  We present relations between some recently proposed methods for the solution
of a nonlinear system of equations. In particular, we review the Shamanskii's m
method, that is an iterative method derived from Newton's method that converge
with order m+1. We discuss efficient implementation of this method via matrix
factorization and some relevant properties. We believe that recent developments
in the research of solutions of systems of equations did not take sufficiently
into account this method. The hope, with this paper, is to encourage the entire
community to remember this simple method and use it for comparison when new
methods are introduced.
  This work is dedicated to Prof. Elvira Russo: a very special teacher.
