Overview
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 text 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. 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.
Full Product Details
Author: Hoang Tuy
Publisher: Kluwer Academic Publishers
Imprint: Kluwer Academic Publishers
Edition: 1998 ed.
Volume: v. 22
Dimensions:
Width: 15.60cm
, Height: 2.00cm
, Length: 23.40cm
Weight: 0.675kg
ISBN: 9780792348184
ISBN 10: 0792348184
Pages: 352
Publication Date: 31 January 1998
Audience:
College/higher education
,
Professional and scholarly
,
Undergraduate
,
Postgraduate, Research & Scholarly
Replaced By: 9783319314822
Format: Hardback
Publisher's Status: Active
Availability: In Print
This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us.
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)
'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)
