On Iterative Methods with Accelerated Convergence for Solving Systems of Nonlinear Equations

J. A. Ezquerro (), M. Grau-Sánchez (), A. Grau (), M. A. Hernández (), M. Noguera () and N. Romero ()
Additional contact information
J. A. Ezquerro: University of La Rioja
M. Grau-Sánchez: Technical University of Catalonia
A. Grau: Technical University of Catalonia
M. A. Hernández: University of La Rioja
M. Noguera: Technical University of Catalonia
N. Romero: University of La Rioja

Journal of Optimization Theory and Applications, 2011, vol. 151, issue 1, No 10, 163-174

Abstract: 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.

Keywords: Nonlinear systems; Iterative method; Order of convergence; Computational efficiency (search for similar items in EconPapers)
Date: 2011
References: View complete reference list from CitEc
Citations: View citations in EconPapers (3)

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DOI: 10.1007/s10957-011-9870-y

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