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

Revista:
Applied Mathematics and Computation

ISSN: 0096-3003

Any de publicació: 1999

Volum: 103

Número: 1

Pàgines: 27-49

Tipus: Article

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

Altres publicacions en: Applied Mathematics and Computation

Repositori institucional: lock_openAccés obert Editor

Resum

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.