Improving the domain of parameters for Newton's method with applications*

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

卷:318

Article

Argyros, Ioannis K.¹  Alberto Magrenan, Angel²  Antonio Sicilia, Juan² 

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

[2] Univ Int La Rioja, Av Gran Via Rey Juan Carlos I,41, Logrorio 26002, La Rioja, Spain

关键词: Banach space;    Majorizing sequence;    Local/semilocal convergence;    Domain of parameters;   

DOI  :  10.1016/j.cam.2016.11.019

来源: Elsevier

【 摘 要 】

We present a new technique to improve the convergence domain for Newton's method both in the semilocal and local case. It turns out that with the new technique the sufficient convergence conditions for Newton's method are weaker, the error bounds are tighter and the information on the location of the solution is at least as precise as in earlier studies. Numerical examples are given showing that our results apply to solve nonlinear equations in cases where the old results cannot apply. (C) 2016 Elsevier B.V. All rights reserved.

【 授权许可】

Free