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Field name	Details
Dewey Class	519.6
Title	Conjugate Duality in Convex Optimization ([Ebook]) / by Radu Ioan Bot.
Author	Bot, Radu Ioan
Other name(s)	SpringerLink (Online service)
Publication	Berlin, Heidelberg : Springer , 2010.
Physical Details	XII, 164 pages : online resource.
Series	Lecture notes in economics and mathematical systems 0075-8442 ; ; 637
ISBN	9783642049002
Summary Note	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.:
Contents note	Introduction -- Pertubation Functions and Dual Problems -- Moreau-Rockafellar Formulae and Closedness-Type Regularity Conditions -- Biconjugate Functions -- Strong and Total Conjugate Duality -- Unconventional Fenchel Duality -- Applications of the Duality to Monotone Operators.
System details note	Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users).
Internet Site	http://dx.doi.org/10.1007/978-3-642-04900-2
Links to Related Works	Subject References: Analysis . Global analysis (Mathematics) . Mathematical analysis . Mathematical optimization . Operations research . Operations research, mathematical programming . Operations Research/Decision Theory . Optimization . Systems theory . Systems Theory, Control . Authors: Bot, Radu Ioan . Corporate Authors: SpringerLink (Online service) . Series: Lecture notes in economics and mathematical systems . Classification: 519.6 . 519.6 (DDC 23) .

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Conjugate Duality in Convex Optimization

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