Recurrence relations for the midpoint method.
ISSN: 0049-2930
Any de publicació: 2000
Volum: 31
Pàgines: 33-41
Tipus: Article
Altres publicacions en: Tamkang Journal of Mathematics
Resum
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