On a sixth-order Jarratt-type method in Banach spaces-Reference-Cited by-同舟云学术

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

Published:2015-11-17 Issue:04 Volume:08 Page:1550065
ISSN:1793-5571
Container-title:Asian-European Journal of Mathematics
language:en
Short-container-title:Asian-European J. Math.

Author:

Argyros Ioannis K.¹,George Santhosh²

Affiliation:

1. Department of Mathematical Sciences, Cameron University, Lawton, OK 73505, USA

2. Department of Mathematical and Computational Sciences, NIT, Karnataka, 575 025 India

Abstract

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 Fréchet-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) 441–456.] require hypotheses up to the third Fréchet-derivative. Numerical examples are also provided in this study.

Publisher

World Scientific Pub Co Pte Lt

Subject

General Mathematics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S1793557115500655

Reference27 articles.

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