Mathematical Theory of Optimization

Mathematical Theory of Optimization

EnglishHardback
Ding-Zhu Du
Springer-Verlag New York Inc.
EAN: 9781402000157
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Optimization is of central importance in all sciences. Nature inherently seeks optimal solutions. For example, light travels through the "shortest" path and the folded state of a protein corresponds to the structure with the "minimum" potential energy. In combinatorial optimization, there are numerous computationally hard problems arising in real world applications, such as floorplanning in VLSI designs and Steiner trees in communication networks. For these problems, the exact optimal solution is not currently real-time computable. One usually computes an approximate solution with various kinds of heuristics. Recently, many approaches have been developed that link the discrete space of combinatorial optimization to the continuous space of nonlinear optimization through geometric, analytic, and algebraic techniques. Many researchers have found that such approaches lead to very fast and efficient heuristics for solving large problems. Although almost all such heuristics work well in practice there is no solid theoretical analysis, except Karmakar's algorithm for linear programming. With this situation in mind, we decided to teach a seminar on nonlinear optimization with emphasis on its mathematical foundations. This book is the result of that seminar. During the last decades many textbooks and monographs in nonlinear optimization have been published. Why should we write this new one? What is the difference of this book from the others? The motivation for writing this book originated from our efforts to select a textbook for a graduate seminar with focus on the mathematical foundations of optimization.
EAN 9781402000157
ISBN 1402000154
Binding Hardback
Publisher Springer-Verlag New York Inc.
Publication date October 31, 2001
Pages 273
Language English
Dimensions 235 x 155
Country United States
Readership Professional & Scholarly
Authors Ding-Zhu Du; Pardalos Panos M.; Weili Wu
Illustrations XIII, 273 p.
Edition 2001 ed.
Series Nonconvex Optimization and Its Applications
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