Springer Optimization and Its Applications

Convex Analysis and Global Optimization

Authors: Tuy, Hoang

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  • Presents up-to-date research and methodologies in modern global optimization
  • Serves as a reference for a wide swath of the optimization community
  • Equips readers to handle a mathematically rigorous approach to modern global optimization and its potential applications
  • Covers fundamental concepts, theoretical foundations and practical implementation of algorithms
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eBook 91,62 €
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  • ISBN 978-3-319-31484-6
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Hardcover 114,39 €
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  • ISBN 978-3-319-31482-2
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  • Usually dispatched within 3 to 5 business days.
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Softcover 114,39 €
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  • ISBN 978-3-319-81049-2
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  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
About this book

This book presents state-of-the-art results and methodologies in modern global optimization, and has been a staple reference for researchers, engineers, advanced students (also in applied mathematics), and practitioners in various fields of engineering. The second edition has been brought up to date and continues to develop a coherent and rigorous theory of deterministic global optimization, highlighting the essential role of convex analysis. The text has been revised and expanded to meet the needs of research, education, and applications for many years to come.

Updates for this new edition include:

·        Discussion of modern approaches to minimax, fixed point, and equilibrium theorems, and to nonconvex optimization;

·        Increased focus on dealing more efficiently with ill-posed problems of global optimization, particularly those with hard constraints;

·        Important discussions of decomposition methods for specially structured problems;

·        A complete revision of the chapter on nonconvex quadratic programming, in order to encompass the advances made in quadratic optimization since publication of the first edition.

·        Additionally, this new edition contains entirely new chapters devoted to monotonic optimization, polynomial optimization and optimization under equilibrium constraints, including bilevel programming, multiobjective programming, and optimization with variational inequality constraint.

From the reviews of the first edition:

The book gives a good review of the topic. The text is carefully constructed and well written, the exposition is clear. It leaves a remarkable impression of the concepts, tools and techniques in global optimization. It might also be used as a basis and guideline for lectures on this subject. Students as well as professionals will profitably read and use it.Mathematical Methods of Operations Research, 49:3 (1999)

Reviews

“This is a very pleasant text on global optimization problems, concentrating on those problems that have some kind of convexity property. It describes itself as a Ph.D. level text, but in fact it is easy to read and develops all the necessary background, so it could be used by any sufficiently-motivated student. … Each chapter has a good selection of problems, both proof problems and specific problems to optimize.” (Allen Stenger, MAA Reviews, July, 2017)

“This reviewer believes that the book can be recommended not only to researchers but also to graduate students ... and even practioners, who can identify problems arising from various fields among those dealt with in the book.”  (Sorin-Mihai Grad, Mathematical Reviews, June, 2017)

“The book is a well-prepared exposition of the state-of-the-art of the theory and algorithms in the area of modern global optimization. … a good choice if one needs a textbook for graduate or PhD course. It would be also suitable for engineers and other practitionners that would like to better understand the algorithms that they use.” (Marcin Anholcer, zbMATH 1362.90001, 2017)



Table of contents (13 chapters)

Table of contents (13 chapters)

Buy this book

eBook 91,62 €
price for Spain (gross)
  • ISBN 978-3-319-31484-6
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover 114,39 €
price for Spain (gross)
  • ISBN 978-3-319-31482-2
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
Softcover 114,39 €
price for Spain (gross)
  • ISBN 978-3-319-81049-2
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
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Bibliographic Information

Bibliographic Information
Book Title
Convex Analysis and Global Optimization
Authors
Series Title
Springer Optimization and Its Applications
Series Volume
110
Copyright
2016
Publisher
Springer International Publishing
Copyright Holder
Springer International Publishing AG
eBook ISBN
978-3-319-31484-6
DOI
10.1007/978-3-319-31484-6
Hardcover ISBN
978-3-319-31482-2
Softcover ISBN
978-3-319-81049-2
Series ISSN
1931-6828
Edition Number
2
Number of Pages
XVI, 505
Number of Illustrations
36 b/w illustrations
Additional Information
Originally published by Kluwer Academic Publishers in 1998
Topics