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A New Fifth-Order Iterative Method for Finding MultipleRoots of Nonlinear EquationsDOI: 10.5923/j.ajcam.20120206.04 Keywords: Modified Newton Method, Root-Finding, Nonlinear Equations, Multiple Roots, Order of Convergence, Efficiency Index Abstract: In this paper, we present a fifth-order method for finding multiple 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, some numerical examples are given to show the performance of the presented method, and compared with some known methods.
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