mikera.matrixx.decompose.impl.eigen

Class SymmetricQrAlgorithm

java.lang.Object

mikera.matrixx.decompose.impl.eigen.SymmetricQrAlgorithm

public class SymmetricQrAlgorithm
extends java.lang.Object

Computes the eigenvalues and eigenvectors of a symmetric tridiagonal matrix using the symmetric QR algorithm.

This implementation is based on the algorithm is sketched out in:
David S. Watkins, "Fundamentals of Matrix Computations," Second Edition. page 377-385

Constructor Summary

Constructors

Constructor and Description
SymmetricQrAlgorithm() Creates a new SymmetricQREigenvalue class that declares its own SymmetricQREigenHelper.
SymmetricQrAlgorithm(SymmetricQREigenHelper helper)

Method Summary

Modifier and Type	Method and Description
double	getEigenvalue(int index) Returns the eigenvalue at the specified index.
int	getNumberOfEigenvalues() Returns the number of eigenvalues available.
Matrix	getQ()
void	performStep() First looks for zeros and then performs the implicit single step in the QR Algorithm.
boolean	process(int sideLength, double[] diag, double[] off)
boolean	process(int sideLength, double[] diag, double[] off, double[] eigenvalues) Computes the eigenvalue of the provided tridiagonal matrix.
void	setFastEigenvalues(boolean fastEigenvalues)
void	setMaxIterations(int maxIterations)
void	setQ(Matrix q)

Methods inherited from class java.lang.Object

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

Constructor Detail

SymmetricQrAlgorithm

public SymmetricQrAlgorithm(SymmetricQREigenHelper helper)

SymmetricQrAlgorithm

public SymmetricQrAlgorithm()

Creates a new SymmetricQREigenvalue class that declares its own SymmetricQREigenHelper.

Method Detail

setMaxIterations

public void setMaxIterations(int maxIterations)

getQ

public Matrix getQ()

setQ

public void setQ(Matrix q)

setFastEigenvalues

public void setFastEigenvalues(boolean fastEigenvalues)

getEigenvalue

public double getEigenvalue(int index)

Returns the eigenvalue at the specified index.

Parameters:

index - Which eigenvalue.

Returns:

The eigenvalue.

getNumberOfEigenvalues

public int getNumberOfEigenvalues()

Returns the number of eigenvalues available.

Returns:

How many eigenvalues there are.

process

public boolean process(int sideLength,
                       double[] diag,
                       double[] off,
                       double[] eigenvalues)

Computes the eigenvalue of the provided tridiagonal matrix. Note that only the upper portion needs to be tridiagonal. The bottom diagonal is assumed to be the same as the top.

Parameters:

sideLength - Number of rows and columns in the input matrix.

diag - Diagonal elements from tridiagonal matrix. Modified.

off - Off diagonal elements from tridiagonal matrix. Modified.

Returns:

true if it succeeds and false if it fails.

process

public boolean process(int sideLength,
                       double[] diag,
                       double[] off)

performStep

public void performStep()

First looks for zeros and then performs the implicit single step in the QR Algorithm.