On the computation of nonhyperbolic fixed points

被引：1

作者：

Graça, MM ^{[1
]}

机构：

[1] Univ Tecn Lisboa, Dept Matemat, Inst Super Tecn, P-1049001 Lisbon, Portugal

来源：

EXPERIMENTAL MATHEMATICS | 2002年 / 11卷 / 04期

关键词：

fixed point; nonhyperbolic; super-attracting fixed point; iteration function; order of covergence;

D O I：

10.1080/10586458.2002.10504700

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In order to deal with nonhyperbolic fixed points of a given real iteration function g, we construct new iteration functions C which will be called combined. When a nonhyperbolic fixed point of g becomes a super attractor fixed point of C, the iteration function C is called flat. Some flat iteration functions are constructed based on Newton's iteration function. Several numerical examples illustrating the good properties of flat iteration functions are presented.

引用

页码：477 / 485

页数：9

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