A convergence theorem for vector valued rational interpolants

机译：向量值有理插值的一个收敛定理

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摘要

This paper investigated the convergence of the columns (with fixed denominator degrees) of the vector valued rational interpolations to a meromorphic function. A simple convergence criterion and the rate of convergence were given. The criterion is a nature extension of the theorem of Saff for the convergence of columns of scalar rational interpolations.

机译：本文研究了向量值有理插值的列（具有固定的分母度）对亚纯函数的收敛性。给出了一个简单的收敛准则和收敛速度。该准则是Saff定理的本质扩展，用于标量有理插值的列的收敛。

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来源
《The Fifth China-Japan Joint Seminar on Numerical Mathematics Aug 21-25, 2002 Shanghai, China》|2002年|p.199-203|共5页
会议地点 Shanghai(CN)
作者
Bao-Rui Song;
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作者单位

Department of Applied Mathematics Shanghai Jiaotong University, Shanghai 200030, P.R China;

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会议组织
原文格式 PDF
正文语种 eng
中图分类数学;
关键词
rational interpolation; convergence; vector valued function; meromophic functions;

机译：有理插值;收敛;向量值函数;语素函数;

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A convergence theorem for vector valued rational interpolants

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