#include "EIG.h"

Collaboration diagram for EIG:

[legend]

Public Member Functions
	EIG (const ComplexMatrix &a, bool calc_rev=true, bool calc_lev=true, bool balance=true)

	EIG (const ComplexMatrix &a, const ComplexMatrix &b, bool calc_rev=true, bool calc_lev=true, bool force_qz=false)

	EIG (const ComplexMatrix &a, const ComplexMatrix &b, octave_idx_type &info, bool calc_rev=true, bool calc_lev=true, bool force_qz=false)

	EIG (const ComplexMatrix &a, octave_idx_type &info, bool calc_rev=true, bool calc_lev=true, bool balance=true)

	EIG (const EIG &a)

	EIG (const Matrix &a, bool calc_rev=true, bool calc_lev=true, bool balance=true)

	EIG (const Matrix &a, const Matrix &b, bool calc_rev=true, bool calc_lev=true, bool force_qz=false)

	EIG (const Matrix &a, const Matrix &b, octave_idx_type &info, bool calc_rev=true, bool calc_lev=true, bool force_qz=false)

	EIG (const Matrix &a, octave_idx_type &info, bool calc_rev=true, bool calc_lev=true, bool balance=true)

	EIG (void)

	~EIG (void)=default

ComplexColumnVector	eigenvalues (void) const

ComplexMatrix	left_eigenvectors (void) const

EIG &	operator= (const EIG &a)

ComplexMatrix	right_eigenvectors (void) const

Private Member Functions
octave_idx_type	hermitian_init (const ComplexMatrix &a, bool calc_rev, bool calc_lev)

octave_idx_type	hermitian_init (const ComplexMatrix &a, const ComplexMatrix &b, bool calc_rev, bool calc_lev)

octave_idx_type	init (const ComplexMatrix &a, bool calc_rev, bool calc_lev, bool balance)

octave_idx_type	init (const ComplexMatrix &a, const ComplexMatrix &b, bool calc_rev, bool calc_lev, bool force_qz)

octave_idx_type	init (const Matrix &a, bool calc_rev, bool calc_lev, bool balance)

octave_idx_type	init (const Matrix &a, const Matrix &b, bool calc_rev, bool calc_lev, bool force_qz)

octave_idx_type	symmetric_init (const Matrix &a, bool calc_rev, bool calc_lev)

octave_idx_type	symmetric_init (const Matrix &a, const Matrix &b, bool calc_rev, bool calc_lev)

Private Attributes
ComplexColumnVector	lambda

ComplexMatrix	v

ComplexMatrix	w

Friends
class	ComplexMatrix

class	Matrix

std::ostream &	operator<< (std::ostream &os, const EIG &a)

Detailed Description

Definition at line 38 of file EIG.h.

Constructor & Destructor Documentation

◆ EIG() [1/10]

EIG::EIG ( void )

inline

Definition at line 47 of file EIG.h.

◆ EIG() [2/10]

EIG::EIG	(	const Matrix &	a,
		bool	calc_rev = `true`,
		bool	calc_lev = `true`,
		bool	balance = `true`
	)

inline

Definition at line 49 of file EIG.h.

◆ EIG() [3/10]

EIG::EIG	(	const Matrix &	a,
		octave_idx_type &	info,
		bool	calc_rev = `true`,
		bool	calc_lev = `true`,
		bool	balance = `true`
	)

inline

Definition at line 56 of file EIG.h.

◆ EIG() [4/10]

EIG::EIG	(	const Matrix &	a,
		const Matrix &	b,
		bool	calc_rev = `true`,
		bool	calc_lev = `true`,
		bool	force_qz = `false`
	)

inline

Definition at line 63 of file EIG.h.

◆ EIG() [5/10]

EIG::EIG	(	const Matrix &	a,
		const Matrix &	b,
		octave_idx_type &	info,
		bool	calc_rev = `true`,
		bool	calc_lev = `true`,
		bool	force_qz = `false`
	)

inline

Definition at line 70 of file EIG.h.

◆ EIG() [6/10]

EIG::EIG	(	const ComplexMatrix &	a,
		bool	calc_rev = `true`,
		bool	calc_lev = `true`,
		bool	balance = `true`
	)

inline

Definition at line 77 of file EIG.h.

