org.hipparchus.linear

Class OrderedEigenDecomposition

java.lang.Object

org.hipparchus.linear.EigenDecomposition

org.hipparchus.linear.OrderedEigenDecomposition

public class OrderedEigenDecomposition
extends EigenDecomposition

Given a matrix A, it computes an eigen decomposition A = VDV^{T}. It also ensures that eigen values in the diagonal of D are in ascending order.

Constructor Summary

Constructors

Constructor and Description
OrderedEigenDecomposition(RealMatrix matrix) Constructor using the EigenDecomposition as starting point for ordering.

Method Summary

Modifier and Type	Method and Description
RealMatrix	getVT() Gets the transpose of the matrix V of the decomposition.

Methods inherited from class org.hipparchus.linear.EigenDecomposition

getD, getDeterminant, getEigenvector, getEpsilon, getImagEigenvalue, getImagEigenvalues, getRealEigenvalue, getRealEigenvalues, getSolver, getSquareRoot, getV, hasComplexEigenvalues

Methods inherited from class java.lang.Object

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

Constructor Detail

OrderedEigenDecomposition

public OrderedEigenDecomposition(RealMatrix matrix)

Constructor using the EigenDecomposition as starting point for ordering.

Parameters:

matrix - matrix to decompose

Method Detail

getVT

public RealMatrix getVT()

Gets the transpose of the matrix V of the decomposition. V is an orthogonal matrix, i.e. its transpose is also its inverse. The columns of V are the eigenvectors of the original matrix. No assumption is made about the orientation of the system axes formed by the columns of V (e.g. in a 3-dimension space, V can form a left- or right-handed system).

Overrides:

getVT in class EigenDecomposition

Returns:

the transpose of the V matrix.