On a sixth-order Jarratt-type method in Banach spaces

被引：1

作者：

Argyros, Ioannis K. ^{[1
]}

George, Santhosh ^{[2
]}

机构：

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

[2] NIT, Dept Math & Computat Sci, Mangalore 575025, Karnataka, India

来源：

ASIAN-EUROPEAN JOURNAL OF MATHEMATICS | 2015年 / 8卷 / 04期

关键词：

Jarratt-type methods; Banach space; local convergence; Frechet-derivative;

D O I：

10.1142/S1793557115500655

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We present a local convergence analysis of a sixth-order Jarratt-type method in order to approximate a solution of a nonlinear equation in a Banach space. Our sufficient convergence conditions involve only hypotheses on the first Frechet-derivative of the operator involved. Earlier studies such as [X. Wang, J. Kou and C. Gu, Semilocal convergence of a sixth-order Jarratt method in Banach spaces, Numer. Algorithms 57 (2011) 441456.] require hypotheses up to the third Frechet-derivative. Numerical examples are also provided in this study.

引用

页数：12

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