From: "P.G.Hamer" <P.G.Hamer@nortelnetworks.com>
Subject: Re: Padé aprox, and maple code
Date: Thu, 08 Jun 2000 13:39:27 +0100
Newsgroups: sci.math.num-analysis
Summary: [missing]

Diner wrote:

> does anyone have any useful links for Padé approximations and possabily a
> site for some maple code

If you want maple code you should probably try one of the maple or
symbolic maths groups.

From  a distant memory it's pretty easy. Expand your function as a
truncated power series and expand your Padé function (with symbolic
parameters)  as a truncated power series. Equate the terms of the
power series and solve to get your Padé parameters.

The basic idea is described in Numerical Recipes, which then gives a
procedural algorithm to solve it. You can find maple functions to
generate the truncated power series, pick the terms from the power
series, and solve the resultant simultaneous equations. There may
even be a Padé approximation function in there somewhere!

Peter

http://www.ulib.org/webRoot/Books/Numerical_Recipes/