OrthogonalPolynomials Class

public static class OrthogonalPolynomials

Public NotInheritable Class OrthogonalPolynomials

public ref class OrthogonalPolynomials abstract sealed

[<AbstractClassAttribute>]
[<SealedAttribute>]
type OrthogonalPolynomials = class end

Inheritance

Object    OrthogonalPolynomials

Orthogonal polynomials are complete families of polynomials that are orthogonal on a given interval with a given integration weight. Because of this property, any function on the interval can be expanded in the polynomials in a unique way.

Because their fluctuations across the interval are driven by cancellations among multiple terms, polynomials are notoriously difficult to evaluate with guaranteed numerical accuracy over all points in their domain. As order increases, our methods loose some accuracy. Each method description gives an example of the accuracy that can be expected for different argument regiemes.

By the way, the Wikipedia article on the classical orthogonal polynomials is particularly good.

Reference

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