Semilocal convergence of secant-like methods for differentiable and nondifferentiable operator equations
- Ezquerro, J.A. 2
- Grau-Sánchez, M. 1
- Hernández, M.A. 2
- Noguera, M. 1
-
1
Universitat Politècnica de Catalunya
info
-
2
Universidad de La Rioja
info
ISSN: 0022-247X
Datum der Publikation: 2013
Ausgabe: 398
Nummer: 1
Seiten: 100-112
Art: Artikel
Andere Publikationen in: Journal of Mathematical Analysis and Applications
Projekte im Zusammenhang
Zusammenfassung
From well-known secant-like methods, we observe that we can construct a new family of secant-like methods that includes the secant method and Kurchatov's method. We analyse the local orders of convergence and the efficiencies of the methods of the family and study the semilocal convergence for differentiable and nondifferentiable operators. Finally, we apply our results to conservative problems. © 2012 Elsevier Ltd.