Recurrence relations for the midpoint method.

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

ISSN: 0049-2930

Argitalpen urtea: 2000

Alea: 31

Orrialdeak: 33-41

Mota: Artikulua

DOI: 10.5556/J.TKJM.31.2000.412 GOOGLE SCHOLAR lock_openSarbide irekia editor

Beste argitalpen batzuk: Tamkang Journal of Mathematics

Gordailu instituzionala: lock_openSarbide irekia Editor

Laburpena

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