fmatrixev.hh File Reference

Eigenvalue computations for the FieldMatrix class. More...

#include <algorithm>
#include <iostream>
#include <cmath>
#include <cassert>
#include <dune/common/exceptions.hh>
#include <dune/common/fvector.hh>
#include <dune/common/fmatrix.hh>
#include <dune/common/math.hh>

Go to the source code of this file.

Namespaces
	Dune
	Dune namespace.

Functions
template<int dim, typename K >
static void	Dune::FMatrixHelp::eigenValues (const FieldMatrix< K, dim, dim > &matrix, FieldVector< K, dim > &eigenValues)
	calculates the eigenvalues of a symmetric field matrix More...
template<int dim, typename K >
static void	Dune::FMatrixHelp::eigenValuesVectors (const FieldMatrix< K, dim, dim > &matrix, FieldVector< K, dim > &eigenValues, FieldMatrix< K, dim, dim > &eigenVectors)
	calculates the eigenvalues and eigenvectors of a symmetric field matrix More...
template<int dim, typename K >
static void	Dune::FMatrixHelp::eigenValuesLapack (const FieldMatrix< K, dim, dim > &matrix, FieldVector< K, dim > &eigenValues)
	calculates the eigenvalues of a symmetric field matrix More...
template<int dim, typename K >
static void	Dune::FMatrixHelp::eigenValuesVectorsLapack (const FieldMatrix< K, dim, dim > &matrix, FieldVector< K, dim > &eigenValues, FieldMatrix< K, dim, dim > &eigenVectors)
	calculates the eigenvalues and -vectors of a symmetric field matrix More...
template<int dim, typename K , class C >
static void	Dune::FMatrixHelp::eigenValuesNonSym (const FieldMatrix< K, dim, dim > &matrix, FieldVector< C, dim > &eigenValues)
	calculates the eigenvalues of a non-symmetric field matrix More...

Detailed Description

Eigenvalue computations for the FieldMatrix class.

Function Documentation

eigenValues()

template<int dim, typename K >

static void Dune::FMatrixHelp::eigenValues ( const FieldMatrix< K, dim, dim > &  matrix, FieldVector< K, dim > &  eigenValues  )

static

calculates the eigenvalues of a symmetric field matrix

Parameters

[in]	matrix	matrix eigenvalues are calculated for
[out]	eigenValues	FieldVector that contains eigenvalues in ascending order

Note

specializations for dim=1,2,3 exist, for dim>3 LAPACK::dsyev is used

References Dune::FMatrixHelp::eigenValues().

Referenced by Dune::FMatrixHelp::eigenValues(), Dune::FMatrixHelp::eigenValuesLapack(), Dune::FMatrixHelp::eigenValuesVectors(), and Dune::FMatrixHelp::eigenValuesVectorsLapack().

eigenValuesLapack()

template<int dim, typename K >

static void Dune::FMatrixHelp::eigenValuesLapack ( const FieldMatrix< K, dim, dim > &  matrix, FieldVector< K, dim > &  eigenValues  )

static

calculates the eigenvalues of a symmetric field matrix

Parameters

[in]	matrix	matrix eigenvalues are calculated for
[out]	eigenValues	FieldVector that contains eigenvalues in ascending order

Note

LAPACK::dsyev is used to calculate the eigenvalues

References Dune::FMatrixHelp::eigenValues(), and Dune::FMatrixHelp::eigenValuesLapack().

Referenced by Dune::FMatrixHelp::eigenValuesLapack().

eigenValuesNonSym()

template<int dim, typename K , class C >

static void Dune::FMatrixHelp::eigenValuesNonSym ( const FieldMatrix< K, dim, dim > &  matrix, FieldVector< C, dim > &  eigenValues  )

static

calculates the eigenvalues of a non-symmetric field matrix

Parameters

[in]	matrix	matrix eigenvalues are calculated for
[out]	eigenValues	FieldVector that contains eigenvalues in ascending order

Note

LAPACK::dgeev is used to calculate the eigenvalues

References Dune::FMatrixHelp::eigenValuesNonSym().

Referenced by Dune::FMatrixHelp::eigenValuesNonSym().

eigenValuesVectors()

template<int dim, typename K >

static void Dune::FMatrixHelp::eigenValuesVectors ( const FieldMatrix< K, dim, dim > &  matrix, FieldVector< K, dim > &  eigenValues, FieldMatrix< K, dim, dim > &  eigenVectors  )

static

calculates the eigenvalues and eigenvectors of a symmetric field matrix

Parameters

[in]	matrix	matrix eigenvalues are calculated for
[out]	eigenValues	FieldVector that contains eigenvalues in ascending order
[out]	eigenVectors	FieldMatrix that contains the eigenvectors

Note

specializations for dim=1,2,3 exist, for dim>3 LAPACK::dsyev is used

References Dune::FMatrixHelp::eigenValues(), and Dune::FMatrixHelp::eigenValuesVectors().

Referenced by Dune::FMatrixHelp::eigenValuesVectors().

eigenValuesVectorsLapack()

template<int dim, typename K >

static void Dune::FMatrixHelp::eigenValuesVectorsLapack ( const FieldMatrix< K, dim, dim > &  matrix, FieldVector< K, dim > &  eigenValues, FieldMatrix< K, dim, dim > &  eigenVectors  )

static

calculates the eigenvalues and -vectors of a symmetric field matrix

Parameters

[in]	matrix	matrix eigenvalues are calculated for
[out]	eigenValues	FieldVector that contains eigenvalues in ascending order
[out]	eigenVectors	FieldMatrix that contains the eigenvectors

Note

LAPACK::dsyev is used to calculate the eigenvalues and -vectors

References Dune::FMatrixHelp::eigenValues(), and Dune::FMatrixHelp::eigenValuesVectorsLapack().

Referenced by Dune::FMatrixHelp::eigenValuesVectorsLapack().