The Resource Conjugate Duality in Convex Optimization, by Radu Ioan Bot, (electronic resource)

Conjugate Duality in Convex Optimization, by Radu Ioan Bot, (electronic resource)

Label
Conjugate Duality in Convex Optimization
Title
Conjugate Duality in Convex Optimization
Statement of responsibility
by Radu Ioan Bot
Creator
Author
Author
Subject
Language
  • eng
  • 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 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
Member of
Is Subseries of
http://library.link/vocab/creatorName
Bot, Radu Ioan
Dewey number
519.6
http://bibfra.me/vocab/relation/httpidlocgovvocabularyrelatorsaut
4jtnSUx-o2A
Language note
English
LC call number
  • QA402-402.37
  • T57.6-57.97
Literary form
non fiction
Nature of contents
dictionaries
Series statement
Lecture Notes in Economics and Mathematical Systems,
Series volume
637
http://library.link/vocab/subjectName
  • Operations research
  • Mathematical optimization
  • Systems theory
  • Global analysis (Mathematics)
  • Operations Research, Management Science
  • Operations Research/Decision Theory
  • Optimization
  • Systems Theory, Control
  • Analysis
Label
Conjugate Duality in Convex Optimization, by Radu Ioan Bot, (electronic resource)
Instantiates
Publication
Note
Description based upon print version of record
Carrier category
online resource
Carrier category code
  • cr
Content category
text
Content type code
  • txt
Contents
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
Dimensions
unknown
Edition
1st ed. 2010.
Extent
1 online resource (170 p.)
Form of item
online
Isbn
9786612834943
Media category
computer
Media type code
  • c
Other control number
10.1007/978-3-642-04900-2
Specific material designation
remote
System control number
  • (CKB)2670000000006999
  • (EBL)510519
  • (OCoLC)567353779
  • (SSID)ssj0000877498
  • (PQKBManifestationID)12448374
  • (PQKBTitleCode)TC0000877498
  • (PQKBWorkID)10811150
  • (PQKB)10972234
  • (SSID)ssj0000372631
  • (PQKBManifestationID)11243755
  • (PQKBTitleCode)TC0000372631
  • (PQKBWorkID)10438280
  • (PQKB)11381970
  • (DE-He213)978-3-642-04900-2
  • (MiAaPQ)EBC510519
  • (EXLCZ)992670000000006999
Label
Conjugate Duality in Convex Optimization, by Radu Ioan Bot, (electronic resource)
Publication
Note
Description based upon print version of record
Carrier category
online resource
Carrier category code
  • cr
Content category
text
Content type code
  • txt
Contents
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
Dimensions
unknown
Edition
1st ed. 2010.
Extent
1 online resource (170 p.)
Form of item
online
Isbn
9786612834943
Media category
computer
Media type code
  • c
Other control number
10.1007/978-3-642-04900-2
Specific material designation
remote
System control number
  • (CKB)2670000000006999
  • (EBL)510519
  • (OCoLC)567353779
  • (SSID)ssj0000877498
  • (PQKBManifestationID)12448374
  • (PQKBTitleCode)TC0000877498
  • (PQKBWorkID)10811150
  • (PQKB)10972234
  • (SSID)ssj0000372631
  • (PQKBManifestationID)11243755
  • (PQKBTitleCode)TC0000372631
  • (PQKBWorkID)10438280
  • (PQKB)11381970
  • (DE-He213)978-3-642-04900-2
  • (MiAaPQ)EBC510519
  • (EXLCZ)992670000000006999

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