Necessary conditions for an extremum

書誌事項

Necessary conditions for an extremum

B.N. Pshenichnyi ; translation edited by Lucien W. Neustadt ; translated by Karol Makows

(Monographs and textbooks in pure and applied mathematics, 4)

M. Dekker, 1971

タイトル別名

Neobkhodimye uslovii︠a︡ ėkstremuma

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注記

Translation of Neobkhodimye uslovii︠a︡ ėkstremuma

Bibliography: p. 201-225

Includes index

内容説明・目次

内容説明

This book presents a theory of necessary conditions for an extremum, including formal conditions for an extremum and computational methods. It states the general results of the theory and shows how these results can be particularized to specific problems.

目次

1. Introduction Elements of Functional Analysis and Convex Sets 2. Properties of Convex Functionals 3. Convex Programming in Banach Spaces 4. Quasi-Differentiable Functionals 5. Necessary Conditions for an Extremum in General Mathematical Programming Problems 6. Necessary Conditions for an Extremum in Concrete Problems

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