com.mockturtlesolutions.snifflib.linalg

Class NRSVDAlgorithm

java.lang.Object

com.mockturtlesolutions.snifflib.linalg.AbstractSVDAlgorithm

com.mockturtlesolutions.snifflib.linalg.NRSVDAlgorithm

All Implemented Interfaces:

SVDAlgorithm

public class NRSVDAlgorithm
extends AbstractSVDAlgorithm

This SVD algorithm closely follows the one given in Numerical Recipes in Fortran by Press et al. 1992

Constructor Summary

Constructors

Constructor and Description
NRSVDAlgorithm()
NRSVDAlgorithm(DblMatrix ain)

Method Summary

Methods

Modifier and Type	Method and Description
DblMatrix	conditionNumber() Returns the condition number of the decomposed matrix.
DblMatrix	getU() Get an orthonormal basis for the range of the decomposed matrix.
DblMatrix	getV() Get an orthonormal basis for the nullspace of the decomposed matrix.
DblMatrix	getW() Get the singular values of the matrix.
boolean	isSingular() Return true if a singular condition is encountered during.
DblMatrix	nullspace() Return an orthonormal basis for the nullspace of the decomposed matrix.
static DblMatrix	nullspace(DblMatrix X)
DblMatrix	solveSystem(DblMatrix b) Solves the systems A*x = b for given right hand side b.

Methods inherited from class java.lang.Object

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

Constructor Detail

NRSVDAlgorithm

public NRSVDAlgorithm()

NRSVDAlgorithm

public NRSVDAlgorithm(DblMatrix ain)

Method Detail

getW

public DblMatrix getW()

Description copied from class: AbstractSVDAlgorithm

Get the singular values of the matrix.

Specified by:

getW in interface SVDAlgorithm

Specified by:

getW in class AbstractSVDAlgorithm

getV

public DblMatrix getV()

Description copied from class: AbstractSVDAlgorithm

Get an orthonormal basis for the nullspace of the decomposed matrix.

Specified by:

getV in interface SVDAlgorithm

Specified by:

getV in class AbstractSVDAlgorithm

getU

public DblMatrix getU()

Description copied from class: AbstractSVDAlgorithm

Get an orthonormal basis for the range of the decomposed matrix.

Specified by:

getU in interface SVDAlgorithm

Specified by:

getU in class AbstractSVDAlgorithm

solveSystem

public DblMatrix solveSystem(DblMatrix b)

Solves the systems A*x = b for given right hand side b. The output is x.

Specified by:

solveSystem in interface SVDAlgorithm

Specified by:

solveSystem in class AbstractSVDAlgorithm

conditionNumber

public DblMatrix conditionNumber()

Description copied from class: AbstractSVDAlgorithm

Returns the condition number of the decomposed matrix. The condition number is the ratio of the largest to smallest singular values.

Specified by:

conditionNumber in interface SVDAlgorithm

Specified by:

conditionNumber in class AbstractSVDAlgorithm

isSingular

public boolean isSingular()

Description copied from class: AbstractSVDAlgorithm

Return true if a singular condition is encountered during.

Specified by:

isSingular in interface SVDAlgorithm

Specified by:

isSingular in class AbstractSVDAlgorithm

nullspace

public DblMatrix nullspace()

Description copied from class: AbstractSVDAlgorithm

Return an orthonormal basis for the nullspace of the decomposed matrix.

Specified by:

nullspace in interface SVDAlgorithm

Specified by:

nullspace in class AbstractSVDAlgorithm

nullspace

public static DblMatrix nullspace(DblMatrix X)