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 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
- Language
- eng
- Extent
- 1 online resource (xii, 164 pages).
- 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
- 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 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
- 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. 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
- 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
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 fa-external-link-square fa-fw"></i> Data from <span resource="http://link.library.missouri.edu/portal/Conjugate-duality-in-convex-optimization-Radu/HW1M-zooPaI/" 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/Conjugate-duality-in-convex-optimization-Radu/HW1M-zooPaI/">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>
