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

被引：18

作者：

Brezinski, Claude ^{[1
]}

Redivo-Zaglia, Michela ^{[2
]}

机构：

[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

来源：

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2015年 / 284卷

关键词：

Pade approximation; Barycentric rational function; Partial fraction; PARAMETER-ESTIMATION; EXPONENTIAL-SUMS;

D O I：

10.1016/j.cam.2014.07.007

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

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.

引用

页码：69 / 77

页数：9

共 50 条

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