On the accessibility of Newton's method under a Hölder condition on the first derivative

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

    Universidad de La Rioja

    Logroño, España

    ROR https://ror.org/0553yr311

Zeitschrift:
Algorithms

ISSN: 1999-4893

Datum der Publikation: 2015

Ausgabe: 8

Nummer: 3

Seiten: 514-528

Art: Artikel

DOI: 10.3390/A8030514 SCOPUS: 2-s2.0-84944067943 WoS: WOS:000364150500011 GOOGLE SCHOLAR lock_openOpen Access editor

Andere Publikationen in: Algorithms

Institutionelles Repository: lock_openOpen Access Editor

Projekte im Zusammenhang

Ecuaciones no lineales y métodos iterativos. Aplicaciones a problemas de optimización y ecuaciones matriciales. Nonlinear equations and iterative methods. Applications to optimization problems and matrix equations.

2015/00069/001

Zusammenfassung

We see how we can improve the accessibility of Newton's method for approximating a solution of a nonlinear equation in Banach spaces when a center Hölder condition on the first derivative is used to prove its semi-local convergence. © 2015 by the authors.