dragon.matrix.factorize

Class SVD

java.lang.Object

dragon.matrix.factorize.AbstractFactorization

dragon.matrix.factorize.SVD

All Implemented Interfaces:

Factorization, Serializable

public class SVD
extends AbstractFactorization
implements Serializable

Singular Value Decompositin

Copyright: Copyright (c) 2006

Company: Drexel University

Version:

1.0 Notes: this java class is derived from the JAVA Package.

Author:

Xiaodan Zhang

See Also:

Serialized Form

Field Summary

Fields inherited from class dragon.matrix.factorize.AbstractFactorization

SMALL_QUANTITY

Constructor Summary

Constructors

Constructor and Description
SVD()

Method Summary

Modifier and Type	Method and Description
void	factorize(SparseMatrix matrix, int dimension) Factorizes the given matrix
DoubleDenseMatrix	getLeftMatrix() Return the left singular vectors
DoubleDenseMatrix	getMiddleMatrix() Return the diagonal matrix of singular values
DoubleDenseMatrix	getRightMatrix() Return the right singular vectors
double[]	getSingularValues() Return the one-dimensional array of singular values
static void	main(String[] args)

Methods inherited from class dragon.matrix.factorize.AbstractFactorization

genPositiveMatrix, normalizeColumn, product, product, transpose

Methods inherited from class java.lang.Object

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

Constructor Detail

SVD

public SVD()

Method Detail

main

public static void main(String[] args)

factorize

public void factorize(SparseMatrix matrix,
                      int dimension)

Description copied from interface: Factorization

Factorizes the given matrix

Specified by:

factorize in interface Factorization

Parameters:

matrix - the matrix for factorization

dimension - the number of dimensions for the middle matrix

getLeftMatrix

public DoubleDenseMatrix getLeftMatrix()

Return the left singular vectors

Specified by:

getLeftMatrix in interface Factorization

Returns:

U

getRightMatrix

public DoubleDenseMatrix getRightMatrix()

Return the right singular vectors

Specified by:

getRightMatrix in interface Factorization

Returns:

V

getSingularValues

public double[] getSingularValues()

Return the one-dimensional array of singular values

Returns:

diagonal of S.

getMiddleMatrix

public DoubleDenseMatrix getMiddleMatrix()

Return the diagonal matrix of singular values

Specified by:

getMiddleMatrix in interface Factorization

Returns:

S