On the efficiency of two variants of Kurchatov’s method for solving nonlinear systems

On the efficiency of two variants of Kurchatov’s method for solving nonlinear systems

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Article ID: iaor2014210
Volume: 64
Issue: 4
Start Page Number: 685
End Page Number: 698
Publication Date: Dec 2013
Journal: Numerical Algorithms
Authors: , , ,
Abstract:

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.

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