An Efficient Iterative Method With Order Of Convergence Seven for Nonlinear Equations

摘要

In this paper, we present a modified seventh-order convergent Newton-type method for solving nonlinear equations. It is free from second derivatives, and requires three evaluations of the functions and two evaluations of derivatives at each step. Therefore the efficiency index of the presented method is 1.47577 which is better than that of classical Newton's method 1.41421. Some numerical results demonstrate the efficiency and performance of the presented method.