Year: 2015
Author: Zhengda Huang
Journal of Mathematical Study, Vol. 48 (2015), Iss. 1 : pp. 79–92
Abstract
The aim of this paper is to study the local convergence of the four order iteration of Euler's family for solving nonlinear operator equations. We get the optimal radius of the local convergence ball of the method for operators satisfying the weak third order generalized Lipschitz condition with L-average. We also show that the local convergence of the method is determined by a period 2 orbit of the method itself applied to a real function.
You do not have full access to this article.
Already a Subscriber? Sign in as an individual or via your institution
Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/jms.v48n1.15.06
Journal of Mathematical Study, Vol. 48 (2015), Iss. 1 : pp. 79–92
Published online: 2015-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 14
Keywords: Local convergence convergence ball period 2 orbit generalized Lipschitz condition.