a modification of chebyshev-halley method free from second derivatives for nonlinear equations
نویسندگان
چکیده
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.
منابع مشابه
A modification of Chebyshev-Halley method free from second derivatives for nonlinear equations
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 o...
متن کاملSome variants of Chebyshev-Halley methods free from second derivative
In this paper, we present some new variants of Chebyshev-Halley methods free from second derivative for solving nonlinear equation of the type f(x) = 0, and show that the convergence orders of the proposed methods are three or four. Several numerical examples are given to illustrate the efficiency and performance of the new methods.
متن کاملA uniparametric Chebyshev-type method free from second derivatives
In this paper, we present a family of new Chebyshev-type methods free from second derivatives for solving non-linear equations. Analysis of convergence shows that these new methods are cubically convergent. As particular cases, we introduce two efficient methods in this family of the new methods, the practical utility of which is demonstrated by numerical examples. 2005 Elsevier Inc. All rights...
متن کاملSome iterative methods free from second derivatives for nonlinear equations
In a recent paper, Noor [M. Aslam Noor, New classes of iterative methods for nonlinear equations, Appl. Math. Comput., 2007, doi:10.1016/j.amc:2007], suggested and analyzed a generalized one parameter Halley method for solving nonlinear equations using. In this paper, we modified this method which has fourth order convergence. As special cases, we obtain a family of third-order iterative method...
متن کاملPredictor-corrector Halley method for nonlinear equations
In this paper, we suggest and analyze a new two-step predictor–corrector type iterative methods for solving nonlinear equations of the type f(x) = 0 by using the technique of updating the solution. This method can be viewed as a predictor– corrector iterative Halley’s method. We also consider the convergence analysis of the proposed method. To illustrate the efficiency of this new method, we gi...
متن کاملA new modified Halley method without second derivatives for nonlinear equation
In a recent paper, Noor and Noor [K. Inayat Noor, M. Aslam Noor, Predictor–corrector Halley method for nonlinear equations, Appl. Math. Comput., in press, doi:10.1016/j.amc.11.023] have suggested and analyzed a predictor–corrector method Halley method for solving nonlinear equations. In this paper, we modified this method by using the finite difference scheme, which has a quintic convergence. W...
متن کاملمنابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
caspian journal of mathematical sciencesناشر: university of mazandaran
ISSN 1735-0611
دوره 3
شماره 1 2014
میزبانی شده توسط پلتفرم ابری doprax.com
copyright © 2015-2023