jmathlib.toolbox.jmathlib.matrix._private.Jampack
Class Schur

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

public class Schur
extends java.lang.Object

Schur implements the Schur decomposition of a matrix. Specifically, given a square matrix A, there is a unitary matrix U such that

      T = U^H AU

is upper triangular. Schur represents T as a Zutmat and U as a Zmat.

Version:

Pre-alpha

Author:

G. W. Stewart

Field Summary

static int	MAXITER Limits the number of interations in the QR algorithm
Zutmat	T The upper triangular matrix.
Zmat	U The unitary matrix.

Constructor Summary

Schur(Zmat A)
Creats a Schur decomposition from a square Zmat.

Method Summary

Methods inherited from class java.lang.Object

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

Field Detail

T

public Zutmat T

The upper triangular matrix.

U

public Zmat U

The unitary matrix.

MAXITER

public static int MAXITER

Limits the number of interations in the QR algorithm

Constructor Detail

Schur

public Schur(Zmat A)
      throws JampackException

Creats a Schur decomposition from a square Zmat.

Parameters:

A - The Zmat whose Schur decomposition is to be computed

Throws:

JampackException - Thrown for nonsquare matrix.
Thrown for maximum iteration count exceeded.