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
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1
Universitat Politècnica de Catalunya
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2
Universidad de La Rioja
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ISSN: 1017-1398
Datum der Publikation: 2013
Ausgabe: 64
Nummer: 4
Seiten: 685-698
Art: Artikel
Andere Publikationen in: Numerical Algorithms
Projekte im Zusammenhang
Zusammenfassung
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.