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Nonconvex Optimization and Its Applications

Convex Analysis and Global Optimization

Authors: Hoang Tuy

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About this book

Due to the general complementary convex structure underlying most nonconvex optimization problems encountered in applications, convex analysis plays an essential role in the development of global optimization methods. This book develops a coherent and rigorous theory of deterministic global optimization from this point of view. Part I constitutes an introduction to convex analysis, with an emphasis on concepts, properties and results particularly needed for global optimization, including those pertaining to the complementary convex structure. Part II presents the foundation and application of global search principles such as partitioning and cutting, outer and inner approximation, and decomposition to general global optimization problems and to problems with a low-rank nonconvex structure as well as quadratic problems. Much new material is offered, aside from a rigorous mathematical development.
Audience: The book is written as a text for graduate students in engineering, mathematics, operations research, computer science and other disciplines dealing with optimization theory. It is also addressed to all scientists in various fields who are interested in mathematical optimization.

Reviews

`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)

Table of contents (8 chapters)

Table of contents (8 chapters)

Buy this book

eBook $229.00
price for USA in USD (gross)
  • ISBN 978-1-4757-2809-5
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $289.00
price for USA in USD
  • ISBN 978-1-4419-4783-3
  • Free shipping for individuals worldwide
  • Immediate ebook access, if available*, with your print order
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Convex Analysis and Global Optimization
Authors
Series Title
Nonconvex Optimization and Its Applications
Series Volume
22
Copyright
1998
Publisher
Springer US
Copyright Holder
Springer Science+Business Media Dordrecht
eBook ISBN
978-1-4757-2809-5
DOI
10.1007/978-1-4757-2809-5
Softcover ISBN
978-1-4419-4783-3
Series ISSN
1571-568X
Edition Number
1
Number of Pages
XII, 340
Topics

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