Please use this identifier to cite or link to this item:
http://idr.nitk.ac.in/jspui/handle/123456789/14621
Title: | Ball convergence theorem for a fifth-order method in banach spaces |
Authors: | Argyros I.K. George S. |
Issue Date: | 2019 |
Citation: | Understanding Banach Spaces , Vol. , , p. 115 - 124 |
Abstract: | We present a local convergence analysis for a fifth-order 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 use hypotheses up to the fourth Fréchet-derivative [1]. Hence, the applicability of these methods is expanded under weaker hypotheses and less computational cost for the constants involved in the convergence analysis. Numerical examples are also provided in this study. © 2020 by Nova Science Publishers, Inc. All rights reserved. |
URI: | http://idr.nitk.ac.in/jspui/handle/123456789/14621 |
Appears in Collections: | 3. Book Chapters |
Files in This Item:
There are no files associated with this item.
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.