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Newton's method for a class of nonsmooth functions - MaRDI portal

Newton's method for a class of nonsmooth functions (Q1332551)

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scientific article; zbMATH DE number 627477
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Newton's method for a class of nonsmooth functions
scientific article; zbMATH DE number 627477

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    Newton's method for a class of nonsmooth functions (English)
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    31 August 1994
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    Extension of Newton's algorithm for finding zeros, to functional approximations (smooth) by variational inequalities in Hilbert spaces. Definition of point-based approximations. Convergence of the Newton process. Comparison with the Kantorovich convergence theorem.
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    nonsmooth functions
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    convergence
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    smooth approximations
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    Newton's algorithm
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    variational inequalities
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    Hilbert spaces
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    Kantorovich convergence theorem
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