Solving a nonlinear equation by a uniparametric family of iterative methods

  1. Ezquerro, J.A. 1
  2. Gutiérrez, J.M. 1
  3. 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: 1998

Volum: 68

Número: 3

Pàgines: 301-308

Tipus: Article

SCOPUS: 2-s2.0-0031606554 WoS: WOS:000074210500009 GOOGLE SCHOLAR

Altres publicacions en: International Journal of Computer Mathematics

Resum

In this study, we introduce a family of third-order iterative methods, cited in [4], for solving a nonlinear equation f(x) = 0. First we provide a convergence analysis for a real function depending of one real parameter α∈c R. Next it is proved that we can always apply a method of this family to solve f(x) = 0.