OICC Press International Journal of Mathematical Modelling & Computations 2228-6233 4 1 2014 03 21 A SIXTH ORDER METHOD FOR SOLVING NONLINEAR EQUATIONS 55 60 EN Farshid Mirzaee Malayer University Iran, Islamic Republic of Afsun Hamzeh Ireland Journal Article 2014 03 21 In this paper, we present a new iterative method with order of convergence eighth for solving nonlinear equations. Periteration this method requires three evaluations of the function and one evaluation of its first derivative. A general error analysis providing the eighth order of convergence is given. Several numerical examples are given to illustrate the efficiency and performance of the new method.