Ideas from continued fraction theory extended to Pade approximation and generalized iteration

被引：2

作者：

Lorentzen, L ^{[1
]}

机构：

[1] Norwegian Univ Sci & Technol, Dept Math Sci, N-7491 Trondheim, Norway

来源：

ACTA APPLICANDAE MATHEMATICAE | 2000年 / 61卷 / 1-3期

关键词：

continued fraction; Pade approximation; convergence; general convergence; convergence acceleration; generalized iteration; self-mappings;

D O I：

10.1023/A:1006414501573

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This is a survey of some basic ideas in the convergence theory for continued fractions, in particular value sets, general convergence and the use of modified approximants to obtain convergence acceleration and analytic continuation. The purpose is to show how these ideas apply to some other areas of mathematics. In particular, we introduce {w(k)}-modifications and general convergence for sequences of Pade approximants.

引用

页码：185 / 206

页数：22

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