Three New Iterative Methods for Solving Nonlinear Equations

In this paper, we present a family of new iterative methods for solving nonlinear equations based on Newtonʹs method. The order of convergence and corresponding error equations of the obtained iteration formulae are derived analytically and with the help of Maple. Some numerical examples are given to illustrate the efficiency of the presented methods, so one would be able to compare the results of the same problems obtained by applying different methods, and the advantage of the new methods can be recognized