Recurrence relations for the midpoint method.
ISSN: 0049-2930
Year of publication: 2000
Volume: 31
Pages: 33-41
Type: Article
More publications in: Tamkang Journal of Mathematics
Abstract
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