Improved local convergence of Newton's method under weak majorant condition

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

卷:236

Article

Argyros, Ioannis K.¹  Hilout, Said² 

[1] Cameron Univ, Dept Math Sci, Lawton, OK 73505 USA

[2] Univ Poitiers, Lab Math & Applicat, F-86962 Futuroscope, France

关键词: Newton's method;    Banach space;    Majorant condition;    Local convergence;    Radius of convergence;   

DOI  :  10.1016/j.cam.2011.10.021

来源: Elsevier

【 摘 要 】

We provide a local convergence analysis for Newton's method under a weak majorant condition in a Banach space setting. Our results provide under the same information a larger radius of convergence and tighter error estimates on the distances involved than before [14]. Special cases and numerical examples are also provided in this study. (C) 2011 Elsevier B.V. All rights reserved.

【 授权许可】

Free