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

Journal:
Bulletin of the Australian Mathematical Society

ISSN: 0004-9727

Year of publication: 1997

Volume: 55

Issue: 1

Pages: 113-130

Type: Article

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

More publications in: Bulletin of the Australian Mathematical Society

Institutional repository: lock_openOpen access Editor

Abstract

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.