A Unified Local Convergence for Jarratt-type Methods in Banach Space Under Weak Conditions

被引：0

作者：

Argyros, Ioannis K. ^{[1
]}

George, Santhosh ^{[2
]}

机构：

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

[2] Natl Inst Technol Karnataka, Dept Math & Computat Sci, Mangalore 757025, India

来源：

THAI JOURNAL OF MATHEMATICS | 2015年 / 13卷 / 01期

关键词：

Jarratt-type methods; Inexact Newton method; Banach space; Convergence ball; local convergence;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We present a unified local convergence analysis for Jarratt-type methods in order to approximate a solution of a nonlinear equation in a Banach space setting. Our methods include the Jarratt; Inverse free Jarratt; super-Halley and other high order methods. The convergence ball and error estimates are given for these methods under the same conditions. Numerical examples are also provided in this study.

引用

页码：165 / 176

页数：12

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