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＜電子ブック＞
Conjugate Duality in Convex Optimization / by Radu Ioan Bot
(Lecture Notes in Economics and Mathematical Systems. ISSN:21969957 ; 637)

版	1st ed. 2010.
出版者	(Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer)
出版年	2010
本文言語	英語
大きさ	XII, 164 p : online resource
著者標目	*Bot, Radu Ioan author SpringerLink (Online service)
件　名	LCSH:Operations research LCSH:Management science LCSH:Mathematical optimization LCSH:System theory LCSH:Control theory LCSH:Mathematical analysis FREE:Operations Research, Management Science FREE:Operations Research and Decision Theory FREE:Optimization FREE:Systems Theory, Control FREE:Analysis
一般注記	Perturbation Functions and Dual Problems -- Moreau#x2013;Rockafellar Formulae and Closedness-Type Regularity Conditions -- Biconjugate Functions -- Strong and Total Conjugate Duality -- Unconventional Fenchel Duality -- Applications of the Duality to Monotone Operators This book presents new achievements and results in the theory of conjugate duality for convex optimization problems. The perturbation approach for attaching a dual problem to a primal one makes the object of a preliminary chapter, where also an overview of the classical generalized interior point regularity conditions is given. A central role in the book is played by the formulation of generalized Moreau-Rockafellar formulae and closedness-type conditions, the latter constituting a new class of regularity conditions, in many situations with a wider applicability than the generalized interior point ones. The reader also receives deep insights into biconjugate calculus for convex functions, the relations between different existing strong duality notions, but also into several unconventional Fenchel duality topics. The final part of the book is consecrated to the applications of the convex duality theory in the field of monotone operators HTTP:URL=https://doi.org/10.1007/978-3-642-04900-2

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