◆ EIG() [7/10]

EIG::EIG	(	const ComplexMatrix &	a,
		octave_idx_type &	info,
		bool	calc_rev = `true`,
		bool	calc_lev = `true`,
		bool	balance = `true`
	)

inline

Definition at line 84 of file EIG.h.

◆ EIG() [8/10]

EIG::EIG	(	const ComplexMatrix &	a,
		const ComplexMatrix &	b,
		bool	calc_rev = `true`,
		bool	calc_lev = `true`,
		bool	force_qz = `false`
	)

inline

Definition at line 91 of file EIG.h.

◆ EIG() [9/10]

EIG::EIG	(	const ComplexMatrix &	a,
		const ComplexMatrix &	b,
		octave_idx_type &	info,
		bool	calc_rev = `true`,
		bool	calc_lev = `true`,
		bool	force_qz = `false`
	)

inline

Definition at line 98 of file EIG.h.

◆ EIG() [10/10]

EIG::EIG ( const EIG & a )

inline

Definition at line 106 of file EIG.h.

◆ ~EIG()

EIG::~EIG ( void )

default

Member Function Documentation

◆ eigenvalues()

ComplexColumnVector EIG::eigenvalues ( void ) const

inline

Definition at line 121 of file EIG.h.

Referenced by Feig(), is_coplanar(), qp(), and xpow().

◆ hermitian_init() [1/2]

octave_idx_type EIG::hermitian_init	(	const ComplexMatrix &	a,
		bool	calc_rev,
		bool	calc_lev
	)

private

Definition at line 332 of file EIG.cc.

References Array< T >::cols(), ComplexMatrix, F77_DBLE_CMPLX_ARG, F77_XFCN, Array< T >::fortran_vec(), lambda, n, Array< T >::rows(), v, and w.

Referenced by init().

◆ hermitian_init() [2/2]

octave_idx_type EIG::hermitian_init	(	const ComplexMatrix &	a,
		const ComplexMatrix &	b,
		bool	calc_rev,
		bool	calc_lev
	)

private

Definition at line 710 of file EIG.cc.

References Array< T >::cols(), ComplexMatrix, F77_DBLE_CMPLX_ARG, F77_XFCN, Array< T >::fortran_vec(), lambda, n, Array< T >::rows(), v, and w.

◆ init() [1/4]

octave_idx_type EIG::init	(	const ComplexMatrix &	a,
		bool	calc_rev,
		bool	calc_lev,
		bool	balance
	)

private

Definition at line 230 of file EIG.cc.

References ComplexNDArray::any_element_is_inf_or_nan(), Array< T >::cols(), F77_DBLE_CMPLX_ARG, F77_XFCN, Array< T >::fortran_vec(), hermitian_init(), ComplexMatrix::ishermitian(), lambda, n, Array< T >::rows(), scale(), v, and w.

◆ init() [2/4]

octave_idx_type EIG::init	(	const ComplexMatrix &	a,
		const ComplexMatrix &	b,
		bool	calc_rev,
		bool	calc_lev,
		bool	force_qz
	)

private

Definition at line 598 of file EIG.cc.

References ComplexNDArray::any_element_is_inf_or_nan(), Array< T >::cols(), Array< T >::elem(), F77_DBLE_CMPLX_ARG, F77_XFCN, Array< T >::fortran_vec(), hermitian_init(), ComplexMatrix::ishermitian(), lambda, n, ComplexColumnVector::resize(), Array< T >::rows(), v, and w.

◆ init() [3/4]

octave_idx_type EIG::init	(	const Matrix &	a,
		bool	calc_rev,
		bool	calc_lev,
		bool	balance
	)

private

Definition at line 38 of file EIG.cc.

References NDArray::any_element_is_inf_or_nan(), Array< T >::cols(), Array< T >::elem(), F77_XFCN, Array< T >::fortran_vec(), Matrix::issymmetric(), lambda, n, ComplexColumnVector::resize(), ComplexMatrix::resize(), Array< T >::rows(), scale(), symmetric_init(), v, w, and octave::wi.

