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

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

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Article ID: iaor20119973
Volume: 151
Issue: 1
Start Page Number: 163
End Page Number: 174
Publication Date: Oct 2011
Journal: Journal of Optimization Theory and Applications
Authors: , , , , ,
Keywords: programming: nonlinear
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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