Improved convergence analysis for the secant method based on a certain type of recurrence relations

被引：5

作者：

Argyros, IK ^{[1
]}

机构：

[1] Cameron Univ, Dept Math Sci, Lawton, OK 73505 USA

来源：

INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS | 2004年 / 81卷 / 05期

关键词：

secant method; Banach space; divided difference of order one; Frechet-derivative; semilocal/local convergence;

D O I：

10.1080/00207160410001688600

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We provide new sufficient conditions for the local as well as semilocal convergence of the secant method in a Banach space. Using a certain type of recurrence relations, we provide a finer convergence analysis than before. Moreover, our conditions compare favourably with earlier ones, which allow us to apply our results in cases not covered before.

引用

页码：629 / 637

页数：9

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