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Lecture Notes in Economics and Mathematical Systems Ser.: Conjugate Duality in Convex Optimization by Radu Ioan Bot (2010, Trade Paperback)

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Conjugate Duality in Convex Optimization by Radu Ioan Bot. The results presented in this book originate from the last decade research work of the author in the ?. eld of duality theory in convex optimization.

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Product Information

The results presented in this book originate from the last decade research work of the author in the ?eld of duality theory in convex optimization. The reputation of duality in the optimization theory comes mainly from the major role that it plays in formulating necessary and suf?cient optimality conditions and, consequently, in generatingdifferent algorithmic approachesfor solving mathematical programming problems. The investigations made in this work prove the importance of the duality theory beyond these aspects and emphasize its strong connections with different topics in convex analysis, nonlinear analysis, functional analysis and in the theory of monotone operators. The ?rst part of the book brings to the attention of the reader the perturbation approach as a fundamental tool for developing the so-called conjugate duality t- ory. The classical Lagrange and Fenchel duality approaches are particular instances of this general concept. More than that, the generalized interior point regularity conditions stated in the past for the two mentioned situations turn out to be p- ticularizations of the ones given in this general setting. In our investigations, the perturbationapproachrepresentsthestartingpointforderivingnewdualityconcepts for several classes of convex optimization problems. Moreover, via this approach, generalized Moreau-Rockafellar formulae are provided and, in connection with them, a new class of regularity conditions, called closedness-type conditions, for both stable strong duality and strong duality is introduced. By stable strong duality we understand the situation in which strong duality still holds whenever perturbing the objective function of the primal problem with a linear continuous functional.

Product Identifiers

Publisher
Springer Berlin / Heidelberg
ISBN-10
3642048994
ISBN-13
9783642048999
eBay Product ID (ePID)
78671965

Product Key Features

Author
Radu Ioan Bot
Publication Name
Conjugate Duality in Convex Optimization
Format
Trade Paperback
Language
English
Publication Year
2010
Series
Lecture Notes in Economics and Mathematical Systems Ser.
Type
Textbook
Number of Pages
Xii, 164 Pages

Dimensions

Item Length
9.3in
Item Width
6.1in
Item Weight
20.1 Oz

Additional Product Features

Series Volume Number
637
Number of Volumes
1 Vol.
Lc Classification Number
T57.6-57.97
Table of Content
Perturbation 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.
Copyright Date
2010
Topic
Functional Analysis, Operations Research, Management Science, Optimization, Mathematical Analysis
Dewey Decimal
515.782
Intended Audience
Scholarly & Professional
Dewey Edition
22
Illustrated
Yes
Genre
Business & Economics, Mathematics

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item 1 CONJUGATE DUALITY IN CONVEX OPTIMIZATION (LECTURE NOTES IN By Radu Ioan Bot *VG*
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item 2 Conjugate Duality in Convex Optimization by Radu Ioan Bot (English) Paperback Bo
$124.10
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Picture 1 of 1

Lecture Notes in Economics and Mathematical Systems Ser.: Conjugate Duality in Convex Optimization by Radu Ioan Bot (2010, Trade Paperback)

About this product

Product Information

Product Identifiers

Product Key Features

Dimensions

Additional Product Features

All listings for this product

item 1 CONJUGATE DUALITY IN CONVEX OPTIMIZATION (LECTURE NOTES IN By Radu Ioan Bot VG

item 2 Conjugate Duality in Convex Optimization by Radu Ioan Bot (English) Paperback Bo

Best Selling in Textbooks

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Encyclopedia of Counseling : Master Review and Tutorial for the National Counselor Examination, State Counseling Exams, and the Counselor Preparation Comprehensive Examination by Howard Rosenthal (2017, Trade Paperback, Revised edition,New Edition)

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