com.mockturtlesolutions.snifflib.linalg

Interface SVDAlgorithm

All Known Implementing Classes:

AbstractSVDAlgorithm, NRSVDAlgorithm, SVDFact

public interface SVDAlgorithm

SVD decomposition algorithm interface. U*W*V' = A where U is an orthonormal basis for the range of A, V is an orthonormal basis for the nullspace of A and W is a diagonal matrix containing the so-called singular values along the main diagonal.

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.
DblMatrix	solveSystem(DblMatrix Y) Solve a linear system (X*b = Y) returning the coeficients as a DblMatrix.

Method Detail

getU

DblMatrix getU()

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

getV

DblMatrix getV()

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

nullspace

DblMatrix nullspace()

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

getW

DblMatrix getW()

Get the singular values of the matrix.

isSingular

boolean isSingular()

Return true if a singular condition is encountered during.

solveSystem

DblMatrix solveSystem(DblMatrix Y)

Solve a linear system (X*b = Y) returning the coeficients as a DblMatrix.

conditionNumber

DblMatrix conditionNumber()

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