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.
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Communicated by Florian A. Potra.
This work was supported in part by the Spanish Ministry of Science and Innovation (MTM 2008-01952/MTM) and the Riojan Autonomous Community (Project Colabora 2009/04).
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Ezquerro, J.A., Grau-Sánchez, M., Grau, A. et al. On Iterative Methods with Accelerated Convergence for Solving Systems of Nonlinear Equations. J Optim Theory Appl 151, 163–174 (2011). https://doi.org/10.1007/s10957-011-9870-y
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DOI: https://doi.org/10.1007/s10957-011-9870-y