چکیده (انگلیسی):

In this paper, we present a third-order family of Newton-like iteration methods for solving nonlinear equations. Methods that avoid computation of second-order derivatives and turn out to require, per iteration, one evaluation of the function and two evaluations involving its first derivative only. Analysis of this family of methods demonstrates that its iterative solution is cubically convergent. Numerical examples are given to illustrate the efficiency and good performance of these rather novel methods.