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

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

ISSN: 0210-3923

Datum der Publikation: 2002

Ausgabe: 42

Nummer: 3

Seiten: 519-530

Art: Artikel

Andere Publikationen in: B I T-(Boletin Informativo de Telecomunicacion)

Institutionelles Repository: lock_openOpen Access Editor

Zusammenfassung

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.