On an application of Newton's Method to Nonlinear Operators with w-Conditioned Second Derivative.

  1. Ezquerro, J.A.
  2. Hernández, M.A.
  1. 1 Universidad de La Rioja
    info

    Universidad de La Rioja

    Logroño, España

    ROR https://ror.org/0553yr311

Revista:
B I T-(Boletin Informativo de Telecomunicacion)

ISSN: 0210-3923

Año de publicación: 2002

Volumen: 42

Número: 3

Páginas: 519-530

Tipo: Artículo

SCOPUS: 2-s2.0-0042735343 WoS: WOS:000177846900005 GOOGLE SCHOLAR

Otras publicaciones en: B I T-(Boletin Informativo de Telecomunicacion)

Repositorio institucional: lock_openAcceso abierto Editor

Resumen

We present a new approach to study the convergence of Newton's method in Banach spaces, which relax the conditions appearing in the usual studies. The approach is based on the bound required for the second derivative of the operator involved. An application to a nonlinear integral equation is presented.