FDoubleEigen< N > Class Template Reference

Eigenvalues and eigenvectors for a real general matrix. More...

#include <FDoubleEigen.h>

Collaboration diagram for FDoubleEigen< N >:

Public Member Functions
	FDoubleEigen (const FMatrix< double, N, N > &M, bool vec=false)
	Constructor. More...
	FDoubleEigen ()
	FDoubleEigen (const FDoubleEigen &)
	~FDoubleEigen ()
FVector< std::complex< double > , N >	eigenValues () const
	Get eigenvalues. More...
FMatrix< std::complex< double > , N, N >	eigenVectors () const
	Get eigenvectors. More...
FMatrix< double, N, N >	packedEigenVectors () const
	Get eigenvectors. More...

Private Member Functions
void	operator= (const FDoubleEigen &)
void	elmtran (FMatrix< double, N, N > &, int low, int high, int index[N])
int	hqr (FMatrix< double, N, N > &, int low, int high)
int	hqr2 (FMatrix< double, N, N > &, int low, int high)
void	balbak (int low, int high, double scale[N])

Static Private Member Functions
static void	balance (FMatrix< double, N, N > &, int &low, int &high, double scale[N])
static void	exchange (FMatrix< double, N, N > &, int j, int m, int low, int high)
static void	elmhes (FMatrix< double, N, N > &, int low, int high, int index[N])

Private Attributes
FVector< std::complex< double > , N >	lambda
FMatrix< double, N, N >	vectors

Detailed Description

template<int N>
class FDoubleEigen< N >

Eigenvalues and eigenvectors for a real general matrix.

Definition at line 35 of file FDoubleEigen.h.

Constructor & Destructor Documentation

template<int N>

FDoubleEigen< N >::FDoubleEigen	(	const FMatrix< double, N, N > &	M,
		bool	vec = false
	)

Constructor.

Definition at line 136 of file FDoubleEigen.h.

References FDoubleEigen< N >::balance(), FDoubleEigen< N >::balbak(), FDoubleEigen< N >::elmhes(), FDoubleEigen< N >::elmtran(), FDoubleEigen< N >::hqr(), FDoubleEigen< N >::hqr2(), and FDoubleEigen< N >::vectors.

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template<int N>

FDoubleEigen< N >::FDoubleEigen

(

)

Definition at line 124 of file FDoubleEigen.h.

template<int N>

FDoubleEigen< N >::FDoubleEigen

(

const FDoubleEigen< N > &

M

)

Definition at line 130 of file FDoubleEigen.h.

template<int N>

FDoubleEigen< N >::~FDoubleEigen

(

)

Definition at line 178 of file FDoubleEigen.h.

Member Function Documentation

template<int N>

void FDoubleEigen< N >::balance ( FMatrix< double, N, N > &  copy, int &  low, int &  high, double  scale[N]  )

staticprivate

Definition at line 229 of file FDoubleEigen.h.

References abs(), and Physics::c.

Referenced by FDoubleEigen< N >::FDoubleEigen().

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template<int N>

void FDoubleEigen< N >::balbak ( int  low, int  high, double  scale[N]  )

private

Definition at line 351 of file FDoubleEigen.h.

Referenced by FDoubleEigen< N >::FDoubleEigen().

template<int N>

FVector< std::complex< double >, N > FDoubleEigen< N >::eigenValues

(

)

const

Get eigenvalues.

Definition at line 183 of file FDoubleEigen.h.

Referenced by DragtFinnNormalForm< N >::DragtFinnNormalForm(), DragtFinnMap< N >::factorBerzForestIrwin(), and FNormalForm< N >::FNormalForm().

template<int N>

FMatrix< std::complex< double >, N, N > FDoubleEigen< N >::eigenVectors

(

)

const

Get eigenvectors.

Definition at line 191 of file FDoubleEigen.h.

References imag(), and Attrib::Distribution::R.

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template<int N>

void FDoubleEigen< N >::elmhes ( FMatrix< double, N, N > &  copy, int  low, int  high, int  index[N]  )

staticprivate

Definition at line 394 of file FDoubleEigen.h.

References abs().

Referenced by FDoubleEigen< N >::FDoubleEigen().

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template<int N>

void FDoubleEigen< N >::elmtran ( FMatrix< double, N, N > &  copy, int  low, int  high, int  index[N]  )

private

Definition at line 454 of file FDoubleEigen.h.

Referenced by FDoubleEigen< N >::FDoubleEigen().

template<int N>

void FDoubleEigen< N >::exchange ( FMatrix< double, N, N > &  copy, int  j, int  m, int  low, int  high  )

staticprivate

Definition at line 500 of file FDoubleEigen.h.

template<int N>

int FDoubleEigen< N >::hqr ( FMatrix< double, N, N > &  h, int  low, int  high  )

private

Definition at line 510 of file FDoubleEigen.h.

References abs(), and sqrt().

Referenced by FDoubleEigen< N >::FDoubleEigen().

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template<int N>

int FDoubleEigen< N >::hqr2 ( FMatrix< double, N, N > &  h, int  low, int  high  )

private

Definition at line 703 of file FDoubleEigen.h.

References abs(), cdiv(), imag(), max(), real(), and sqrt().

Referenced by FDoubleEigen< N >::FDoubleEigen().

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template<int N>

void FDoubleEigen< N >::operator= ( const FDoubleEigen< N > &  )

private

template<int N>

FMatrix< double, N, N > FDoubleEigen< N >::packedEigenVectors

(

)

const

Get eigenvectors.

Definition at line 217 of file FDoubleEigen.h.

Referenced by DragtFinnNormalForm< N >::DragtFinnNormalForm(), DragtFinnMap< N >::factorBerzForestIrwin(), and FNormalForm< N >::FNormalForm().

Member Data Documentation

template<int N>

FVector<std::complex<double>, N> FDoubleEigen< N >::lambda

private

Definition at line 90 of file FDoubleEigen.h.

template<int N>

FMatrix<double, N, N> FDoubleEigen< N >::vectors

private

Definition at line 91 of file FDoubleEigen.h.

Referenced by FDoubleEigen< N >::FDoubleEigen().

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The documentation for this class was generated from the following file:

• src/Classic/FixedAlgebra/FDoubleEigen.h