A derivative-free iterative method for simultaneously computing an arbitrary number of zeros of nonlinear equations
A new two-point iterative method for solving nonlinear equations is presented. This is a derivative-free method for the simultaneous determination of several or all of the simple zeros. It is proved that the proposed method possesses a quadratic convergence locally. Numerical examples are given to illustrate the efficiency and performance of the method presented. (C) 2011 Elsevier Ltd. All rights reserved.
nonlinear equations root-finding methods simultaneous methods order of convergence