net.mumie.mathletfactory.math.number.numeric

Class Eigenvalue

java.lang.Object

net.mumie.mathletfactory.math.number.numeric.Eigenvalue

public class Eigenvalue
extends java.lang.Object

Contains methods for the computation of eigenvalues and eigenvectors of a real symmetric nxn-matrix by using the Jacobi method. The algorithms are based on the numerical recipes. A detailed decription of the algorithms and the numerical background can be found on the numerical recipes website.

Author:

Mrose

Document status:

finished

Constructor Summary

Constructors

Constructor and Description
Eigenvalue()

Method Summary

Methods

Modifier and Type	Method and Description
static MNumber[]	eigenvalue(MNumber[] A) Computes all eigenvalues of a real symmetric nxn-matrix A by approximation.
static MNumber[]	eigenvector(MNumber[] A) Computes a basis of eigenvectors of a real symmetric nxn-matrix A by approximation.

Methods inherited from class java.lang.Object

clone, equals, finalize, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait

Constructor Detail

Eigenvalue

public Eigenvalue()

Method Detail

eigenvalue

public static MNumber[] eigenvalue(MNumber[] A)

Computes all eigenvalues of a real symmetric nxn-matrix A by approximation. The algorithm uses the Jacobi method.

Parameters:

A - a MNumber[] holding rowwise the symmetric nxn input matrix.

Returns:

a MNumber[] holding the eigenvalues of A.

Throws:

java.lang.IllegalArgumentException - if A is not a symmetric square matrix.

eigenvector

public static MNumber[] eigenvector(MNumber[] A)

Computes a basis of eigenvectors of a real symmetric nxn-matrix A by approximation. The algorithm uses the Jacobi method.

Parameters:

A - a MNumber[] holding rowwise the symmetric nxn input matrix.

Returns:

a MNumber[] holding columnwise the normalized eigenvectors of A.

Throws:

java.lang.IllegalArgumentException - if A is not a symmetric square matrix.