Convergence of the rational interpolants of Stieltjes functions

被引：1
|
作者：
Song, B
Lian, H
机构：
[1] Shanghai Jiao Tong Univ, Dept Math, Shanghai 200030, Peoples R China
[2] Shanghai Jiao Tong Univ, Dept Math, Shanghai 20240, Peoples R China
来源：
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2003年 / 159卷 / 01期
关键词：
rational interpolation; Stieltjes function; convergence;
D O I：
10.1016/S0377-0427(03)00571-5
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper investigated the convergence of the parallel diagonals (with fixed difference of denominator degrees and numerator degrees) sequences of the rational interpolation to a Stieltjes function. A simple convergence criterion was given and conclusions about the position of poles were established. (C) 2003 Elsevier B.V. All rights reserved.
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页码：129 / 135
页数：7
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