THIRD-ORDER AND FOURTH-ORDER ITERATIVE METHODS FREE FROM SECOND DERIVATIVE FOR FINDING MULTIPLE ROOTS OF NONLINEAR EQUATIONS

Abstract

In this paper, we present two new families of third-order and fourth-order methods for finding <br />multiple roots of nonlinear equations. Each of them requires one evaluation of the function and <br />two of its first derivative per iteration. Several numerical examples are given to illustrate the <br />performance of the presented methods.