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OverviewSemidefinite programming has been described as linear programming for the year 2000. It is an exciting new branch of mathematical programming, due to important applications in control theory, combinatorial optimization and other fields. Moreover, the successful interior point algorithms for linear programming can be extended to semidefinite programming. In this monograph the basic theory of interior point algorithms is explained. This includes results on the properties of the central path as well as the analysis of the most important classes of algorithms. Several ""classic"" applications of semidefinite programming are also described in detail. These include the Lovasz theta function and the MAX-CUT approximation algorithm by Goemans and Williamson. Full Product DetailsAuthor: E. de KlerkPublisher: Springer-Verlag New York Inc. Imprint: Springer-Verlag New York Inc. Edition: 2002 ed. Volume: 65 Dimensions: Width: 15.50cm , Height: 1.90cm , Length: 23.50cm Weight: 1.340kg ISBN: 9781402005473ISBN 10: 1402005474 Pages: 288 Publication Date: 31 March 2002 Audience: College/higher education , Professional and scholarly , Postgraduate, Research & Scholarly , Professional & Vocational Format: Hardback Publisher's Status: Active Availability: Out of print, replaced by POD ![]() We will order this item for you from a manufatured on demand supplier. Table of ContentsTheory and Algorithms.- Duality, Optimality, and Degeneracy.- The Central Path.- Self-Dual Embeddings.- The Primal Logarithmic Barrier Method.- Primal-Dual Affine-Scaling Methods.- Primal-Dual Path-Following Methods.- Primal-Dual Potential Reduction Methods.- Selected Applications.- Convex Quadratic Approximation.- The Lovász ?-Function.- Graph Coulouring and the Max-K-Cut Problem.- The Stability Number of a Graph and Standard Quadratic Optimization.- The Satisfiability Problem.ReviewsAuthor InformationTab Content 6Author Website:Countries AvailableAll regions |