Legendre-Pade Approximation

Computes the Legendre Pade approximation to an analytic function.

Description

Computes a rational approximation to an analytic function using Legendre Polynomials. Sample a function f(x) at the Legendre-Gauss-Lobatto nodes (see requirements) and this script computes the Legendre expansion coefficients of the functions a(x) and b(x) such that a/b~=f.

Note f(x) must have a locally convergent Taylor series.

Acknowledgements

The author wishes to acknowledge the following in the creation of this submission:
Legende-Gauss-Lobatto nodes and weights, LegendreExpansion.m

• MATLAB release: MATLAB 6.0 (R12)
• Other requirements: Requires lglnodes.m (File ID 4775)

[tahira nawaz]

 

[H XU]

It's desirable that the author shows by the example on how to use their code.

[Wei Zhao]

example needed