A note on a family of Newton type iterative methods

  1. Ezquerro, J.A. 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:
International Journal of Computer Mathematics

ISSN: 0020-7160

Ano de publicación: 1996

Volume: 62

Número: 3

Páxinas: 223-232

Tipo: Artigo

SCOPUS: 2-s2.0-0030368350 WoS: WOS:A1996WA96900007 GOOGLE SCHOLAR

Outras publicacións en: International Journal of Computer Mathematics

Resumo

In this paper, we study the convergence of a family of iteration methods to solve nonlinear equations in the complex plane. Two analysis of convergence are provided. We give a Kantorovich-type convergence theorem under mild differentiability conditions with error analysis.