Karim Belabas on Sun, 07 Apr 2019 15:58:46 +0200


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Re: Padé approximants?


* Dirk Laurie [2019-04-07 14:46]:
> I can't find a built-in function that computes Padé approximants of a
> power series.
> 
> e.g. pade(1 + x + 1/2*x^2 + 1/6*x^3 + 1/24*x^4 + O(x^5)) → (x^2 + 6*x
> + 12)/(x^2 - 6*x + 12)
> 
> It is of course quite easy to program for oneself in the nondegenerate
> case (epsilon algorithm) but I wonder if it may be disguised as a
> special case of a more general function.

See ??bestapprPade

Cheers,

    K.B.
--
Karim Belabas, IMB (UMR 5251)  Tel: (+33) (0)5 40 00 26 17
Universite de Bordeaux         Fax: (+33) (0)5 40 00 21 23
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