Local Convergence for a Fifth Order Traub-Steffensen-Chebyshev-Like Composition Free of Derivatives in Banach Space

作     者：Ioannis K.Argyros Santhosh George 

作者机构：Department of Mathematical SciencesCameron UniversityLawtonOK 73505USA Department of Mathematical and Computational SciencesNIT KarnatakaIndia 575025 

出 版 物：《Numerical Mathematics(Theory,Methods and Applications)》 (高等学校计算数学学报（英文版）)

年 卷 期：2018年第11卷第1期

页      面：160-168页

核心收录：

学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学] 

主　　题：Traub-Steffensen-Chebyshev-like composition restricted convergence domain radius of convergence local convergence 

摘      要：We present the local convergence analysis of a fifth order Traub-Steffensen-Chebyshev-like composition for solving nonlinear equations in Banach *** earlier studies,hypotheses on the Fréchet derivative up to the fifth order of the operator un-der consideration is used to prove the convergence order of the method although only divided differences of order one appear in the *** restricts the applicability of the *** this paper,we extended the applicability of the fifth order Traub-Steffensen-Chebyshev-like composition without using hypotheses on the derivatives of the operator *** convergence conditions are weaker than the conditions used in earlier *** examples where earlier results cannot apply to solve equa-tions but our results can apply are also given in this study.