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Padé approximants of special functions

✍ Scribed by Aleksandr P. Starovoitow, Natal’ya A. Starovoitowa, Natal’ya V. Ryabchenko

Book ID
115539843
Publisher
Springer US
Year
2012
Tongue
English
Weight
281 KB
Volume
187
Category
Article
ISSN
1573-8795

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📜 SIMILAR VOLUMES

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We continue a study of Padà e approximants (PA) for a series perturbed by random noise -this time we consider more general rational functions. We begin with the simple case of a sum of two geometric series, and then show how these considerations can be extended to a general rational function. We do

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The Brezinski's idea of using Pad6-type approximants to estimate errors of Pad6 approximants is considerably developed. A new, more effective method based on this idea is presented and illustrated by numerical examples.