A biparametric extension of King’s fourth-order methods and their dynamics
Geum, Young Hee
Kim, Young Ik
Magreñán, Á. Alberto (UNIR)
Tipo de Ítem:Articulo Revista Indexada
A class of two-point quartic-order simple-zero finders and their dynamics are investigated in this paper by extending King’s fourth-order family of methods. With the introduction of an error corrector having a weight function dependent on a function-to-function ratio, higher-order convergence is obtained. Through a variety of test equations, numerical experiments strongly support the theory developed in this paper. In addition, relevant dynamics of the proposed methods is successfully explored for a prototype quadratic polynomial as well as parameter spaces and dynamical planes.
Este ítem aparece en la(s) siguiente(s) colección(es)
Mostrando ítems relacionados por Título, autor o materia.
Decision model for siting transport and logistic facilities in urban environments: A methodological approach Frailea, Alberto; Larrodé, Emilio; Magreñán, Á. Alberto (UNIR); Sicilia, Juan Antonio (UNIR) (Journal of Computational and Applied Mathematics, 01/2016)In this study, based on the use of a geographic information system (GIS), we define a decision model for determining the possible optimal locations of various facilities in an urban setting, which can be used by the transport ...
Argyros, Ioannis K; Magreñán, Á. Alberto (UNIR); Orcos, Lara (UNIR); Sicilia, Juan Antonio (UNIR) (Journal of Mathematical Chemistry, 08/2017)We present a local convergence analysis for a relaxed two-step Newton-like method. We use this method to approximate a solution of a nonlinear equation in a Banach space setting. Hypotheses on the first Fr,chet derivative ...
A variant of Steffensen-King's type family with accelerated sixth-order convergence and high efficiency index: Dynamic study and approach Lotfi, T; Magreñán, Á. Alberto (UNIR); Mahdiani, K; Rainer, J Javier (UNIR) (Applied Mathematics and Computation, 02/2015)First, it is attempted to derive an optimal derivative-free Steffensen-King's type family without memory for computing a simple zero of a nonlinear function with efficiency index 4(1/3) approximate to 1.587. Next, since ...