Recurrence relations for the midpoint method.

  1. Ezquerro Fernández, José Antonio
  2. Salanova Martínez, Amparo
  3. Hernández Verón, Miguel Angel
Revista:
Tamkang Journal of Mathematics

ISSN: 0049-2930

Año de publicación: 2000

Volumen: 31

Páginas: 33-41

Tipo: Artículo

DOI: 10.5556/J.TKJM.31.2000.412 GOOGLE SCHOLAR lock_openAcceso abierto editor

Otras publicaciones en: Tamkang Journal of Mathematics

Repositorio institucional: lock_openAcceso abierto Editor

Resumen

Let F:D⊂X→Y be a twice Fréchet differentiable map with F′′ Lipschitz. The authors present a new convergence analysis and error estimates for the midpoint method in a Banach space for approximate solutions xn of Fx=0 by using Newton-Kantorovich type assumptions and a technique based on a new system of recurrence relations. The error bounds are better than those given by other authors