IMPROVED CONVERGENCE OF STEFFENSEN'S METHOD FOR APPROXIMATING FIXED POINTS OF OPERATORS IN BANACH SPACE

被引：0

作者：

Argyros, Ioannis K. ^{[1
]}

Ren, Hongmin ^{[2
]}

机构：

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

[2] Hangzhou Polytech, Coll Informat & Engn, Hangzhou 311402, Zhejiang, Peoples R China

来源：

JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY | 2017年 / 54卷 / 01期

关键词：

Steffensen's method; Banach space; fixed point; local-semilocal convergence; divided difference;

D O I：

10.4134/JKMS.j150580

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We present a new local as well as a semilocal convergence analysis for Steffensen's method in order to locate fixed points of operators on a Banach space setting. Using more precise majorizing sequences we show under the same or less computational cost that our convergence criteria can be weaker than in earlier studies such as [1-13], [21, 22]. Numerical examples are provided to illustrate the theoretical results.

引用

页码：17 / 33

页数：17

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