A New Fifth-Order Iterative Method for Finding MultipleRoots of Nonlinear Equations

Abstract

In th is paper, we present a fifth-order method for find ing mult iple zeros of nonlinear equations. Per iteration, the new method requires two evaluations of functions and two of its first derivative. It is proved that the method has a convergence of order five. Finally, som e nu merical examp les are g iven to show the performance of the presented method, and compared with some known methods.