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
收藏
页码：17 / 33
页数：17
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