On iterative methods with accelerated convergence for solving systems of nonlinear equations.
- Ezquerro, J.A. 2
- Grau-Sánchez, M. 1
- Grau, A. 1
- Hernández, M.A. 2
- Noguera, M. 1
- Romero, N. 2
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1
Universitat Politècnica de Catalunya
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2
Universidad de La Rioja
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ISSN: 0022-3239
Year of publication: 2011
Volume: 151
Issue: 1
Pages: 163-174
Type: Article
More publications in: Journal of Optimization Theory and Applications
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Abstract
We present a modified method for solving nonlinear systems of equations with order of convergence higher than other competitive methods. We generalize also the efficiency index used in the one-dimensional case to several variables. Finally, we show some numerical examples, where the theoretical results obtained in this paper are applied. © 2011 Springer Science+Business Media, LLC.