vnl_generalized_eigensystem Class Reference

#include <vnl_generalized_eigensystem.h>

Collaboration diagram for vnl_generalized_eigensystem:

[legend]List of all members.

Public Methods
	vnl_generalized_eigensystem (const vnl_matrix< double > &A, const vnl_matrix< double > &B)
Public Attributes
int	n
vnl_matrix< double >	V
vnl_diag_matrix< double >	D

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Detailed Description

Solves the generalized eigenproblem Ax=La. Solves the generalized eigenproblem of , with symmetric and positive definite. See Golub and van Loan, Section 8.7.

Definition at line 22 of file vnl_generalized_eigensystem.h.

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Constructor & Destructor Documentation

vnl_generalized_eigensystem::vnl_generalized_eigensystem (  const vnl_matrix< double > &    A, const vnl_matrix< double > &    B )

Solve real generalized eigensystem $A x = \lambda B x$ for. and , where symmetric, positive definite. Initializes storage for the matrix and the vnl_diag_matrix . The eigenvalues are sorted into increasing order (of value, not absolute value). Uses vnl_cholesky decomposition , to convert to and then uses the Symmetric eigensystem code. It will print a verbose warning if is not positive definite.

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Member Data Documentation

vnl_diag_matrix<double> vnl_generalized_eigensystem::D

Public eigenvalues.\ After construction, this contains the diagonal. matrix of eigenvalues, stored as a vector. Definition at line 51 of file vnl_generalized_eigensystem.h.

int vnl_generalized_eigensystem::n

Definition at line 25 of file vnl_generalized_eigensystem.h.

vnl_matrix<double> vnl_generalized_eigensystem::V

Public eigenvectors.\ After construction, this contains the matrix of. eigenvectors. Definition at line 46 of file vnl_generalized_eigensystem.h.

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

• vnl_generalized_eigensystem.h

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