A new family of optimal fourth-order iterative methods for nonlinear equations

A new two-parameter family of fourth-order iterative methods for the numerical solution of nonlinear equations of the form f(x)=0has been introduced and their convergence analysis have been performed. The new methods in the family are optimal in the sense of Kung–Traub conjecture. Numerical tests wh...

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Bibliographic Details
Main Authors: Ahmet Yaşar Özban, Bahar Kaya
Format: Article
Language:English
Published: Elsevier 2022-09-01
Series:Results in Control and Optimization
Subjects:
Online Access:http://www.sciencedirect.com/science/article/pii/S2666720722000340