Conjugate Duality And Optimization
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Conjugate Duality And Optimization
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Author : R. Tyrrell Rockafellar
language : en
Publisher: SIAM
Release Date : 1974-01-01
Conjugate Duality And Optimization written by R. Tyrrell Rockafellar and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 1974-01-01 with Technology & Engineering categories.
The theory of duality in problems of optimization is developed in a setting of finite and infinite dimensional spaces using convex analysis. Applications to convex and nonconvex problems. Expository account containing many new results. (Author).
Conjugate Duality And Optimization
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Author : Ralph Tyrrell Rockafellar
language : en
Publisher:
Release Date : 1989
Conjugate Duality And Optimization written by Ralph Tyrrell Rockafellar and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1989 with categories.
Conjugate Duality In Convex Optimization
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Author : Radu Ioan-Bot
language : en
Publisher: Springer
Release Date : 2011-03-03
Conjugate Duality In Convex Optimization written by Radu Ioan-Bot and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-03-03 with Business & Economics categories.
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.
Duality In Optimization And Variational Inequalities
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Author : C.j. Goh
language : en
Publisher: CRC Press
Release Date : 2002-05-10
Duality In Optimization And Variational Inequalities written by C.j. Goh and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002-05-10 with Mathematics categories.
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 multicriteria problems. In addition, it examines duality in the context of variational inequalities and vector variational inequalities, as generalizations to optimization. Duality in Optimizati
Conjugate Duality In Convex Optimization
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Author : Radu Ioan Boţ
language : en
Publisher:
Release Date : 2008
Conjugate Duality In Convex Optimization written by Radu Ioan Boţ and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008 with categories.
Conjugate Duality In Optimization Of Search For A Target With Generalized Conditionally Deterministic Motion
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Author : Ulla Pursiheimo
language : en
Publisher:
Release Date : 1978
Conjugate Duality In Optimization Of Search For A Target With Generalized Conditionally Deterministic Motion written by Ulla Pursiheimo and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1978 with categories.
Convexity And Duality In Optimization
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Author : Jacob Ponstein
language : en
Publisher: Springer
Release Date : 1985
Convexity And Duality In Optimization written by Jacob Ponstein and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 1985 with Business & Economics categories.
The analysis and optimization of convex functions have re ceived a great deal of attention during the last two decades. If we had to choose two key-words from these developments, we would retain the concept of ~ubdi66~e~ and the duality theo~y. As it usual in the development of mathematical theories, people had since tried to extend the known defi nitions and properties to new classes of functions, including the convex ones. For what concerns the generalization of the notion of subdifferential, tremendous achievements have been carried out in the past decade and any rna·· thematician who is faced with a nondifferentiable nonconvex function has now a panoply of generalized subdifferentials or derivatives at his disposal. A lot remains to be done in this area, especially concerning vecto~-valued functions ; however we think the golden age for these researches is behind us. Duality theory has also fascinated many mathematicians since the underlying mathematical framework has been laid down in the context of Convex Analysis. The various duality schemes which have emerged in the re cent years, despite of their mathematical elegance, have not always proved as powerful as expected.
A New Constraint Qualification And Conjugate Duality For Composed Convex Optimization Problems
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Author : Radu Ioan Boţ
language : en
Publisher:
Release Date : 2004
A New Constraint Qualification And Conjugate Duality For Composed Convex Optimization Problems written by Radu Ioan Boţ and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004 with categories.
Conjugate Duality And Optimization Lecture Notes Based On Regional Conference June 1973 Conference Board Of Mathematical Sciences And The National Science Foundation
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Author :
language : en
Publisher:
Release Date :
Conjugate Duality And Optimization Lecture Notes Based On Regional Conference June 1973 Conference Board Of Mathematical Sciences And The National Science Foundation written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on with categories.
Duality In Vector Optimization
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Author : Radu Ioan Bot
language : en
Publisher: Springer Science & Business Media
Release Date : 2009-08-12
Duality In Vector Optimization written by Radu Ioan Bot and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-08-12 with Mathematics categories.
This book presents fundamentals and comprehensive results regarding duality for scalar, vector and set-valued optimization problems in a general setting. One chapter is exclusively consecrated to the scalar and vector Wolfe and Mond-Weir duality schemes.