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
Any de publicació: 2013
Volum: 398
Número: 1
Pàgines: 100-112
Tipus: Article
Altres publicacions en: Journal of Mathematical Analysis and Applications
Projectes relacionats
Resum
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.