Generating Function Approach to the Derivation of Higher-Order Iterative Methods for Solving Nonlinear Equations

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 sufficie...

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Bibliographic Details
Main Authors: Zhanlav Tugal, Chuluunbaatar Ochbadrakh, Ulziibayar Vandandoo
Format: Article
Language:English
Published: EDP Sciences 2018-01-01
Series:EPJ Web of Conferences
Online Access:https://doi.org/10.1051/epjconf/201817303024