• 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

    Enlarging the convergence domain of secant-like methods for equations

    Autor: 
    Argyros, Ioannis K
    ;
    Ezquerro, J A
    ;
    Hernández-Verón, M A
    ;
    Hilout, S
    ;
    Magreñán, Á. Alberto (1)
    Fecha: 
    04/2015
    Palabra clave: 
    secant-like methods; Newton's method; the secant method; majorizing sequence; semilocal convergence; divided difference operator; nonlinear equation; banach space; JCR
    Tipo de Ítem: 
    Articulo Revista Indexada
    URI: 
    https://reunir.unir.net/handle/123456789/5653
    Resumen:
    We present two new semilocal convergence analyses for secant-like methods in order to approximate a locally unique solution of a nonlinear equation in a Banach space setting. These methods include the secant, Newton's method and other popular methods as special cases. The convergence analysis is based on our idea of recurrent functions. Using more precise majorizing sequences than before we obtain weaker convergence criteria. These advantages are obtained because we use more precise estimates for the upper bounds on the norm of the inverse of the linear operators involved than in earlier studies. Numerical examples are given to illustrate the advantages of the new approaches.
    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
    46
    108
    55
    22
    10
    Descargas
    0
    0
    0
    0
    0
    0
    0
    0
    0
    0
    0

    Ítems relacionados

    Mostrando ítems relacionados por Título, autor o materia.

    • 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 ...
    • 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 ...

    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