A generalization of the Kantorovich type assumptions for Halley's method

  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

Zeitschrift:
International Journal of Computer Mathematics

ISSN: 0020-7160

Datum der Publikation: 2007

Ausgabe: 84

Nummer: 12

Seiten: 1771-1779

Art: Artikel

DOI: 10.1080/00207160701331335 SCOPUS: 2-s2.0-36349002174 WoS: WOS:000251144500006 GOOGLE SCHOLAR

Andere Publikationen in: International Journal of Computer Mathematics

Projekte im Zusammenhang

Diferentes tipos de condiciones iniciales para la convergencia semilocal en la aproximación de ceros de operadores no lineales. Aplicaciones.

2005/00064/001

Zusammenfassung

For the Halley method, we generalize the usual Kantorovich type assumptions, from which an iterative process of R-order three is convergent, so that the corresponding convergence analysis can be applied to a larger number of equations. We present an example consisting of a nonlinear integral equation where the method is applied.