A Class of Iterative Methods for Solving Nonlinear Equations with Optimal Fourth-order Convergence
نویسنده
چکیده
In this paper we construct a new third-order iterative method for solving nonlinear equations for simple roots by using inverse function theorem. After that a class of optimal fourth-order methods by using one function and two first derivative evaluations per full cycle is given which is obtained by improving the existing third-order method with help of weight function. Some physical examples are given to illustrate the efficiency and performance of our methods.
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