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.
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页数：12
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