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Legendre-Pade Approximation

by Greg von Winckel

 

13 Jun 2004 (Updated 16 Jun 2004)

Code covered by BSD License  

Computes the Legendre Pade approximation to an analytic function.

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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)
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Comments and Ratings (3)
14 Jul 2005 tahira nawaz  
21 Sep 2006 H XU

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

05 May 2009 Wei Zhao

example needed

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Tag Activity for this File
Tag Applied By Date/Time
approximation Greg von Winckel 22 Oct 2008 07:23:48
interpolation Greg von Winckel 22 Oct 2008 07:23:48
legendre Greg von Winckel 22 Oct 2008 07:23:48
polynomials Greg von Winckel 22 Oct 2008 07:23:48
pade Greg von Winckel 22 Oct 2008 07:23:48
approximant Greg von Winckel 22 Oct 2008 07:23:48
math Greg von Winckel 22 Oct 2008 07:23:48
 

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