◆ init() [4/4]

octave_idx_type EIG::init	(	const Matrix &	a,
		const Matrix &	b,
		bool	calc_rev,
		bool	calc_lev,
		bool	force_qz
	)

private

Definition at line 391 of file EIG.cc.

References NDArray::any_element_is_inf_or_nan(), Array< T >::cols(), Array< T >::elem(), F77_XFCN, Array< T >::fortran_vec(), Matrix::issymmetric(), lambda, n, ComplexColumnVector::resize(), ComplexMatrix::resize(), Array< T >::rows(), symmetric_init(), v, and w.

◆ left_eigenvectors()

ComplexMatrix EIG::left_eigenvectors ( void ) const

inline

Definition at line 123 of file EIG.h.

References Faddeeva::w().

Referenced by Feig().

◆ operator=()

EIG& EIG::operator= ( const EIG & a )

inline

Definition at line 108 of file EIG.h.

References lambda, v, Faddeeva::w(), and w.

◆ right_eigenvectors()

ComplexMatrix EIG::right_eigenvectors ( void ) const

inline

Definition at line 122 of file EIG.h.

Referenced by Feig(), qp(), and xpow().

◆ symmetric_init() [1/2]

octave_idx_type EIG::symmetric_init	(	const Matrix &	a,
		bool	calc_rev,
		bool	calc_lev
	)

private

Definition at line 178 of file EIG.cc.

References Array< T >::cols(), ComplexMatrix, F77_XFCN, Array< T >::fortran_vec(), lambda, n, Array< T >::rows(), v, and w.

Referenced by init().

◆ symmetric_init() [2/2]

octave_idx_type EIG::symmetric_init	(	const Matrix &	a,
		const Matrix &	b,
		bool	calc_rev,
		bool	calc_lev
	)

private

Definition at line 532 of file EIG.cc.

References Array< T >::cols(), ComplexMatrix, F77_XFCN, Array< T >::fortran_vec(), lambda, n, Array< T >::rows(), v, and w.

Friends And Related Function Documentation

◆ ComplexMatrix

friend class ComplexMatrix

friend

Definition at line 43 of file EIG.h.

Referenced by hermitian_init(), and symmetric_init().

◆ Matrix

friend class Matrix

friend

Definition at line 42 of file EIG.h.

◆ operator<<

std::ostream& operator<<	(	std::ostream &	os,
		const EIG &	a
	)

friend

Member Data Documentation

◆ lambda

ComplexColumnVector EIG::lambda

private

Definition at line 129 of file EIG.h.

Referenced by hermitian_init(), init(), operator=(), and symmetric_init().

◆ v

ComplexMatrix EIG::v

private

Definition at line 130 of file EIG.h.

Referenced by hermitian_init(), init(), operator=(), and symmetric_init().

◆ w

ComplexMatrix EIG::w

private

Definition at line 131 of file EIG.h.

Referenced by hermitian_init(), init(), operator=(), and symmetric_init().

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

liboctave/numeric/EIG.h
liboctave/numeric/EIG.cc

Public Member Functions

Private Member Functions

Private Attributes

Friends

Detailed Description

Constructor & Destructor Documentation

◆ EIG() [1/10]

◆ EIG() [2/10]

◆ EIG() [3/10]

◆ EIG() [4/10]

◆ EIG() [5/10]

◆ EIG() [6/10]

◆ EIG() [7/10]

◆ EIG() [8/10]

◆ EIG() [9/10]

◆ EIG() [10/10]

◆ ~EIG()

Member Function Documentation

◆ eigenvalues()

◆ hermitian_init() [1/2]

◆ hermitian_init() [2/2]

◆ init() [1/4]

◆ init() [2/4]

◆ init() [3/4]

◆ init() [4/4]

◆ left_eigenvectors()

◆ operator=()

◆ right_eigenvectors()

◆ symmetric_init() [1/2]

◆ symmetric_init() [2/2]

Friends And Related Function Documentation

◆ ComplexMatrix

◆ Matrix

◆ operator<<

Member Data Documentation

◆ lambda

◆ v

◆ w