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

Aldizkaria:
Journal of Computational and Applied Mathematics

ISSN: 0377-0427

Argitalpen urtea: 2000

Alea: 126

Zenbakia: 1-2

Orrialdeak: 131-143

Mota: Artikulua

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

Beste argitalpen batzuk: Journal of Computational and Applied Mathematics

Gordailu instituzionala: lock_openSarbide irekia Editor

Laburpena

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.