Sara Costa on Mon, 24 Oct 2011 18:44:54 +0200

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Computing Padé approximants

 To: pariusers@pari.math.ubordeaux1.fr
 Subject: Computing Padé approximants
 From: Sara Costa <sara.costa.romero@gmail.com>
 Date: Mon, 24 Oct 2011 18:44:48 +0200
 Deliverydate: Mon, 24 Oct 2011 18:44:54 +0200
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For my work I need to compute the Padé approximants of a holomorphic function around 0. I do not know the exact value of the coefficients of its Maclaurin series because they are the solution of a linear system.
I would like to know if there exists any algorithm to compute the Padé approximants at a point (in certain point). In the affirmative case, how is the stability of the algorithm?
Thank you and I apologize for my poor English.
Sara Costa