org.jscience.chemistry.quantum.math.la
Class JacobiDiagonalizer

java.lang.Object
  org.jscience.chemistry.quantum.math.la.Diagonalizer
      org.jscience.chemistry.quantum.math.la.JacobiDiagonalizer

public class JacobiDiagonalizer
extends Diagonalizer

Jacobi diagonalization attempts to diagonalize a matrix such that after O(N³) operations, the off-diagonal elements are made zero. So, the diagonal elements now represent the eigen values.
Jacobi diagonalization becomes inefficient for higher order matrices because of use of matrix multiplications for diagonalizing the matrix. Also, the diagonal elements made zero may become non-zero in successive sweeps.
Taken from Numerical Recipes, section 11.1.

Field Summary

Fields inherited from class org.jscience.chemistry.quantum.math.la.Diagonalizer

eigenSort, eigenValues, eigenVectors, maximumIteration, rmsTolerance, zeroTolerance

Constructor Summary

JacobiDiagonalizer()
Creates a new instance of JacobiDiagonalizer

Method Summary

void	diagonalize(Matrix matrix) the diagonalization method, for the matrix A

Methods inherited from class org.jscience.chemistry.quantum.math.la.Diagonalizer

getEigenValues, getEigenVectors, getMaximumIteration, getRmsTolerance, getZeroTolerance, isEigenSort, setEigenSort, setMaximumIteration, setRmsTolerance, setZeroTolerance

Methods inherited from class java.lang.Object

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

Constructor Detail

JacobiDiagonalizer

public JacobiDiagonalizer()

Creates a new instance of JacobiDiagonalizer

Method Detail

diagonalize

public void diagonalize(Matrix matrix)

the diagonalization method, for the matrix A

Specified by:

diagonalize in class Diagonalizer

Parameters:

matrix - - the matrix that is to be diagonalized