OPAL (Object Oriented Parallel Accelerator Library) 2024.2
OPAL
FDoubleEigen< N > Class Template Reference

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

#include <FDoubleEigen.h>

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Public Member Functions

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

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

◆ FDoubleEigen() [1/3]

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 balance(), balbak(), elmhes(), elmtran(), hqr(), hqr2(), lambda, and vectors.

Referenced by FDoubleEigen(), and operator=().

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◆ FDoubleEigen() [2/3]

template<int N>
FDoubleEigen< N >::FDoubleEigen ( )

Definition at line 124 of file FDoubleEigen.h.

References lambda, and vectors.

◆ FDoubleEigen() [3/3]

template<int N>
FDoubleEigen< N >::FDoubleEigen ( const FDoubleEigen< N > & M)

Definition at line 130 of file FDoubleEigen.h.

References FDoubleEigen(), lambda, and vectors.

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◆ ~FDoubleEigen()

template<int N>
FDoubleEigen< N >::~FDoubleEigen ( )

Definition at line 178 of file FDoubleEigen.h.

Member Function Documentation

◆ balance()

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

Definition at line 228 of file FDoubleEigen.h.

References c, and exchange().

Referenced by FDoubleEigen().

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◆ balbak()

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

Definition at line 351 of file FDoubleEigen.h.

References vectors.

Referenced by FDoubleEigen().

◆ eigenValues()

template<int N>
FVector< std::complex< double >, N > FDoubleEigen< N >::eigenValues ( ) const

Get eigenvalues.

Definition at line 183 of file FDoubleEigen.h.

References lambda.

◆ eigenVectors()

template<int N>
FMatrix< std::complex< double >, N, N > FDoubleEigen< N >::eigenVectors ( ) const

Get eigenvectors.

Definition at line 191 of file FDoubleEigen.h.

References lambda, and vectors.

◆ elmhes()

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.

Referenced by FDoubleEigen().

◆ elmtran()

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.

References vectors.

Referenced by FDoubleEigen().

◆ exchange()

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.

Referenced by balance().

◆ hqr()

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 lambda.

Referenced by FDoubleEigen().

◆ hqr2()

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 cdiv(), lambda, and vectors.

Referenced by FDoubleEigen().

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◆ operator=()

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

References FDoubleEigen().

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◆ packedEigenVectors()

template<int N>
FMatrix< double, N, N > FDoubleEigen< N >::packedEigenVectors ( ) const

Get eigenvectors.

Definition at line 217 of file FDoubleEigen.h.

References vectors.

Member Data Documentation

◆ lambda

template<int N>
FVector<std::complex<double>, N> FDoubleEigen< N >::lambda
private

Definition at line 90 of file FDoubleEigen.h.

Referenced by eigenValues(), eigenVectors(), FDoubleEigen(), FDoubleEigen(), FDoubleEigen(), hqr(), and hqr2().

◆ vectors

template<int N>
FMatrix<double, N, N> FDoubleEigen< N >::vectors
private

Definition at line 91 of file FDoubleEigen.h.

Referenced by balbak(), eigenVectors(), elmtran(), FDoubleEigen(), FDoubleEigen(), FDoubleEigen(), hqr2(), and packedEigenVectors().

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