Coverart for item
The Resource Conjugate duality in convex optimization, Radu Ioan Bot

Conjugate duality in convex optimization, Radu Ioan Bot

Label
Conjugate duality in convex optimization
Title
Conjugate duality in convex optimization
Statement of responsibility
Radu Ioan Bot
Creator
Subject
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 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
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
Instantiates
Publication
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. Moreau-Rockafellar formulae and Closedness-type 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
10.1007/978-3-642-04900-2
http://library.link/vocab/ext/overdrive/overdriveId
978-3-642-04899-9
Specific material designation
remote
System control number
(OCoLC)567353779
Label
Conjugate duality in convex optimization, Radu Ioan Bot
Publication
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. Moreau-Rockafellar formulae and Closedness-type 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
10.1007/978-3-642-04900-2
http://library.link/vocab/ext/overdrive/overdriveId
978-3-642-04899-9
Specific material designation
remote
System control number
(OCoLC)567353779

Library Locations

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      38.944491 -92.326012
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