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Undergraduate convexity : from Fourier and Motzkin to Kuhn and Tucker /

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 Fourier-Motzkin eliminati...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Lauritzen, Niels, 1964- (Autor)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: [Hackensack] New Jersey : World Scientific, [2013]
Temas:
Acceso en línea:Texto completo
Descripción
Sumario: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 Fourier-Motzkin 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 Karush-Kuhn-Tucker conditions, duality and an interior point algorithm--Page [4] of cover.
Descripción Física:1 online resource (xiv, 283 pages) : illustrations
Bibliografía:Includes bibliographical references (pages 273-275) and index.
ISBN:9789814412520
981441252X
9789814412537
9814412538
9781299556331
1299556337