How to solve nonlinear equations when a third order method is not applicable.

  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:
B I T-(Boletin Informativo de Telecomunicacion)

ISSN: 0210-3923

Any de publicació: 1999

Volum: 39

Número: 2

Pàgines: 255-269

Tipus: Article

SCOPUS: 2-s2.0-17144444621 WoS: WOS:000081188500004 GOOGLE SCHOLAR

Altres publicacions en: B I T-(Boletin Informativo de Telecomunicacion)

Repositori institucional: lock_openAccés obert Editor

Resum

In this paper, we use a one-parametric family of second-order iterations to solve a nonlinear operator equation in a Banach space. A Kantorovich-type convergence theorem is proved, so that the first Fréchet derivative of the operator satisfies a Lipschitz condition. We also give an explicit error bound.