Modification of the Kantorovich assumptions for semilocal convergence of the Chebyshev method.

  1. Hernández, M.A. 1
  2. Salanova, M.A. 1
  1. 1 Universidad de La Rioja
    info

    Universidad de La Rioja

    Logroño, España

    ROR https://ror.org/0553yr311

Zeitschrift:
Journal of Computational and Applied Mathematics

ISSN: 0377-0427

Datum der Publikation: 2000

Ausgabe: 126

Nummer: 1-2

Seiten: 131-143

Art: Artikel

DOI: 10.1016/S0377-0427(99)00347-7 SCOPUS: 2-s2.0-17444444052 WoS: WOS:000166374800008 GOOGLE SCHOLAR

Andere Publikationen in: Journal of Computational and Applied Mathematics

Institutionelles Repository: lock_openOpen Access Editor

Zusammenfassung

This study obtains two semilocal convergence results for the well-known Chebyshev method, which is a third-order iterative process. The hypotheses required are modifications to the normal Kantorovich ones. The results obtained are applied to the reduction of nonlinear integral equations of the Fredholm type and first kind.