On a generalization of the Steffensen method on banach spaces
- Amat, S. 1
- Ezquerro, J.A. 2
- Hernández-Verón, M.A. 2
- Magreñán, Á.A. 2
-
1
Universidad Politécnica de Cartagena
info
-
2
Universidad de La Rioja
info
ISSN: 1759-3433
Año de publicación: 2014
Volumen: 105
Tipo: Artículo
Otras publicaciones en: Civil-Comp Proceedings
Resumen
We consider a new Steffensen-like iterative method with better applicability than the classical Steffensen method. We analyse the semilocal convergence of this method by means of the majorant principle of Kantorovich. We see that the convergence conditions considered are reduced to the conditions usually imposed on the classical Steffensen method when the new method is reduced to the classical Steffensen method. © Civil-Comp Press, 2014.