ON THE FOUR-STEP ITERATIVE METHOD

In this paper, we propose a four-step iterative method, based on Heon Yun’ paper [J.H. Yun, A note on three-step iterative method for nonlinear equations, Appl. Math. Comput. 202 (2008) 401-405] for solving nonlinear equations and achieving much more exact results. It is shown that this iterative method has fifth-order convergence. Some numerical experiments are given to illustrate the performance of the four-step iterative method.