org.spaceroots.mantissa.algebra

Class Hermite

java.lang.Object

org.spaceroots.mantissa.algebra.Polynomial

org.spaceroots.mantissa.algebra.Polynomial.Rational

org.spaceroots.mantissa.algebra.OrthogonalPolynomial

org.spaceroots.mantissa.algebra.Hermite

All Implemented Interfaces:

java.io.Serializable

public class Hermite
extends OrthogonalPolynomial

This class implements Hermite polynomials.

Hermite polynomials can be defined by the following recurrence relations:

  H0(X)   = 1
  H1(X)   = 2X
  Hk+1(X) = 2X Hk(X) - 2k Hk-1(X)
 

Version:

$Id: Hermite.java 1709 2006-12-03 21:16:50Z luc $

Author:

L. Maisonobe

See Also:

Serialized Form

Nested Class Summary

Nested classes/interfaces inherited from class org.spaceroots.mantissa.algebra.Polynomial

Polynomial.DivisionResult, Polynomial.Double, Polynomial.Rational

Field Summary

Fields inherited from class org.spaceroots.mantissa.algebra.Polynomial.Rational

a

Constructor Summary

Constructors

Constructor and Description
Hermite() Simple constructor.
Hermite(int degree) Simple constructor.

Method Summary

Methods inherited from class org.spaceroots.mantissa.algebra.Polynomial.Rational

add, euclidianDivision, getCoefficients, getDegree, getDenominatorsLCM, getDerivative, isIdentity, isOne, isZero, multiply, multiply, multiply, negate, subtract, toString, valueAt

Methods inherited from class org.spaceroots.mantissa.algebra.Polynomial

divide, divide, divide, multiply

Methods inherited from class java.lang.Object

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

Constructor Detail

Hermite

public Hermite()

Simple constructor. Build a degree 0 Hermite polynomial

Hermite

public Hermite(int degree)

Simple constructor. Build a degree d Hermite polynomial

Parameters:

degree - degree of the polynomial