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

Revista:
Journal of Computational and Applied Mathematics

ISSN: 0377-0427

Ano de publicación: 2000

Volume: 126

Número: 1-2

Páxinas: 131-143

Tipo: Artigo

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

Outras publicacións en: Journal of Computational and Applied Mathematics

Repositorio institucional: lock_openAcceso aberto Editor

Resumo

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.