Thumbnail
Access Restriction
Open

Author Zhanlav, Tugal ♦ Chuluunbaatar, Ochbadrakh ♦ Ulziibayar, Vandandoo
Source Paperity
Content type Text
File Format PDF ♦ HTM / HTML
Copyright Year ©2018
Abstract In this paper we propose a generating function method for constructing new two and three-point iterations with p (p = 4, 8) order of convergence. This approach allows us to derive a new family of optimal order iterative methods that include well known methods as special cases. Necessary and sufficient conditions for p-th (p = 4, 8) order convergence of the proposed iterations are given in terms of parameters τn and αn. We also propose some generating functions for τn and αn. We develop a unified representation of all optimal eighth-order methods. The order of convergence of the proposed methods is confirmed by numerical experiments.
Learning Resource Type Article
Publisher Date 2018-01-01
Journal EPJ Web of Conferences
Issue Number 173