TY  - JOUR
VL  - 31
Y1  - 2019///
AV  - none
SP  - 1499
PB  - Elsevier B.V.
A1  - Said Solaiman, O.
A1  - Abdul Karim, S.A.
A1  - Hashim, I.
UR  - https://www.scopus.com/inward/record.uri?eid=2-s2.0-85057957375&doi=10.1016%2fj.jksus.2018.12.001&partnerID=40&md5=a70f1e060da4974c0d21debf73e325a0
EP  - 1504
ID  - scholars11301
N2  - 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
TI  - Optimal fourth- and eighth-order of convergence derivative-free modifications of King's method
N1  - cited By 14
IS  - 4
JF  - Journal of King Saud University - Science
SN  - 10183647
ER  -