An Iterative Method with Six-Order Convergence for Solving Nonlinear Equations

Modifi cation of Newtons method with higher-order convergence is presented.The modifi cation of Newtons method is based on Front n is three-order method The new method requires two-step per iteration. Analysis of convergence demonstrates that the order of convergence is 6. Some numerical examples illustrate that the algorithm is more effi cient and performs better than classical Newtons method and other methods.