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

Revue:
Journal of Computational and Applied Mathematics

ISSN: 0377-0427

Année de publication: 2000

Volumen: 126

Número: 1-2

Pages: 131-143

Type: Article

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

D'autres publications dans: Journal of Computational and Applied Mathematics

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Résumé

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.