Some efficient derivative -free iterative methods for solving nonlinear equations

In this paper, we suggest and analyze some new iterative methods for solving nonlinear equations. By using suitable transformations, we remove the derivatives of the function and obtain some derivative-free family of Halley and Householder type iterative methods. We also give several examples to illustrate the efficiency of these methods. Comparison with other similar method is also given. These new methods can be considered as alternative to the developed derivative-free methods. This technique can be used to suggest a wide class of new iterative methods for solving nonlinear equations.