
Optimization on Low Rank Nonconvex Structures
Springer (Publisher)
Published on 26. November 2013
Book
Paperback/Softback
XII, 460 pages
978-1-4613-6835-9 (ISBN)
Description
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.
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.
Reviews / Votes
` 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
More details
Series
Edition
Softcover reprint of the original 1st ed. 1997
Language
English
Place of publication
New York
United States
Target group
Professional and scholarly
Research
Illustrations
XII, 460 p.
Dimensions
Height: 235 mm
Width: 155 mm
Thickness: 26 mm
Weight
709 gr
ISBN-13
978-1-4613-6835-9 (9781461368359)
DOI
10.1007/978-1-4615-4098-4
Schweitzer Classification
Other editions
Additional editions

Hiroshi Konno | Phan Thien Thach | Hoang Tuy
Optimization on Low Rank Nonconvex Structures
Book
12/1996
Kluwer Academic Publishers
€213.99
Shipment within 15-20 days
Content
Preface. Part I: Foundations. 1. Scope of Global Optimization. 2. Quasi-Convexity. 3. D.C. Functions and D.C. Sets. 4. Duality. 5. Low-Rank Nonconvex Structures. 6. Global Search Methods and Basic D.C. Optimization Algorithms. Part II: Methods and Algorithms. 7. Parametric Approaches in Global Optimization. 8. Multiplicative Programming Problems. 9. Monotonic Problems. 10. Decomposition Methods by Prices. 11. Dynamic Programming Algorithms in Global Optimization. Part III: Selected Applications. 12. Low Rank Nonconvex Quadratic Programming. 13. Continuous Location. 14. Design Centering and Related Geometric Problems. 15. Multiobjective and Bilevel Programming. References. Index.