On convergence of the accelerated Newton method under generalized Lipschitz conditions (Q2808374)

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scientific article; zbMATH DE number 6583984
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On convergence of the accelerated Newton method under generalized Lipschitz conditions
scientific article; zbMATH DE number 6583984

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    23 May 2016
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    nonlinear functional equation
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    accelerated Newton method
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    convergence
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    On convergence of the accelerated Newton method under generalized Lipschitz conditions (English)
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    In the paper local convergence of the accelerated Newton method for solution of nonlinear functional equations is investigated under generalized Lipschitz conditions for the first and second order derivatives. Quadratic order of convergence of the accelerated Newton method is determined. The method is compared with the classical Newton method.
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