@article{scholars11301,
          volume = {31},
       publisher = {Elsevier B.V.},
             doi = {10.1016/j.jksus.2018.12.001},
           pages = {1499--1504},
           title = {Optimal fourth- and eighth-order of convergence derivative-free modifications of King's method},
            note = {cited By 14},
            year = {2019},
          number = {4},
         journal = {Journal of King Saud University - Science},
        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. {\^A}{\copyright} 2018 The Authors},
          author = {Said Solaiman, O. and Abdul Karim, S. A. and Hashim, I.},
            issn = {10183647},
             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}
}