Some novel Newton-type methods for solving nonlinear equations

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 t...

Full description

Bibliographic Details
Main Authors: Morteza Bisheh-Niasar, Abbas Saadatmandi
Format: Article
Language:English
Published: Sociedade Brasileira de Matemática 2019-02-01
Series:Boletim da Sociedade Paranaense de Matemática
Subjects:
Online Access:https://periodicos.uem.br/ojs/index.php/BSocParanMat/article/view/37351