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.

引用

页码：129 / 135

页数：7

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