Qom University of TechnologyMathematics and Computational Sciences2717-27083120220201An optimal family of methods for obtaining the zero of nonlinear equation172424945510.30511/mcs.2022.541897.1048ENOghoveseOgbereyivweDepartment of mathematics and statistics, Faculty of science, Delta state University of science and technology, ozoro, Delta state, Nigeria.0000000198102299John ObatareEmunefeDepartment of General studies, Petroleum Training Institute, Effurun, Delta State, Nigeria.Journal Article20211031This manuscript presents a developed fourth-order iterative family<br />of methods for determining the zero of nonlinear equations that is<br />optimal in line with Kung-Traub conjecture. The family of methods<br />was constructed by using weight function technique. One iteration<br />cycle of any concrete member of the family of methods requires the<br />evaluation of three functions. Consequently, the efficiency index of any<br />concrete member of the family is 1.5873. The method convergence<br />analysis was carried out via the Taylor series technique and numerical<br />examples are provided to illustrate its performance as compared with<br />its contemporary existing methods for obtaining the zero of nonlinear<br />equation.http://mcs.qut.ac.ir/article_249455_fe13c71999008e1ad98af88a3954365a.pdf