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
收藏
页码：11 / 26
页数：16
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