New representations of Pade, Pade-type, and partial Pade approximants

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

卷:284

Article

Brezinski, Claude¹  Redivo-Zaglia, Michela² 

[1] Univ Sci & Tech Lille, UFR Math, UMR CNRS 8524, Lab Paul Painleve, F-59655 Villeneuve Dascq, France

[2] Univ Padua, Dipartimento Matemat, I-35121 Padua, Italy

关键词: Pade approximation;    Barycentric rational function;    Partial fraction;   

DOI  :  10.1016/j.cam.2014.07.007

来源: Elsevier

【 摘 要 】

Pade approximants are rational functions, with a denominator which does not vanish at zero, and whose series expansion match a given series as far as possible. These approximants are usually written under a rational form. In this paper, we will show how to write them also under two different barycentric forms, and under a partial fraction form, depending on free parameters. According to the choice of these parameters, Pade-type approximants can be obtained under a barycentric or a partial fraction form. (C) 2014 Elsevier B.V. All rights reserved.

【 授权许可】

Free