Internformat: Undergraduate convexity

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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1. Verfasser:	Lauritzen, Niels 1964- (VerfasserIn)
Format:	Elektronisch E-Book
Sprache:	English
Veröffentlicht:	Singapore World Scientific Pub. Co. c2013
Schlagworte:	Convex domains Convex functions Algebras, Linear Mathematical optimization Konvexe Funktion Konvexität Konvexe Menge Lehrbuch
Online-Zugang:	FHN01 Volltext
Zusammenfassung:	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
Beschreibung:	xiv, 283 p. ill., ports
ISBN:	9789814412520

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spelling	Lauritzen, Niels 1964- Verfasser aut Undergraduate convexity from Fourier and Motzkin to Kuhn and Tucker Niels Lauritzen Singapore World Scientific Pub. Co. c2013 xiv, 283 p. ill., ports txt rdacontent c rdamedia cr rdacarrier 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 Convex domains Convex functions Algebras, Linear Mathematical optimization Konvexe Funktion (DE-588)4139679-0 gnd rswk-swf Konvexität (DE-588)4114284-6 gnd rswk-swf Konvexe Menge (DE-588)4165212-5 gnd rswk-swf 1\p (DE-588)4123623-3 Lehrbuch gnd-content Konvexität (DE-588)4114284-6 s Konvexe Menge (DE-588)4165212-5 s Konvexe Funktion (DE-588)4139679-0 s 2\p DE-604 Erscheint auch als Druck-Ausgabe 9789814412513 Erscheint auch als Druck-Ausgabe 9789814452762 (pbk) http://www.worldscientific.com/worldscibooks/10.1142/8527#t=toc Verlag URL des Erstveroeffentlichers Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk
spellingShingle	Lauritzen, Niels 1964- Undergraduate convexity from Fourier and Motzkin to Kuhn and Tucker Convex domains Convex functions Algebras, Linear Mathematical optimization Konvexe Funktion (DE-588)4139679-0 gnd Konvexität (DE-588)4114284-6 gnd Konvexe Menge (DE-588)4165212-5 gnd
subject_GND	(DE-588)4139679-0 (DE-588)4114284-6 (DE-588)4165212-5 (DE-588)4123623-3
title	Undergraduate convexity from Fourier and Motzkin to Kuhn and Tucker
title_auth	Undergraduate convexity from Fourier and Motzkin to Kuhn and Tucker
title_exact_search	Undergraduate convexity from Fourier and Motzkin to Kuhn and Tucker
title_full	Undergraduate convexity from Fourier and Motzkin to Kuhn and Tucker Niels Lauritzen
title_fullStr	Undergraduate convexity from Fourier and Motzkin to Kuhn and Tucker Niels Lauritzen
title_full_unstemmed	Undergraduate convexity from Fourier and Motzkin to Kuhn and Tucker Niels Lauritzen
title_short	Undergraduate convexity
title_sort	undergraduate convexity from fourier and motzkin to kuhn and tucker
title_sub	from Fourier and Motzkin to Kuhn and Tucker
topic	Convex domains Convex functions Algebras, Linear Mathematical optimization Konvexe Funktion (DE-588)4139679-0 gnd Konvexität (DE-588)4114284-6 gnd Konvexe Menge (DE-588)4165212-5 gnd
topic_facet	Convex domains Convex functions Algebras, Linear Mathematical optimization Konvexe Funktion Konvexität Konvexe Menge Lehrbuch
url	http://www.worldscientific.com/worldscibooks/10.1142/8527#t=toc
work_keys_str_mv	AT lauritzenniels undergraduateconvexityfromfourierandmotzkintokuhnandtucker

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