Finite dimensional convexity and optimization
著者
書誌事項
Finite dimensional convexity and optimization
(Studies in economic theory, 13)
Springer-Verlag, c2001
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注記
Includes bibliographical references (p. [147]-150) and index
内容説明・目次
内容説明
This book discusses convex analysis, the basic underlying structure of argumentation in economic theory. Convex analysis is also common to the optimization of problems encountered in many applications. The text is aimed at senior undergraduate students, graduate students, and specialists of mathematical programming who are undertaking research into applied mathematics and economics. The text consists of a systematic development in eight chapters, and contains exercises. The book is appropriate as a class text or for self-study.
目次
Convexity in Rn.- Separation and Polarity.- Extremal Structure of Convex Sets.- Linear Programming.- Convex Functions.- Differential Theory of Convex Functions.- Convex Optimization With Convex Constraints.- Non Convex Optimization.- Appendix.
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