• Mi Re-Unir
    Búsqueda Avanzada
    JavaScript is disabled for your browser. Some features of this site may not work without it.
    Ver ítem 
    •   Inicio
    • RESULTADOS DE INVESTIGACIÓN
    • Artículos Científicos WOS y SCOPUS
    • Ver ítem
    •   Inicio
    • RESULTADOS DE INVESTIGACIÓN
    • Artículos Científicos WOS y SCOPUS
    • Ver ítem

    A first overview on the real dynamics of Chebyshev's method

    Autor: 
    García-Olivo, Martín
    ;
    Gutiérrez, José M
    ;
    Magreñán, Á. Alberto (1)
    Fecha: 
    07/2017
    Palabra clave: 
    Chebyshev’s method; nonlinear equations; iterative methods; real dynamics; JCR; Scopus
    Tipo de Ítem: 
    Articulo Revista Indexada
    URI: 
    https://reunir.unir.net/handle/123456789/5326
    DOI: 
    https://doi.org/10.1016/j.cam.2016.02.040
    Dirección web: 
    http://www.sciencedirect.com/science/article/pii/S0377042716300966?via%3Dihub#!
    Resumen:
    In this paper we explore some properties of the well known root-finding Chebyshev’s method applied to polynomials defined on the real field. In particular we are interested in showing the existence of extraneous fixed points, that is fixed points of the iteration map that are not root of the considered polynomial. The existence of such extraneous fixed points is a specific property in the dynamical study of Chebyshev’s method that does not happen in other known iterative methods as Newton’s or Halley’s methods. In addition, in this work we consider other dynamical aspects of the method as, for instance, the Feigenbaum bifurcation diagrams or the parameter plane.
    Mostrar el registro completo del ítem
    Este ítem aparece en la(s) siguiente(s) colección(es)
    • Artículos Científicos WOS y SCOPUS

    Estadísticas de uso

    Año
    2012
    2013
    2014
    2015
    2016
    2017
    2018
    2019
    2020
    2021
    2022
    Vistas
    0
    0
    0
    0
    0
    0
    86
    167
    60
    44
    18
    Descargas
    0
    0
    0
    0
    0
    0
    0
    0
    0
    0
    0

    Ítems relacionados

    Mostrando ítems relacionados por Título, autor o materia.

    • On the behavior of chebyshev's method applied to cubic polynomials 

      Magreñán, Á. Alberto (1); García-Olivo, Martín; Gutiérrez, José M (Civil-Comp Proceedings, 2014)
      This paper shows the dynamical behavior of the well-known Chebyshev method when it is applied to cubic polynomials. We present the scaling theorem associated to the method and we study the real dynamics of the method. The ...
    • A complex dynamical approach of Chebyshev’s method 

      García-Olivo, Martín; Gutiérrez, José M; Magreñán, Á. Alberto (1) (SeMA Journal, 11/2015)
      The aim of this paper is to investigate the iterative root-finding Chebyshev’s method from a dynamical perspective. We analyze the behavior of the method applied to low degree polynomials. In this work we focus on the ...
    • Real qualitative behavior of a fourth-order family of iterative methods by using the convergence plane 

      Magreñán, Á. Alberto (1); Cordero, Alicia; Gutiérrez, José M; Torregrosa, Juan Ramón (Mathematics and Computers in Simulation, 11/2014)
      The real dynamics of a family of fourth-order iterative methods is studied when it is applied on quadratic polynomials. A Scaling Theorem is obtained and the conjugacy classes are analyzed. The convergence plane is used ...

    Mi cuenta

    AccederRegistrar

    ¿necesitas ayuda?

    Manual de UsuarioAutorización TFG-M

    Listar

    todo Re-UnirComunidades y coleccionesPor fecha de publicaciónAutoresTítulosPalabras claveTipo documentoTipo de accesoEsta colecciónPor fecha de publicaciónAutoresTítulosPalabras claveTipo documentoTipo de acceso






    Aviso Legal Política de Privacidad Política de Cookies Cláusulas legales RGPD
    © UNIR - Universidad Internacional de La Rioja
     
    Aviso Legal Política de Privacidad Política de Cookies Cláusulas legales RGPD
    © UNIR - Universidad Internacional de La Rioja