Multivariate two-point Pade-type and two-point Pade approximants

被引：3

作者：

Abouir, J

Cuyt, A

Orive, R

机构：

[1] Fac Sci & Tech, Dept Math, Mohammadia, Morocco

[2] Univ Instelling Antwerp, Dept Math & Comp Sci, FWO, B-2610 Wilrijk, Belgium

[3] Univ La Laguna, Dept Math Anal, Tenerife, Spain

来源：

NUMERICAL ALGORITHMS | 2003年 / 33卷 / 1-4期

关键词：

multivariate; two-point Pade approximant; Pade-type approximant; convergence;

D O I：

10.1023/A:1025579014066

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In his paper the notions of two-point Pade-type and two-point Pade approximants are generalized for multivariate functions, with a generating denominator polynomial of general form. The multivariate two-point Pade approximant can be expressed as a ratio of two determinants and computed recursively using the E-algorithm. A comparison is made with previous definitions by other authors using particular generating denominator polynomials. The last section contains some convergence results.

引用

页码：11 / 26

页数：16

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