Dynamics of a higher-order family of iterative methods

  1. Honorato, G. 1
  2. Plaza, S. 1
  3. Romero, N. 2
  1. 1 Universidad de Santiago de Chile
    info

    Universidad de Santiago de Chile

    Santiago de Chile, Chile

    ROR https://ror.org/02ma57s91

  2. 2 Universidad de La Rioja
    info

    Universidad de La Rioja

    Logroño, España

    ROR https://ror.org/0553yr311

Aldizkaria:
Journal of Complexity

ISSN: 0885-064X

Argitalpen urtea: 2011

Alea: 27

Zenbakia: 2

Orrialdeak: 221-229

Mota: Artikulua

DOI: 10.1016/J.JCO.2010.10.005 SCOPUS: 2-s2.0-79952454846 GOOGLE SCHOLAR

Beste argitalpen batzuk: Journal of Complexity

Gordailu instituzionala: lock_openSarbide irekia Editor

Lotura duten proiektuak

Regiones de accesibilidad y optimización de procesos iterativos para resolver ecuaciones no lineales. Aplicaciones

2009/00009/001

Laburpena

We study the dynamics of a higher-order family of iterative methods for solving non-linear equations. We show that these iterative root-finding methods are generally convergent when extracting radicals. We examine the Julia sets of these methods with particular polynomials. The examination takes place in the complex plane. © 2010 Elsevier Inc. All rights reserved.