Some novel Newton-type methods for solving nonlinear equations

Autor:	Morteza Bisheh-Niasar, Abbas Saadatmandi
Jazyk:	English<br />Portuguese
Rok vydání:	2019
Předmět:	Nonlinear equation Newton’s method Order of convergence Efficiency index Iterative method Mathematics QA1-939
Zdroj:	Boletim da Sociedade Paranaense de Matemática, Vol 38, Iss 3 (2019)
Druh dokumentu:	article
ISSN:	0037-8712 2175-1188
DOI:	10.5269/bspm.v38i3.37351
Popis:	The aim of this paper is to present a new nonstandard Newton iterative method for solving nonlinear equations. The convergence of the proposed method is proved and it is shown that the new method has cubic convergence. Furthermore, two new multi-point methods with sixth-order convergence, based on the introduced method, are presented. Also, we describe the basins of attraction for these methods. Finally, some numerical examples are given to show the performance of our methods by comparing with some other methods available in the literature
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/1c430c50efa944a5aaa3517e45b5cc49 Zobrazit plný text záznamu View record in DOAJ