Duality for Nonconvex Approximation and Optimization

Duality for Nonconvex Approximation and Optimization
Author: Ivan Singer
Publisher: Springer Science & Business Media
Total Pages: 366
Release: 2007-03-12
Genre: Mathematics
ISBN: 0387283951

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The theory of convex optimization has been constantly developing over the past 30 years. Most recently, many researchers have been studying more complicated classes of problems that still can be studied by means of convex analysis, so-called "anticonvex" and "convex-anticonvex" optimizaton problems. This manuscript contains an exhaustive presentation of the duality for these classes of problems and some of its generalization in the framework of abstract convexity. This manuscript will be of great interest for experts in this and related fields.


Duality for Nonconvex Approximation and Optimization
Language: en
Pages: 366
Authors: Ivan Singer
Categories: Mathematics
Type: BOOK - Published: 2007-03-12 - Publisher: Springer Science & Business Media

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The theory of convex optimization has been constantly developing over the past 30 years. Most recently, many researchers have been studying more complicated cla
Duality Principles in Nonconvex Systems
Language: en
Pages: 463
Authors: David Yang Gao
Categories: Mathematics
Type: BOOK - Published: 2013-03-09 - Publisher: Springer Science & Business Media

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Motivated by practical problems in engineering and physics, drawing on a wide range of applied mathematical disciplines, this book is the first to provide, with
Duality and Approximation Methods for Cooperative Optimization and Control
Language: en
Pages: 166
Authors: Mathias Bürger
Categories: Mathematics
Type: BOOK - Published: 2014 - Publisher: Logos Verlag Berlin GmbH

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This thesis investigates the role of duality and the use of approximation methods in cooperative optimization and control. Concerning cooperative optimization,
Conjugate Duality and Optimization
Language: en
Pages: 80
Authors: R. Tyrrell Rockafellar
Categories: Technology & Engineering
Type: BOOK - Published: 1974-01-01 - Publisher: SIAM

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Provides a relatively brief introduction to conjugate duality in both finite- and infinite-dimensional problems. An emphasis is placed on the fundamental import
Duality in Optimization and Variational Inequalities
Language: en
Pages: 344
Authors: C.j. Goh
Categories: Mathematics
Type: BOOK - Published: 2002-05-10 - Publisher: Taylor & Francis

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This comprehensive volume covers a wide range of duality topics ranging from simple ideas in network flows to complex issues in non-convex optimization and mult