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.
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`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)
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Book Description Springer, 1998. Hardback. Book Condition: NEW. 9780792348184 This listing is a new book, a title currently in-print which we order directly and immediately from the publisher. Bookseller Inventory # HTANDREE0281188
Book Description Springer, 1998. Hardcover. Book Condition: New. This item is printed on demand. Bookseller Inventory # DADAX0792348184
Book Description Kluwer Academic Pub, 1997. Hardcover. Book Condition: Brand New. 1st edition. 339 pages. 10.00x7.00x1.25 inches. In Stock. Bookseller Inventory # 0792348184
Book Description Springer, 1998. Hardcover. Book Condition: New. book. Bookseller Inventory # M0792348184