*---------------------------------------------------------------------------*\
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 * In real Time Highly Advanced Computational Applications for Finite Volumes
 * Copyright (C) 2017 by the ITHACA-FV authors
-------------------------------------------------------------------------------
License
    This file is part of ITHACA-FV
    ITHACA-FV is free software: you can redistribute it and/or modify
    it under the terms of the GNU Lesser General Public License as published by
    the Free Software Foundation, either version 3 of the License, or
    (at your option) any later version.
    ITHACA-FV 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 Lesser General Public License for more details.
    You should have received a copy of the GNU Lesser General Public License
    along with ITHACA-FV. If not, see <http://www.gnu.org/licenses/>.
Class
    ITHACAregularization
Description
    Methods for regularizing ill-conditione linear systems
SourceFiles
    ITHACAregularization.C
    ITHACAregularizationTemplates.C
\*---------------------------------------------------------------------------*/
 
 
#ifndef ITHACAregularization_H
#define ITHACAregularization_H
 
#include "fvCFD.H"
#include "IOmanip.H"
#include <stdio.h>
#include <sys/types.h>
#include <dirent.h>
#include <algorithm>
#include <fstream>
#include <string>
#include <stdexcept>
#include <sstream>
#include <vector>
#include <cstdio>
#include <typeinfo>
#include <iostream>
#include <cassert>
#include <zlib.h>
#include <map>
#pragma GCC diagnostic push
#pragma GCC diagnostic ignored "-Wold-style-cast"
#pragma GCC diagnostic ignored "-Wignored-attributes"
#include <Eigen/Eigen>
#include "EigenFunctions.H"
#include "ITHACAutilities.H"
 
 
#include <unsupported/Eigen/CXX11/Tensor>
#pragma GCC diagnostic pop
 
#define MAXBUFSIZE (static_cast<int> (1e6))
#define PBSTR "||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||"
#define PBWIDTH 60
 
 
// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
 
 
/*---------------------------------------------------------------------------*\
                        Class reductionProblem Declaration
\*---------------------------------------------------------------------------*/
#pragma GCC diagnostic push
#pragma GCC diagnostic ignored "-Wold-style-cast"
#pragma GCC diagnostic pop
 
namespace ITHACAregularization
{
 
//--------------------------------------------------------------------------
Eigen::VectorXd  TSVD(Eigen::MatrixXd A, Eigen::MatrixXd b,
                      int filter);
 
//--------------------------------------------------------------------------
Eigen::VectorXd  TSVD(Eigen::MatrixXd A, Eigen::MatrixXd b,
                      double noiseVariance, word parameterMethod);
 
//--------------------------------------------------------------------------
Eigen::VectorXd  Tikhonov(Eigen::MatrixXd A, Eigen::MatrixXd b,
                          double regularizationParameter);
 
};
 
 
 
// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
 
 
 
#endif