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On accelerating Newton's method based on a conic model - MaRDI portal

On accelerating Newton's method based on a conic model (Q1118983)

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scientific article; zbMATH DE number 4096702
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On accelerating Newton's method based on a conic model
scientific article; zbMATH DE number 4096702

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    On accelerating Newton's method based on a conic model (English)
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    1989
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    For unconstrained minimization a method (not a numerical method) is discussed that utilizes a conic approximation model function given by \textit{W. C. Davidon} [SIAM J. Numer. Analysis 17, 268-281 (1980; Zbl 0424.65026)] and second-order derivative information in the same way that Newton's method. An accelerating of Newton's method is not proved.
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    unconstrained minimization
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    conic approximation
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    Newton's method
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