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Listar por palabra clave "Kung-Traub conjecture"

Mostrando ítems 1-5 de 5

A class of efficient high-order iterative methods with memory for nonlinear equations and their dynamics

Howk, Cory L.; Hueso, J.L.; Martínez Molada, Eulalia; Teruel-Ferragud, Carles (John Wiley & Sons, 2018)

[EN] In this paper we obtain some theoretical results about iterative methods with memory for nonlinear equations. The class of algorithms we consider focus on incorporating memory without increasing the computational cost ...
A stable class of modified Newton-like methods for multiple roots and their dynamics

Kansal, Munish; Cordero Barbero, Alicia; Torregrosa Sánchez, Juan Ramón; Bhalla, Sonia (Walter de Gruyter GmbH, 2020-10)

[EN] There have appeared in the literature a lot of optimal eighth-order iterative methods for approximating simple zeros of nonlinear functions. Although, the similar ideas can be extended for the case of multiple zeros ...
An eighth-order family of optimal multiple root finders and its dynamics

Behl, Ramandeep; Cordero Barbero, Alicia; Motsa, Sandile S.; Torregrosa Sánchez, Juan Ramón (Springer-Verlag, 2018)

[EN] There is a very small number of higher-order iteration functions for multiple zeros whose order of convergence is greater than four. Some scholars have tried to propose optimal eighth-order methods for multiple zeros. ...
Derivative-Free King's Scheme for Multiple Zeros of Nonlinear Functions

Behl, Ramandeep; Bhalla, Sonia; Martínez Molada, Eulalia; Alsulami, Majed Aali (MDPI AG, 2021-06)

[EN] There is no doubt that the fourth-order King's family is one of the important ones among its counterparts. However, it has two major problems: the first one is the calculation of the first-order derivative; secondly, ...
On improved three-step schemes with high efficiency index and their dynamics

Babajee, Diyashvir K. R.; Cordero Barbero, Alicia; Soleymani, Fazlollah; Torregrosa Sánchez, Juan Ramón (Springer Verlag, 2014-01)

This paper presents an improvement of the sixth-order method of Chun and Neta as a class of three-step iterations with optimal efficiency index, in the sense of Kung-Traub conjecture. Each member of the presented class ...