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  • Open Daily: 10am - 10pm
    Alley-side Pickup: 10am - 7pm

    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
3038 Hennepin Ave Minneapolis, MN
612-822-4611
Mathematical Theory of Optimization

Mathematical Theory of Optimization

Weili Wu
Ding-Zhu Du
Pardalos, Panos M.

Paperback

Series: Nonconvex Optimization and Its Applications, Book 56

General ComputersGeneral Mathematics

ISBN10: 1441952020
ISBN13: 9781441952028
Publisher: Springer Nature
Published: Nov 29 2010
Pages: 273
Weight: 0.91
Height: 0.61 Width: 6.14 Depth: 9.21
Language: English
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.

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