Optimization on Low Rank Nonconvex Structures

By: Hiroshi Konno, Phan Thien Thach, Hoang Tuy

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Hardcover | 1 December 2009

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472 Pages

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25.4 x 17.15 x 3.18

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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.

Industry Reviews

`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

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Non-Fiction Mathematics Optimisation Linear Programming Geometry Analytic Geometry Business & Management Operational Research Computing & I.T.Computer Programming & Software Development Applied Mathematics

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Published: 26th November 2013

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Preface
Scope of Global Optimization	p. 3
Quasi-Convexity	p. 23
D.C. Functions and D.C. Sets	p. 47
Duality	p. 77
Low-Rank Nonconvex Structures	p. 95
Global Search Methods and Basic D.C. Optimization Algorithms	p. 119
Parametric Approaches in Global Optimization	p. 169
Multiplicative Programming Problems	p. 203
Monotonic Problems	p. 229
Decomposition Methods by Prices	p. 273
Dynamic Programming Algorithms in Global Optimization	p. 297
Low Rank Nonconvex Quadratic Programming	p. 325
Continuous Location	p. 353
Design Centering and Related Geometric Problems	p. 375
Multiobjective and Bilevel Programming	p. 397
References	p. 427
Index	p. 455
Table of Contents provided by Blackwell. All Rights Reserved.

Optimization on Low Rank Nonconvex Structures

At a Glance

Hardcover

Industry Reviews

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How to return your order

Defective items

You Can Find This Book In

Other Editions and Formats

Paperback

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