A new family of multipoint methods of second order.
-
1
Universidad de La Rioja
info
ISSN: 0163-0563
Datum der Publikation: 1998
Ausgabe: 19
Nummer: 5
Seiten: 499-512
Art: Artikel
Andere Publikationen in: Numerical Functional Analysis and Optimization
Zusammenfassung
We introduce a new family of multipoint methods of R-order two to approximate a solution of nonlinear operators equation in Banach spaces. An existence-uniqueness theorem and error estimates are provided for this family of iterations using Newton-Kantorovich-type assumptions and a technique based on a new system of recurrence relations. For a special choice of the parameter involved, we obtain the Midpoint method, whose order of convergence is three.