jmathlib.toolbox.jmathlib.matrix._private.Jampack
Class Eig

java.lang.Object
  jmathlib.toolbox.jmathlib.matrix._private.Jampack.Eig

public class Eig
extends java.lang.Object

Eig implements the eigenvalue-vector decomposition of of a square matrix. Specifically given a diagonalizable matrix A, there is a matrix nonsingular matrix X such that

      D = X-1 AX

is diagonal. The columns of X are eigenvectors of A corresponding to the diagonal elements of D. Eig implements X as a Zmat and D as a Zdiagmat.

Warning: if A is defective rounding error will allow Eig to compute a set of eigevectors. However, the matrix X will be ill conditioned.

Version:

Pre-alpha

Author:

G. W. Stewart

Field Summary

Zdiagmat	D The diagonal matrix of eigenvalues
Zmat	X The matrix of eigevectors

Constructor Summary

Eig(Zmat A)
Creates an eigenvalue-vector decomposition of a square matrix A.

Method Summary

Methods inherited from class java.lang.Object

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

Field Detail

X

public Zmat X

The matrix of eigevectors

D

public Zdiagmat D

The diagonal matrix of eigenvalues

Constructor Detail

Eig

public Eig(Zmat A)
    throws JampackException

Creates an eigenvalue-vector decomposition of a square matrix A.

Parameters:

A - The matrix whose decomposition is to be computed

Throws:

JampackException - Thrown if A is not square.
Passed from below.