Handbook of Global Optimization

Handbook of Global Optimization

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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.Lemma 8.6 Let A, B and C be three regular points. ... D Note that the characteristic area of t(x) is bounded by a polygon of n edges. Partitioning the area into n a€“ 2 triangles by adding n a€“ 3 edges, we will obtain a network with n vertices and 2na€“3 edges. ... Note that in the previous discussion, when we say that a set P of points is given, we really mean that the distance ... pasting several polygons in the Euclidean plan and the pasting that we did in subsection 8.1 preserves the formula.

Title:Handbook of Global Optimization
Author: R. Horst, Panos M. Pardalos
Publisher:Springer Science & Business Media - 2013-12-11

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