jmathlib.toolbox.jmathlib.matrix._private.Jampack
Class Zspec

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

public class Zspec
extends java.lang.Object

Zspec implements the spectral (eigenvalue-eigenvector) decomposition of a Hermitian matrix. Specifically, given a Hermitian matrix A there is a unitary matrix A and a real diagonal matrix D such that

      D = UHAU.

Zspec implements U as a Zmat and D as a Zdiagmat. It returns a JampackException if A is not Hermitian.

Comments: The decomposition is computed using . Schur. Eventually, there will be code that takes advantage of symmetry.
Since the diagonal matrix is real, it will be reimplemented as a Ddiagmat later.

Version:

Pre-alpha

Author:

G. W. Stewart

Field Summary

Zdiagmat	D The matrix of eigenvalues
Zmat	U The matrix of eigenvectors

Constructor Summary

Zspec(Zmat AA)
Creates a Zspec from Zmat.

Method Summary

Methods inherited from class java.lang.Object

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

Field Detail

U

public Zmat U

The matrix of eigenvectors

D

public Zdiagmat D

The matrix of eigenvalues

Constructor Detail

Zspec

public Zspec(Zmat AA)
      throws JampackException

Creates a Zspec from Zmat. Throws a JampackException if the matrix is not Hermitian.

Parameters:

AA - A Zmat

Throws:

JampackException - Thown if AA is not Hermitian.
Passed from below.