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java.lang.Objectorg.apache.commons.math.analysis.polynomials.PolynomialsUtils
public class PolynomialsUtils
A collection of static methods that operate on or return polynomials.
| Method Summary | |
|---|---|
static PolynomialFunction |
createChebyshevPolynomial(int degree)
Create a Chebyshev polynomial of the first kind. |
static PolynomialFunction |
createHermitePolynomial(int degree)
Create a Hermite polynomial. |
static PolynomialFunction |
createLaguerrePolynomial(int degree)
Create a Laguerre polynomial. |
static PolynomialFunction |
createLegendrePolynomial(int degree)
Create a Legendre polynomial. |
| Methods inherited from class java.lang.Object |
|---|
clone, equals, finalize, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait |
| Method Detail |
|---|
public static PolynomialFunction createChebyshevPolynomial(int degree)
Chebyshev polynomials of the first kind are orthogonal polynomials. They can be defined by the following recurrence relations:
T0(X) = 1 T1(X) = X Tk+1(X) = 2X Tk(X) - Tk-1(X)
degree - degree of the polynomial
public static PolynomialFunction createHermitePolynomial(int degree)
Hermite polynomials are orthogonal polynomials. They can be defined by the following recurrence relations:
H0(X) = 1 H1(X) = 2X Hk+1(X) = 2X Hk(X) - 2k Hk-1(X)
degree - degree of the polynomial
public static PolynomialFunction createLaguerrePolynomial(int degree)
Laguerre polynomials are orthogonal polynomials. They can be defined by the following recurrence relations:
L0(X) = 1
L1(X) = 1 - X
(k+1) Lk+1(X) = (2k + 1 - X) Lk(X) - k Lk-1(X)
degree - degree of the polynomial
public static PolynomialFunction createLegendrePolynomial(int degree)
Legendre polynomials are orthogonal polynomials. They can be defined by the following recurrence relations:
P0(X) = 1
P1(X) = X
(k+1) Pk+1(X) = (2k+1) X Pk(X) - k Pk-1(X)
degree - degree of the polynomial
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