On a novel fourth-order algorithm for solving systems of nonlinear equations (Q1952772)

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scientific article; zbMATH DE number 6169852
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On a novel fourth-order algorithm for solving systems of nonlinear equations
scientific article; zbMATH DE number 6169852

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    On a novel fourth-order algorithm for solving systems of nonlinear equations (English)
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    3 June 2013
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    Summary: This paper focuses on solving systems of nonlinear equations numerically. We propose an efficient iterative scheme including two steps and fourth order of convergence. The proposed method does not require the evaluation of second- or higher-order Fréchet derivatives per iteration to proceed and to reach fourth-order of convergence. Finally, numerical results illustrate the efficiency of the method.
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    systems of nonlinear equations
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    iterative scheme
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    fourth order of convergence
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    numerical results
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