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Global optimization is concerned with the computation and characterization of global optima of nonlinear functions. During the past three decades the field of global optimization has been growing at a rapid pace, and the number of publications on all aspects of global optimization has been increasing steadily. Many applications, as well as new theoretical, algorithmic, and computational contributions have resulted.
The Handbook of Global Optimization is the first comprehensive book to cover recent developments in global optimization. Each contribution in the Handbook is essentially expository in nature, but scholarly in its treatment. The chapters cover optimality conditions, complexity results, concave minimization, DC programming, general quadratic programming, nonlinear complementarity, minimax problems, multiplicative programming, Lipschitz optimization, fractional programming, network problems, trajectory methods, homotopy methods, interval methods, and stochastic approaches.
The Handbook of Global Optimization is addressed to researchers in mathematical programming, as well as all scientists who use optimization methods to model and solve problems.
List of contents
Preface. 1. Conditions for Global Optimality; J.-B. Hiriart-Urruty. 2. Complexity Issues in Global Optimization: a Survey; S.A. Vavasis. 3. Concave Minimization: Theory, Applications and Algorithms; H.P. Benson. 4. DC Optimization: Theory, Methods and Algorithms; Hoang Tuy. 5. Quadratic Optimization; C.A. Floudas, V. Visweswaran. 6. Complementary Problems; Jong-Shi Pang. 7. Minimax and its Applications; Ding-Zhu Du. 8. Multiplicative Programming Problems; H. Konno, T. Kuno. 9. Lipschitz Optimization; P. Hansen, B. Jaumard. 10. Fractional Programming; S. Schaible. 11. Network Problems; G.M. Guisewite. 12. Trajectory Methods in Global Optimization; I. Diener. 13. Interval Methods; H. Ratschek, J. Rohne. 14. Stochastic Methods; C. Guus, E. Boender, H.E. Romeijn. Index.
Summary
Global optimization is concerned with the computation and characterization of global optima of nonlinear functions.
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` ... provide an impressive overview of the field of global optimization. ... clearly written ... coherent and comprehensive survey of the topic at hand ... woven the material together so that the relationships among the topics covered become evident. ... knowledge, insight and maturity that the authors bring to their respective topics make the book a pleasure to read. ... constitute an extraordinary sourcebook ... I highly recommend this outstanding volume to anyone interested in global optimization. '
Journal of Global Optimization, 9 (1996)
