Convex Analysis and Global Optimization

Released on by Hoang Tuy
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  • Convex Analysis and Global Optimization Book Detail

  • Author : Hoang Tuy
  • Release Date : 2013-03-09
  • Publisher : Springer Science & Business Media
  • Genre : Mathematics
  • Pages : 346
  • ISBN 13 : 1475728093
  • File Size : 92,92 MB
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Convex Analysis and Global Optimization by Hoang Tuy PDF Summary

Book Description: Due to the general complementary convex structure underlying most nonconvex optimization problems encountered in applications, convex analysis plays an essential role in the development of global optimization methods. This book develops a coherent and rigorous theory of deterministic global optimization from this point of view. Part I constitutes an introduction to convex analysis, with an emphasis on concepts, properties and results particularly needed for global optimization, including those pertaining to the complementary convex structure. Part II presents the foundation and application of global search principles such as partitioning and cutting, outer and inner approximation, and decomposition to general global optimization problems and to problems with a low-rank nonconvex structure as well as quadratic problems. Much new material is offered, aside from a rigorous mathematical development. Audience: The book is written as a text for graduate students in engineering, mathematics, operations research, computer science and other disciplines dealing with optimization theory. It is also addressed to all scientists in various fields who are interested in mathematical optimization.

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Convex Analysis and Global Optimization

Convex Analysis and Global Optimization

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Due to the general complementary convex structure underlying most nonconvex optimization problems encountered in applications, convex analysis plays an essentia

Convex Analysis and Global Optimization

Convex Analysis and Global Optimization

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Due to the general complementary convex structure underlying most nonconvex optimization problems encountered in applications, convex analysis plays an essentia

Abstract Convexity and Global Optimization

Abstract Convexity and Global Optimization

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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 p

Convex Analysis and Optimization

Convex Analysis and Optimization

File Size : 92,92 MB
Total View : 1673 Views
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A uniquely pedagogical, insightful, and rigorous treatment of the analytical/geometrical foundations of optimization. The book provides a comprehensive developm