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Undergraduate Convexity
Niels Lauritzen
其他書名
From Fourier and Motzkin to Kuhn and Tucker
出版World Scientific, 2013
主題Mathematics / Geometry / GeneralMathematics / Mathematical Analysis
ISBN981441252X9789814412520
URLhttp://books.google.com.hk/books?id=n366CgAAQBAJ&hl=&source=gbs_api
EBookSAMPLE
註釋Based on undergraduate teaching to students in computer science, economics and mathematics at Aarhus University, this is an elementary introduction to convex sets and convex functions with emphasis on concrete computations and examples.Starting from linear inequalities and FourierOCoMotzkin elimination, the theory is developed by introducing polyhedra, the double description method and the simplex algorithm, closed convex subsets, convex functions of one and several variables ending with a chapter on convex optimization with the KarushOCoKuhnOCoTucker conditions, duality and an interior point algorithm.