M. Heydari - Department of Mathematics, Yazd University, Yazd-IRAN.
G.B. Loghmani - Yazd Univ

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

Newtons method, Multiple roots, Iterative methods, Nonlinear equations, Order of convergence, Root-finding