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Two-step solver for nonlinear equations - MaRDI portal

Two-step solver for nonlinear equations (Q2003751)

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scientific article; zbMATH DE number 7078096
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Two-step solver for nonlinear equations
scientific article; zbMATH DE number 7078096

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    Two-step solver for nonlinear equations (English)
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    10 July 2019
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    Summary: In this paper we present a two-step solver for nonlinear equations with a nondifferentiable operator. This method is based on two methods of order of convergence \(1 + \sqrt{2}\). We study the local and a semilocal convergence using weaker conditions in order to extend the applicability of the solver. Finally, we present the numerical example that confirms the theoretical results.
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    nondifferentiable operator
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    nonlinear equation
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    divided difference
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    Lipschitz condition
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    convergence order
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    local and semilocal convergence
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