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Optimization on Low Rank Nonconvex Structures : Nonconvex Optimization and Its Applications - Hiroshi Konno

Optimization on Low Rank Nonconvex Structures

Nonconvex Optimization and Its Applications


Published: December 2009
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Global optimization is one of the fastest developing fields in mathematical optimization. In fact, an increasing number of remarkably efficient deterministic algorithms have been proposed in the last ten years for solving several classes of large scale specially structured problems encountered in such areas as chemical engineering, financial engineering, location and network optimization, production and inventory control, engineering design, computational geometry, and multi-objective and multi-level optimization. These new developments motivated the authors to write a new book devoted to global optimization problems with special structures. Most of these problems, though highly nonconvex, can be characterized by the property that they reduce to convex minimization problems when some of the variables are fixed. A number of recently developed algorithms have been proved surprisingly efficient for handling typical classes of problems exhibiting such structures, namely low rank nonconvex structures. Audience: The book will serve as a fundamental reference book for all those who are interested in mathematical optimization.

`Overall this is a book which can be recommended to anyone who wishes to know more about the incrteasingly important area of global optimization.' Mathematical Reviews, 98i

Scope of Global Optimizationp. 3
Quasi-Convexityp. 23
D.C. Functions and D.C. Setsp. 47
Dualityp. 77
Low-Rank Nonconvex Structuresp. 95
Global Search Methods and Basic D.C. Optimization Algorithmsp. 119
Parametric Approaches in Global Optimizationp. 169
Multiplicative Programming Problemsp. 203
Monotonic Problemsp. 229
Decomposition Methods by Pricesp. 273
Dynamic Programming Algorithms in Global Optimizationp. 297
Low Rank Nonconvex Quadratic Programmingp. 325
Continuous Locationp. 353
Design Centering and Related Geometric Problemsp. 375
Multiobjective and Bilevel Programmingp. 397
Referencesp. 427
Indexp. 455
Table of Contents provided by Blackwell. All Rights Reserved.

ISBN: 9780792343080
ISBN-10: 0792343085
Series: Nonconvex Optimization and Its Applications
Audience: Professional
Format: Hardcover
Language: English
Number Of Pages: 460
Published: December 2009
Publisher: Springer
Country of Publication: NL
Dimensions (cm): 23.5 x 15.5  x 3.18
Weight (kg): 1.84