On the efficiency of two variants of Kurchatov's method for solving nonlinear systems
- Ezquerro, J.A. 2
- Grau, A. 1
- Grau-Sánchez, M. 1
- Ángel Hernández, M. 2
-
1
Universitat Politècnica de Catalunya
info
-
2
Universidad de La Rioja
info
ISSN: 1017-1398
Année de publication: 2013
Volumen: 64
Número: 4
Pages: 685-698
Type: Article
D'autres publications dans: Numerical Algorithms
Projets liés
Résumé
We consider Kurchatov'smethod and construct two variants of this method for solving systems of nonlinear equations and deduce their local R-orders of convergence in a direct symbolic computation. We also propose a generalization to several variables of the efficiency used in the scalar case and analyse the efficiencies of the three methods when they are used to solve systems of nonlinear equations. © 2013 Springer Science+Business Media New York.