Package org.nd4j.linalg.eigen

Class Eigen

java.lang.Object

org.nd4j.linalg.eigen.Eigen

public class Eigen
extends Object

Field Summary

Fields

Modifier and Type	Field	Description
static INDArray	dummy

Constructor Summary

Constructors

Constructor	Description
Eigen()

Method Summary

Modifier and Type	Method	Description
static INDArray[]	eig(INDArray A)	Compute the eigenvalues and eigenvectors of a square matrix
static INDArray	symmetricGeneralizedEigenvalues(INDArray A)	Compute generalized eigenvalues of the problem A x = L x.
static INDArray	symmetricGeneralizedEigenvalues(INDArray A, boolean calculateVectors)	Compute generalized eigenvalues of the problem A x = L x.
static INDArray	symmetricGeneralizedEigenvalues(INDArray A, INDArray B)	Compute generalized eigenvalues of the problem A x = L B x.
static INDArray	symmetricGeneralizedEigenvalues(INDArray A, INDArray B, boolean calculateVectors)	Compute generalized eigenvalues of the problem A x = L B x.

Methods inherited from class java.lang.Object

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

Field Detail

dummy

public static INDArray dummy

Constructor Detail

Eigen

public Eigen()

Method Detail

symmetricGeneralizedEigenvalues

public static INDArray symmetricGeneralizedEigenvalues(INDArray A)

Compute generalized eigenvalues of the problem A x = L x. Matrix A is modified in the process, holding eigenvectors after execution.

Parameters:

A - symmetric Matrix A. After execution, A will contain the eigenvectors as columns

Returns:

a vector of eigenvalues L.

symmetricGeneralizedEigenvalues

public static INDArray symmetricGeneralizedEigenvalues(INDArray A,
                                                       boolean calculateVectors)

Compute generalized eigenvalues of the problem A x = L x. Matrix A is modified in the process, holding eigenvectors as columns after execution.

Parameters:

A - symmetric Matrix A. After execution, A will contain the eigenvectors as columns

calculateVectors - if false, it will not modify A and calculate eigenvectors

Returns:

a vector of eigenvalues L.

symmetricGeneralizedEigenvalues

public static INDArray symmetricGeneralizedEigenvalues(INDArray A,
                                                       INDArray B)

Compute generalized eigenvalues of the problem A x = L B x. The data will be unchanged, no eigenvectors returned.

Parameters:

A - symmetric Matrix A.

B - symmetric Matrix B.

Returns:

a vector of eigenvalues L.

symmetricGeneralizedEigenvalues

public static INDArray symmetricGeneralizedEigenvalues(INDArray A,
                                                       INDArray B,
                                                       boolean calculateVectors)

Compute generalized eigenvalues of the problem A x = L B x. The data will be unchanged, no eigenvectors returned unless calculateVectors is true. If calculateVectors == true, A will contain a matrix with the eigenvectors as columns.

Parameters:

A - symmetric Matrix A.

B - symmetric Matrix B.

Returns:

a vector of eigenvalues L.

eig

public static INDArray[] eig(INDArray A)

Compute the eigenvalues and eigenvectors of a square matrix

Parameters:

A - square Matrix A.

Returns:

{eigenvalues, eigenvectors}.