A family of Chebyshev-Halley type methods in Banach spaces

  1. Gutiérrez, J.M. 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:
Bulletin of the Australian Mathematical Society

ISSN: 0004-9727

Any de publicació: 1997

Volum: 55

Número: 1

Pàgines: 113-130

Tipus: Article

DOI: 10.1017/S0004972700030586 SCOPUS: 2-s2.0-0031064164 WoS: WOS:A1997WG06700011 GOOGLE SCHOLAR

Altres publicacions en: Bulletin of the Australian Mathematical Society

Repositori institucional: lock_openAccés obert Editor

Resum

A family of third-order iterative processes (that includes Chebyshev and Halley's methods) is studied in Banach spaces. Results on convergence and uniqueness of solution are given, as well as error estimates. This study allows us to compare the most famous third-order iterative processes.