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

Any de publicació: 1996

Volum: 62

Número: 3

Pàgines: 223-232

Tipus: Article

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

Altres publicacions en: International Journal of Computer Mathematics

Resum

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.