org.jmol.util

Class Eigen

public class Eigen extends Object

Eigenvalues and eigenvectors of a real 3x3 symmetric matrix. adapted by Bob Hanson from http://math.nist.gov/javanumerics/jama/ (public domain)

If A is symmetric, then A = V*D*V' where the eigenvalue matrix D is diagonal and the eigenvector matrix V is orthogonal. I.e. A = V.times(D.times(V.transpose())) and V.times(V.transpose()) equals the identity matrix. In this implementation, output is as a set of double[3] ROWS

Field Summary
double[]	d
double[]	e
double[][]	Vo
double[][]	Vx

Constructor Summary
	Eigen(double[][] A)

Method Summary
void	dump()
void	dump(int i)
double[]	getEigenvalues()
double[][]	getEigenvectors()
static double	hypot(double a, double b)
static float[]	toFloat(double[] d)
static float[][]	toFloat3x3(double[][] d)
void	tql2()
void	tred2()