On a convex acceleration of Newton's method

  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

Revista:
Journal of Optimization Theory and Applications

ISSN: 0022-3239

Año de publicación: 1999

Volumen: 106

Número: 1

Páginas: 311-326

Tipo: Artículo

DOI: 10.1023/A:1021730118905 SCOPUS: 2-s2.0-0033632741 WoS: WOS:000079311200004 GOOGLE SCHOLAR lock_openAcceso abierto editor

Otras publicaciones en: Journal of Optimization Theory and Applications

Repositorio institucional: lock_openAcceso abierto Editor

Resumen

In this study, we use a convex acceleration of Newton's method (or super-Halley method) to approximate solutions of nonlinear equations. We provide sufficient convergence conditions for this method in three space settings: real line, complex plane, and Banach space. Several applications of our results are also provided.