Optimization on Low Rank Nonconvex Structures

Hiroshi Konno

ISBN 10: 1461368359 / ISBN 13: 9781461368359

Editore: Springer US Nov 2013, 2013

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This item is printed on demand - it takes 3-4 days longer - Neuware -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. 472 pp. Englisch. Codice articolo 9781461368359

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Titolo: Optimization on Low Rank Nonconvex Structures

Casa editrice: Springer US Nov 2013

Data di pubblicazione: 2013

Legatura: Taschenbuch

Condizione: Neu

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Riassunto:

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.

Recensione:

`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