A new accelerating technique applied to a variant of Cordero-Torregrosa method

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

卷:330

Article

Wang, Xiaofeng¹ 

[1] Bohai Univ, Sch Math & Phys, Jinzhou 121013, Liaoning, Peoples R China

关键词: Iterative method with memory;    Self-accelerating parameter;    Root-finding;    Dynamical behavior;   

DOI  :  10.1016/j.cam.2017.07.003

来源: Elsevier

【 摘 要 】

In this paper, a new iterative method with memory is proposed for solving nonlinear equations. The new method is a variant of Cordero-Torregrosa method. More importantly, a new technique is applied to construct the self-accelerating parameter of the new method, which does not increase the computational costs. The new iterative method with memory reaches the order of convergence 2 + root 6 approximate to 4.4495. Numerical experiments confirm the theoretical results. (C) 2017 Elsevier B.V. All rights reserved.

【 授权许可】

Free