eprintid: 11301
rev_number: 2
eprint_status: archive
userid: 1
dir: disk0/00/01/13/01
datestamp: 2023-11-10 03:25:49
lastmod: 2023-11-10 03:25:49
status_changed: 2023-11-10 01:14:56
type: article
metadata_visibility: show
creators_name: Said Solaiman, O.
creators_name: Abdul Karim, S.A.
creators_name: Hashim, I.
title: Optimal fourth- and eighth-order of convergence derivative-free modifications of King's method
ispublished: pub
note: cited By 14
abstract: Starting by King's method, we propose a modified families of fourth- and eighth-order of convergence iterative methods for nonlinear equations. The fourth-order method requires at each iteration three function evaluations, while the eighth-order methods both need four function evaluations. The proposed methods are derivative-free. Based on the conjecture of Kung and Traub, the new methods attain the optimality with efficiency index 1.587 for the fourth-order method and 1.68 for the eighth-order methods. The convergence analyses of the methods are given, and comparisons with some well-known schemes having identical order of convergence demonstrate the efficiency of the present techniques. © 2018 The Authors
date: 2019
publisher: Elsevier B.V.
official_url: https://www.scopus.com/inward/record.uri?eid=2-s2.0-85057957375&doi=10.1016%2fj.jksus.2018.12.001&partnerID=40&md5=a70f1e060da4974c0d21debf73e325a0
id_number: 10.1016/j.jksus.2018.12.001
full_text_status: none
publication: Journal of King Saud University - Science
volume: 31
number: 4
pagerange: 1499-1504
refereed: TRUE
issn: 10183647
citation:   Said Solaiman, O. and Abdul Karim, S.A. and Hashim, I.  (2019) Optimal fourth- and eighth-order of convergence derivative-free modifications of King's method.  Journal of King Saud University - Science, 31 (4).  pp. 1499-1504.  ISSN 10183647