مشخصات پژوهش

عنوان	A modication of Chebyshev-Halley method free from second derivatives for nonlinear equations
نوع پژوهش	مقاله چاپ‌شده در مجلات علمی
کلیدواژه‌ها	Chebyshev-Halley method; Newton method; Nonlinear equations; Thirdorder convergence
چکیده	In this paper, we present a new modifcation of Chebyshev-Halley method, free from second derivatives, to solve nonlinear equations. The convergence analysis shows that our modifcation is third-order convergent. Every iteration of this method requires one function and two first derivative evaluations. So, its effciency 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.
پژوهشگران	حمید اسمعیلی (نفر اول)، مجید رستمی (نفر دوم)