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
Argitalpen urtea: 2013
Alea: 64
Zenbakia: 4
Orrialdeak: 685-698
Mota: Artikulua
Beste argitalpen batzuk: Numerical Algorithms
Lotura duten proiektuak
Laburpena
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.