Chebyshev method and convexity.

  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:
Applied Mathematics and Computation

ISSN: 0096-3003

Año de publicación: 1998

Volumen: 95

Número: 1

Páginas: 51-62

Tipo: Artículo

SCOPUS: 2-s2.0-0006008140 WoS: WOS:000074533200005 GOOGLE SCHOLAR

Otras publicaciones en: Applied Mathematics and Computation

Resumen

From convexity we obtain new convergence theorems for the Chebyshev method applied to a nonlinear scalar equation f(x) = 0. Moreover, Kantorovich type conditions for the convergence of the Chebyshev method in the complex plane are given. Finally, a new type of assumptions are considered to prove the convergence of this method in Banach spaces. © 1998 Elsevier Science Inc. All rights reserved.