Iterative methods for simultaneous computing arbitrary number of multiple zeros of nonlinear equations

Abstract

In this work, we present two modifications of an earlier presented iterative method for solving nonlinear equations in the case of multiple zeros. The new methods are two-point, derivative free iterative methods for the simultaneous extraction of one or several of the multiple zeros. We prove that the presented methods have quadratic convergence locally. Some numerical results with various nonlinear equations are given.