Duality in polynomial models with some applications to geometric control theory

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extensions of some polynomial inequalities to the polar derivative

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Canonical duality theory is a potentially powerful methodology, which can be used to solve a wide class of discrete and continuous global optimization problems. This paper presents a brief review and recent developments of this theory with applications to some well-know problems including polynomial minimization, mixed integer and fractional programming, nonconvex minimization with nonconvex qu...

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Although a comprehensive framework for most of the theoretical foundations of duality has been available to economists since the seminal work by Shephard in 1953, empirical applications of duality have become popular mainly during the last ten years. The first empirical study which I am aware of that exploited duality theory is the one by Nerlove in 1963 which estimated a CobbDouglas cost funct...

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We use the anti-equivalence between Cohen-Macaulay complexes and coherent sheaves on formal schemes to shed light on some older results and prove new results. We bring out the relations between a coherent sheaf M satisfying an S2 condition and the lowest cohomology N of its “dual” complex. We show that if a scheme has a Gorenstein complex satisfying certain coherence conditions, then in a finit...

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ژورنال

عنوان ژورنال: IEEE Transactions on Automatic Control

سال: 1981

ISSN: 0018-9286

DOI: 10.1109/tac.1981.1102570