The Resource Conjugate duality in convex optimization, Radu Ioan Bot
Conjugate duality in convex optimization, Radu Ioan Bot
Resource Information
The item Conjugate duality in convex optimization, Radu Ioan Bot represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Missouri Libraries.This item is available to borrow from 1 library branch.
Resource Information
The item Conjugate duality in convex optimization, Radu Ioan Bot represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Missouri Libraries.
This item is available to borrow from 1 library branch.
 Summary
 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 MoreauRockafellar formulae and closednesstype 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
 Language
 eng
 Extent
 1 online resource (xii, 164 pages).
 Contents

 I. Perturbation functions and dual problems
 II. MoreauRockafellar formulae and Closednesstype regularity conditions
 III. Biconjugate functions
 IV. Strong and total conjugate duality
 V. Unconventional Fenchel duality
 VI. Applications of the duality to monotone operators
 Isbn
 9783642049002
 Label
 Conjugate duality in convex optimization
 Title
 Conjugate duality in convex optimization
 Statement of responsibility
 Radu Ioan Bot
 Subject

 Convex functions
 Convex functions
 Duality theory (Mathematics)
 Duality theory (Mathematics)
 Duality theory (Mathematics)
 MATHEMATICS  Functional Analysis
 Mathematical optimization
 Mathematical optimization
 Mathematical optimization
 Monotone operators
 Monotone operators
 Monotone operators
 Convex functions
 Language
 eng
 Summary
 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 MoreauRockafellar formulae and closednesstype 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
 Cataloging source
 GW5XE
 http://library.link/vocab/creatorDate
 1976
 http://library.link/vocab/creatorName
 Boţ, Radu Ioan
 Dewey number
 515.782
 Index
 index present
 LC call number
 QA402.5
 LC item number
 .B68 2010
 Literary form
 non fiction
 Nature of contents

 dictionaries
 bibliography
 Series statement
 Lecture notes in economics and mathematical systems
 Series volume
 637
 http://library.link/vocab/subjectName

 Mathematical optimization
 Duality theory (Mathematics)
 Convex functions
 Monotone operators
 MATHEMATICS
 Convex functions
 Duality theory (Mathematics)
 Mathematical optimization
 Monotone operators
 Label
 Conjugate duality in convex optimization, Radu Ioan Bot
 Bibliography note
 Includes bibliographical references and index
 Carrier category
 online resource
 Carrier category code

 cr
 Carrier MARC source
 rdacarrier
 Color
 multicolored
 Content category
 text
 Content type code

 txt
 Content type MARC source
 rdacontent
 Contents
 I. Perturbation functions and dual problems  II. MoreauRockafellar formulae and Closednesstype regularity conditions  III. Biconjugate functions  IV. Strong and total conjugate duality  V. Unconventional Fenchel duality  VI. Applications of the duality to monotone operators
 Control code
 567353779
 Dimensions
 unknown
 Extent
 1 online resource (xii, 164 pages).
 Form of item
 online
 Isbn
 9783642049002
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code

 c
 Other control number
 10.1007/9783642049002
 http://library.link/vocab/ext/overdrive/overdriveId
 9783642048999
 Specific material designation
 remote
 System control number
 (OCoLC)567353779
 Label
 Conjugate duality in convex optimization, Radu Ioan Bot
 Bibliography note
 Includes bibliographical references and index
 Carrier category
 online resource
 Carrier category code

 cr
 Carrier MARC source
 rdacarrier
 Color
 multicolored
 Content category
 text
 Content type code

 txt
 Content type MARC source
 rdacontent
 Contents
 I. Perturbation functions and dual problems  II. MoreauRockafellar formulae and Closednesstype regularity conditions  III. Biconjugate functions  IV. Strong and total conjugate duality  V. Unconventional Fenchel duality  VI. Applications of the duality to monotone operators
 Control code
 567353779
 Dimensions
 unknown
 Extent
 1 online resource (xii, 164 pages).
 Form of item
 online
 Isbn
 9783642049002
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code

 c
 Other control number
 10.1007/9783642049002
 http://library.link/vocab/ext/overdrive/overdriveId
 9783642048999
 Specific material designation
 remote
 System control number
 (OCoLC)567353779
Subject
 Convex functions
 Convex functions
 Duality theory (Mathematics)
 Duality theory (Mathematics)
 Duality theory (Mathematics)
 MATHEMATICS  Functional Analysis
 Mathematical optimization
 Mathematical optimization
 Mathematical optimization
 Monotone operators
 Monotone operators
 Monotone operators
 Convex functions
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<div class="citation" vocab="http://schema.org/"><i class="fa faexternallinksquare fafw"></i> Data from <span resource="http://link.library.missouri.edu/portal/ConjugatedualityinconvexoptimizationRadu/HW1MzooPaI/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.library.missouri.edu/portal/ConjugatedualityinconvexoptimizationRadu/HW1MzooPaI/">Conjugate duality in convex optimization, Radu Ioan Bot</a></span>  <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.library.missouri.edu/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.library.missouri.edu/">University of Missouri Libraries</a></span></span></span></span></div>