یک اصلاح روش چبی شف – هالی، بدون مشتق دوم، برای معادلات غیر خطی

‎In this paper‎, ‎we present a new modification of Chebyshev-Halley‎ ‎method‎, ‎free from second derivatives‎, ‎to solve nonlinear equations‎. ‎The convergence analysis shows that our modification is third-order‎ ‎convergent‎. ‎Every iteration of this method requires one function and‎ ‎two first derivative evaluations‎. ‎So‎, ‎its efficiency index is‎ ‎$3^{1/3}=1.442$ that is better than that of Newton method‎. ‎Several‎ ‎numerical examples are given to illustrate the performance of the‎ ‎presented method‎.    

Keywords:

Chebyshev-Halley method , Newton method , Nonlinear equations , Third- order convergence