Local convergence of a fast Steffensen-type method on Banach space under weak conditions

被引：0
|
作者：
Argyros I.K. [1 ]
George S. [2 ]
机构：
[1] Department of Mathematical Sciences, Cameron University, Lawton, 73505, OK
[2] Department of Mathematical and Computational Sciences, NIT, 575 025, Karnataka
来源：
| 2017年 / Inderscience Publishers, 29, route de Pre-Bois, Case Postale 856, CH-1215 Geneva 15, CH-1215, Switzerland卷 / 08期
关键词：
Local convergence; Radius of convergence; Restricted convergence domain; Steffensen-type method;
D O I：
10.1504/IJCSM.2017.088975
中图分类号：
学科分类号：
摘要：
This paper is devoted to the study of the seventh-order Steffensen-type methods for solving nonlinear equations in Banach spaces. Using the idea of a restricted convergence domain, we extended the applicability of the seventh-order Steffensen-type methods. Our convergence conditions are weaker than the conditions used in the earlier studies. Numerical examples are also given in this study. Copyright © 2017 Inderscience Enterprises Ltd.
引用
收藏
页码：495 / 505
页数：10
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