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
Any de publicació: 2013
Volum: 64
Número: 4
Pàgines: 685-698
Tipus: Article
Altres publicacions en: Numerical Algorithms
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Resum
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.