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Abstract Convexity and Global Optimization

Language EnglishEnglish
Book Paperback
Book Abstract Convexity and Global Optimization Alexander M. Rubinov
Libristo code: 01423255
Publishers Springer, Berlin, October 2010
This book consists of two parts. Firstly, the main notions of abstract convexity and their applicati... Full description
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This book consists of two parts. Firstly, the main notions of abstract convexity and their applications in the study of some classes of functions and sets are presented. Secondly, both theoretical and numerical aspects of global optimization based on abstract convexity are examined. Most of the book does not require knowledge of advanced mathematics. Classical methods of nonconvex mathematical programming, being based on a local approximation, cannot be used to examine and solve many problems of global optimization, and so there is a clear need to develop special global tools for solving these problems. Some of these tools are based on abstract convexity, that is, on the representation of a function of a rather complicated nature as the upper envelope of a set of fairly simple functions. Audience: The book will be of interest to specialists in global optimization, mathematical programming, and convex analysis, as well as engineers using mathematical tools and optimization techniques and specialists in mathematical modelling.

About the book

Full name Abstract Convexity and Global Optimization
Language English
Binding Book - Paperback
Date of issue 2010
Number of pages 493
EAN 9781441948311
ISBN 1441948317
Libristo code 01423255
Publishers Springer, Berlin
Weight 711
Dimensions 160 x 240 x 26
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