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Some projection methods for the approximation of implicit functions - MaRDI portal

Some projection methods for the approximation of implicit functions (Q756378)

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scientific article; zbMATH DE number 4191002
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Some projection methods for the approximation of implicit functions
scientific article; zbMATH DE number 4191002

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    Some projection methods for the approximation of implicit functions (English)
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    1990
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    The author approximates implicit functions by using a modification of the Newton-Kantorovich method which involves projection operators. His error estimates generalize those of \textit{F. A. Potra} and \textit{V. Pták} [Numer. Math. 34, 63-72 (1980; Zbl 0434.65034)] and of \textit{P. P. Zabrejko} and \textit{D. F. Nguen} [Numer. Funct. Anal. Optimization 9, 671- 684 (1987; Zbl 0627.65069)].
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    Banach space
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    implicit functions
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    Newton-Kantorovich method
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    projection operators
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    error estimates
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