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A unified derivation of several error bounds for Newton's process - MaRDI portal

A unified derivation of several error bounds for Newton's process (Q1068524)

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scientific article; zbMATH DE number 3932317
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A unified derivation of several error bounds for Newton's process
scientific article; zbMATH DE number 3932317

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    A unified derivation of several error bounds for Newton's process (English)
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    1985
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    Die Arbeit liefert eine simultane Herleitung oberer und unterer Schranken für das Newton-Verfahren von \textit{G. Miel} [Computing 27, 237-244 (1981; Zbl 0451.65042)] sowie vier weiteren Autoren und eine Wertung derselben. Nach einem Überblick über Newton-Verfahren in partiell geordneten Räumen wird eine komponentenweise a posteriori Abschätzung dargestellt.
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    partially ordered space
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    Newton's method
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    error bounds
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    Kantorovich theorem
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    Banach space
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