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

#include <vnl_complex_eigensystem.h>

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< std::complex< double > > const &A, bool right=true, bool left=false)

std::complex< double >	eigen_value (unsigned i) const

vnl_vector< std::complex< double > >	left_eigen_vector (unsigned i) const

vnl_vector< std::complex< double > >	right_eigen_vector (unsigned i) const

Public Attributes
unsigned int const	N

vnl_matrix< std::complex< double > >	L

vnl_matrix< std::complex< double > >	R

vnl_vector< std::complex< double > >	W

Private Member Functions
void	compute (vnl_matrix< std::complex< double > > const &, bool, bool)

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 42 of file vnl_complex_eigensystem.h.

Constructor & Destructor Documentation

◆ vnl_complex_eigensystem() [1/2]

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