On the R-order of convergence of Newton's method under mild differentiability conditions.

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

    Universidad de La Rioja

    Logroño, España

    ROR https://ror.org/0553yr311

Revue:
Journal of Computational and Applied Mathematics

ISSN: 0377-0427

Année de publication: 2006

Volumen: 197

Número: 1

Pages: 53-61

Type: Article

DOI: 10.1016/J.CAM.2005.10.023 SCOPUS: 2-s2.0-33746808688 WoS: WOS:000240787300005 GOOGLE SCHOLAR

D'autres publications dans: Journal of Computational and Applied Mathematics

Dépôt institutionnel: lock_openAccès ouvert Editor

Projets liés

Diferentes tipos de condiciones iniciales para la convergencia semilocal en la aproximación de ceros de operadores no lineales. Aplicaciones.

2005/00064/001

Résumé

A new technique is used instead of the classical majorant principle to analyze the R-order of convergence of the Newton process when more general conditions than the Kantorovich ones are considered. © 2005 Elsevier B.V. All rights reserved.