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Third-order Newton-type methods combined with vector extrapolation for solving nonlinear systems - MaRDI portal

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Third-order Newton-type methods combined with vector extrapolation for solving nonlinear systems (Q1724500)

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scientific article; zbMATH DE number 7022698
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English
Third-order Newton-type methods combined with vector extrapolation for solving nonlinear systems
scientific article; zbMATH DE number 7022698

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    Third-order Newton-type methods combined with vector extrapolation for solving nonlinear systems (English)
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    14 February 2019
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    Summary: We present a third-order method for solving the systems of nonlinear equations. This method is a Newton-type scheme with the vector extrapolation. We establish the local and semilocal convergence of this method. Numerical results show that the composite method is more robust and efficient than a number of Newton-type methods with the other vector extrapolations.
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