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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| Main Author: | |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Singapore
World Scientific Pub. Co.
c2013
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| Subjects: | |
| Online Access: | FHN01 Volltext |
| Summary: | 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 |
| Physical Description: | xiv, 283 p. ill., ports |
| ISBN: | 9789814412520 |
Staff View
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| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Electronic eBook |
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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 |