org.spaceroots.mantissa.algebra

Class Chebyshev

java.lang.Object

org.spaceroots.mantissa.algebra.Polynomial

org.spaceroots.mantissa.algebra.Polynomial.Rational

org.spaceroots.mantissa.algebra.OrthogonalPolynomial

org.spaceroots.mantissa.algebra.Chebyshev

All Implemented Interfaces:

java.io.Serializable

public class Chebyshev
extends OrthogonalPolynomial

This class implements Chebyshev polynomials.

Chebyshev polynomials can be defined by the following recurrence relations:

  T0(X)   = 1
  T1(X)   = X
  Tk+1(X) = 2X Tk(X) - Tk-1(X)
 

Version:

$Id: Chebyshev.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
Chebyshev() Simple constructor.
Chebyshev(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

Chebyshev

public Chebyshev()

Simple constructor. Build a degree 0 Chebyshev polynomial

Chebyshev

public Chebyshev(int degree)

Simple constructor. Build a degree d Chebyshev polynomial

Parameters:

degree - degree of the polynomial