vnl_complex_eigensystem Class Reference

Calculates eigenvalues and eigenvectors of a square complex matrix. More...

#include <vnl_complex_eigensystem.h>

List of all members.

Public Member Functions
	vnl_complex_eigensystem (vnl_matrix< double > const &A_real, vnl_matrix< double > const &A_imag, bool right=true, bool left=false)
	vnl_complex_eigensystem (vnl_matrix< vcl_complex< double > > const &A, bool right=true, bool left=false)
vcl_complex< double >	eigen_value (unsigned i) const
vnl_vector< vcl_complex< double > >	left_eigen_vector (unsigned i) const
vnl_vector< vcl_complex< double > >	right_eigen_vector (unsigned i) const
Public Attributes
unsigned int const	N
vnl_matrix< vcl_complex< double > >	L
vnl_matrix< vcl_complex< double > >	R
vnl_vector< vcl_complex< double > >	W
Private Member Functions
void	compute (vnl_matrix< vcl_complex< double > > const &, bool, bool)

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Detailed Description

Calculates eigenvalues and eigenvectors of a square complex matrix.

Class to compute and hold the eigenvalues and (optionally) eigenvectors of a square complex matrix, using the LAPACK routine zgeev.

Default behaviour is to compute the eigenvalues and the right eigenvectors.

The input NxN matrix A is passed into the constructor. The flags right,left request the calculation of right and left eigenvectors respectively. The compute eigenvalues are stored in the member 'W'.

Computed right eigenvectors are stored in the **ROWS** of the member 'R' and computed left eigenvectors are stored in the **ROWS** of the member 'L'. When eigenvectors are not requested, the corresponding matrices L and R will be empty.

The ith right eigenvector v satisfies A*v = W[i]*v
The ith left eigenvector u satisfies u*A = W[i]*u (no conjugation)

Definition at line 37 of file vnl_complex_eigensystem.h.

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Constructor & Destructor Documentation

vnl_complex_eigensystem::vnl_complex_eigensystem	(	vnl_matrix< double > const &	A_real,
		vnl_matrix< double > const &	A_imag,
		bool	right = true,
		bool	left = false
	)

Definition at line 100 of file vnl_complex_eigensystem.cxx.

vnl_complex_eigensystem::vnl_complex_eigensystem	(	vnl_matrix< vcl_complex< double > > const &	A,
		bool	right = true,
		bool	left = false
	)

Definition at line 89 of file vnl_complex_eigensystem.cxx.

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Member Function Documentation

void vnl_complex_eigensystem::compute	(	vnl_matrix< vcl_complex< double > > const &	A,
		bool	right,
		bool	left
	)		[private]

Definition at line 12 of file vnl_complex_eigensystem.cxx.

vcl_complex<double> vnl_complex_eigensystem::eigen_value

(

unsigned

i

)

const [inline]

Definition at line 55 of file vnl_complex_eigensystem.h.

vnl_vector<vcl_complex<double> > vnl_complex_eigensystem::left_eigen_vector

(

unsigned

i

)

const [inline]

Definition at line 56 of file vnl_complex_eigensystem.h.

vnl_vector<vcl_complex<double> > vnl_complex_eigensystem::right_eigen_vector

(

unsigned

i

)

const [inline]

Definition at line 58 of file vnl_complex_eigensystem.h.

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Member Data Documentation

vnl_matrix<vcl_complex<double> > vnl_complex_eigensystem::L

Definition at line 42 of file vnl_complex_eigensystem.h.

unsigned int const vnl_complex_eigensystem::N

Definition at line 41 of file vnl_complex_eigensystem.h.

vnl_matrix<vcl_complex<double> > vnl_complex_eigensystem::R

Definition at line 43 of file vnl_complex_eigensystem.h.

vnl_vector<vcl_complex<double> > vnl_complex_eigensystem::W

Definition at line 44 of file vnl_complex_eigensystem.h.

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

• core/vnl/algo/vnl_complex_eigensystem.h
• core/vnl/algo/vnl_complex_eigensystem.cxx