com.numericalmethod.suanshu.matrix.doubles.factorization.eigen

Class EigenProperty

java.lang.Object

com.numericalmethod.suanshu.matrix.doubles.factorization.eigen.EigenProperty

All Implemented Interfaces:

java.io.Serializable

public class EigenProperty
extends java.lang.Object
implements java.io.Serializable

Eigen.Property is a read-only structure that contains the information about a particular eigenvalue, such as its multiplicity and eigenvectors.

See Also:

Serialized Form

Method Summary

Modifier and Type	Method and Description
int	algebraicMultiplicity() Get the multiplicity of the eigenvalue (a root) of the characteristic polynomial.
java.util.List<Vector>	eigenbasis() Get the eigenvectors.
java.lang.Number	eigenvalue() Get the eigenvalue.
Vector	eigenVector() Get an eigenvector.
int	geometricMultiplicity() Get the dimension of the vector space spanned by the eigenvectors.

Methods inherited from class java.lang.Object

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

Method Detail

eigenvalue

public java.lang.Number eigenvalue()

Get the eigenvalue.

Returns:

the eigenvalue

algebraicMultiplicity

public int algebraicMultiplicity()

Get the multiplicity of the eigenvalue (a root) of the characteristic polynomial.

Returns:

the algebraic multiplicity

geometricMultiplicity

public int geometricMultiplicity()

Get the dimension of the vector space spanned by the eigenvectors.

Returns:

the geometric multiplicity

eigenbasis

public java.util.List<Vector> eigenbasis()

Get the eigenvectors.

Returns:

the eigenvectors

eigenVector

public Vector eigenVector()

Get an eigenvector. Note that eigenvector is not unique. This implementation always returns the first vector in the basis. To get a complete set of the basis of the eigenvector space, use eigenbasis().

Returns:

an eigenvector