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

页码：495 / 505

页数：10

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