/usr/include/deal.II/lac/shifted_matrix.h is in libdeal.ii-dev 8.4.2-2+b1.
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//
// Copyright (C) 2001 - 2015 by the deal.II authors
//
// This file is part of the deal.II library.
//
// The deal.II library is free software; you can use it, 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 2.1 of the License, or (at your option) any later version.
// The full text of the license can be found in the file LICENSE at
// the top level of the deal.II distribution.
//
// ---------------------------------------------------------------------
#ifndef dealii__shifted_matrix_h
#define dealii__shifted_matrix_h
#include <deal.II/base/config.h>
#include <deal.II/base/smartpointer.h>
DEAL_II_NAMESPACE_OPEN
/*! @addtogroup Matrix2
*@{
*/
/**
* Matrix with shifted diagonal values.
*
* Given a matrix <tt>A</tt>, this class implements a matrix-vector product
* with <i>A+s I</i>, where <i>s</i> is a provided shift parameter.
*
* @deprecated If deal.II was configured with C++11 support, use the
* LinearOperator class instead, see the module on
* @ref LAOperators "linear operators"
* for further details.
*
* @author Guido Kanschat, 2000, 2001
*/
template<typename MatrixType>
class ShiftedMatrix
{
public:
/**
* Constructor. Provide the base matrix and a shift parameter.
*/
ShiftedMatrix (const MatrixType &A, const double sigma);
/**
* Set the shift parameter.
*/
void shift (const double sigma);
/**
* Access to the shift parameter.
*/
double shift () const;
/**
* Matrix-vector-product.
*/
template <typename VectorType>
void vmult (VectorType &dst, const VectorType &src) const;
/**
* Residual.
*/
template <typename VectorType>
double residual (VectorType &dst, const VectorType &src, const VectorType &rhs) const;
private:
/**
* Storage for base matrix.
*/
SmartPointer<const MatrixType,ShiftedMatrix<MatrixType> > A;
/**
* Auxiliary vector.
*/
// VectorType aux;
/**
* Shift parameter.
*/
double sigma;
};
/**
* Matrix with shifted diagonal values with respect to a certain scalar
* product.
*
* Given a matrix <tt>A</tt>, this class implements a matrix-vector product
* with <i>A+s M</i>, where <i>s</i> is a provided shift parameter and
* <tt>M</tt> is the matrix representing the identity
*
* @deprecated If deal.II was configured with C++11 support, use the
* LinearOperator class instead, see the module on
* @ref LAOperators "linear operators"
* for further details.
*
* @author Guido Kanschat, 2001
*/
template<typename MatrixType, class MatrixType2, class VectorType>
class ShiftedMatrixGeneralized
{
public:
/**
* Constructor. Provide the base matrix and a shift parameter.
*/
ShiftedMatrixGeneralized (const MatrixType &A,
const MatrixType2 &M,
const double sigma);
/**
* Set the shift parameter.
*/
void shift (const double sigma);
/**
* Access to the shift parameter.
*/
double shift () const;
/**
* Matrix-vector-product.
*/
void vmult (VectorType &dst, const VectorType &src) const;
/**
* Residual.
*/
double residual (VectorType &dst, const VectorType &src, const VectorType &rhs) const;
private:
/**
* Storage for base matrix.
*/
SmartPointer<const MatrixType,ShiftedMatrixGeneralized<MatrixType,MatrixType2,VectorType> > A;
/**
* Storage for mass matrix.
*/
SmartPointer<const MatrixType2,ShiftedMatrixGeneralized<MatrixType,MatrixType2,VectorType> > M;
/**
* Auxiliary vector.
*/
mutable VectorType aux;
/**
* Shift parameter.
*/
double sigma;
};
/*@}*/
//---------------------------------------------------------------------------
template <typename MatrixType>
inline
ShiftedMatrix<MatrixType>::ShiftedMatrix (const MatrixType &A,
const double sigma)
:
A(&A), sigma(sigma)
{}
template <typename MatrixType>
inline void
ShiftedMatrix<MatrixType>::shift (const double s)
{
sigma = s;
}
template <typename MatrixType>
inline double
ShiftedMatrix<MatrixType>::shift () const
{
return sigma;
}
template <typename MatrixType>
template <class VectorType>
inline void
ShiftedMatrix<MatrixType>::vmult (VectorType &dst, const VectorType &src) const
{
A->vmult(dst, src);
if (sigma != 0.)
dst.add(sigma, src);
}
template <typename MatrixType>
template <class VectorType>
inline double
ShiftedMatrix<MatrixType>::residual (VectorType &dst,
const VectorType &src,
const VectorType &rhs) const
{
A->vmult(dst, src);
if (sigma != 0.)
dst.add(sigma, src);
dst.sadd(-1.,1.,rhs);
return dst.l2_norm ();
}
//---------------------------------------------------------------------------
template <typename MatrixType, class MatrixType2, class VectorType>
inline
ShiftedMatrixGeneralized<MatrixType, MatrixType2, VectorType>
::ShiftedMatrixGeneralized (const MatrixType &A,
const MatrixType2 &M,
const double sigma)
:
A(&A), M(&M), sigma(sigma)
{}
template <typename MatrixType, class MatrixType2, class VectorType>
inline void
ShiftedMatrixGeneralized<MatrixType, MatrixType2, VectorType>::shift (const double s)
{
sigma = s;
}
template <typename MatrixType, class MatrixType2, class VectorType>
inline double
ShiftedMatrixGeneralized<MatrixType, MatrixType2, VectorType>::shift () const
{
return sigma;
}
template <typename MatrixType, class MatrixType2, class VectorType>
inline void
ShiftedMatrixGeneralized<MatrixType, MatrixType2, VectorType>::vmult
(VectorType &dst,
const VectorType &src) const
{
A->vmult(dst, src);
if (sigma != 0.)
{
aux.reinit(dst);
M->vmult(aux, src);
dst.add(sigma, aux);
}
}
template <typename MatrixType, class MatrixType2, class VectorType>
inline double
ShiftedMatrixGeneralized<MatrixType, MatrixType2, VectorType>::residual
(VectorType &dst,
const VectorType &src,
const VectorType &rhs) const
{
A->vmult(dst, src);
if (sigma != 0.)
{
aux.reinit(dst);
M->vmult(aux, src);
dst.add(sigma, aux);
}
dst.sadd(-1.,1.,rhs);
return dst.l2_norm ();
}
DEAL_II_NAMESPACE_CLOSE
#endif
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