• 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

    Toward a general theory of point to point iterative processes free of derivatives with quadratic convergence

    Autor: 
    Hernández-Verón, M A
    ;
    Magreñán, Á. Alberto (1)
    ;
    Rubio, María Jesús
    Fecha: 
    2018
    Palabra clave: 
    Scopus(2); WOS(2)
    Tipo de Ítem: 
    conferenceObject
    URI: 
    https://reunir.unir.net/handle/123456789/10527
    DOI: 
    https://doi.org/10.1063/1.5043942
    Dirección web: 
    https://aip.scitation.org/doi/abs/10.1063/1.5043942
    Resumen:
    In this work, we are concerned with the problem of developing a general theory about derivative-free iterative procedures with quadratic convergence. Newton's method is the most used, well-known and studied in order to approximate the solution of a nonlinear problem. However, Newton's method has the problem that the operator, whose root we intend to approximate, must be differentiable. Then, through the use of divided differences, we construct iterative processes that, while maintaining the efficiency of Newton's method, allow us to approach solutions of non-linear problems raised from non-differentiable operators. Thus, in this work, we construct derivative-free iterative processes.
    Descripción: 
    Ponencia de la conferencia "International Conference of Numerical Analysis and Applied Mathematics, ICNAAM 2017; The MET HotelThessaloniki; Greece; 25 September 2017 through 30 September 2017"
    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
    0
    0
    51
    40
    9
    Descargas
    0
    0
    0
    0
    0
    0
    0
    0
    0
    0
    0

    Ítems relacionados

    Mostrando ítems relacionados por Título, autor o materia.

    • Starting points for Newton’s method under a center Lipschitz condition for the second derivative 

      Ezquerro, J A; Hernández-Verón, M A; Magreñán, Á. Alberto (1) (Journal of Computational and Applied Mathematics, 03/2018)
      We analyze the semilocal convergence of Newton's method under a center Lipschitz condition for the second derivative of the operator involved different from that used by other authors until now. In particular, we propose ...
    • Extending the domain of starting points for Newton's method under conditions on the second derivative 

      Argyros, Ioannis K; Ezquerro, J A; Hernández-Verón, M A; Magreñán, Á. Alberto (1) (Journal of Computational and Applied Mathematics, 10/2018)
      In this paper, we propose a center Lipschitz condition for the second Frechet derivative together with the use of restricted domains in order to improve the domain of starting points for Newton's method. In addition, we ...
    • Convergence of Newton's method under Vertgeim conditions: new extensions using restricted convergence domains 

      Argyros, Ioannis K; Ezquerro, J A; Hernández-Verón, M A; Magreñán, Á. Alberto (1) (Journal of Mathematical Chemistry, 08/2017)
      We present new sufficient convergence conditions for the semilocal convergence of Newton’s method to a locally unique solution of a nonlinear equation in a Banach space. We use Hölder and center Hölder conditions, instead ...

    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