Indices of convexity and concavity. Application to Halley method.

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

    Universidad de La Rioja

    Logroño, España

    ROR https://ror.org/0553yr311

Revue:
Applied Mathematics and Computation

ISSN: 0096-3003

Année de publication: 1999

Volumen: 103

Número: 1

Pages: 27-49

Type: Article

SCOPUS: 2-s2.0-0039181891 WoS: WOS:000080468100003 GOOGLE SCHOLAR

D'autres publications dans: Applied Mathematics and Computation

Dépôt institutionnel: lock_openAccès ouvert Editor

Résumé

We define an index to measure the convexity of a convex function f at each point. We use this index to establish conditions on the convergence of the Halley method in the complex plane and in Banach spaces.