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Linear Programming Duality - Achim Bachem, Walter Kern
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Achim Bachem, Walter Kern:

Linear Programming Duality - new book

1992, ISBN: 3540554173

Der Begriff der Dualität in der linearen Programmierung ist von zentraler Bedeutung in der kombinatorischen Optimierung. Beide Autoren haben viele Jahre auf diesem Gebiet gearbeitet. Sie … More...

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Linear Programming Duality: An Introduction To Oriented Matroids (Universitext) - Bachem, Achim
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Bachem, Achim:

Linear Programming Duality: An Introduction To Oriented Matroids (Universitext) - Paperback

2013, ISBN: 9783540554172

Springer, Taschenbuch, Auflage: 1992, 224 Seiten, Publiziert: 2013-10-04T00:00:01Z, Produktgruppe: Buch, Hersteller-Nr.: 40 black & white illustrations, 0.72 kg, Recht, Kategorien, Bücher… More...

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Linear Programming Duality An Introduction to Oriented Matroids 1992 - Achim Bachem, Walter Kern
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Achim Bachem, Walter Kern:
Linear Programming Duality An Introduction to Oriented Matroids 1992 - used book

1992

ISBN: 9783540554172

1992 Gepflegter, sauberer Zustand. Aus der Auflösung einer renommierten Bibliothek. Kann Stempel beinhalten. 105459/202 Versandkostenfreie Lieferung Linear, Programming, Duality, Orient… More...

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Linear Programming Duality - Achim Bachem/ Walter Kern
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Achim Bachem/ Walter Kern:
Linear Programming Duality - Paperback

ISBN: 9783540554172

*Linear Programming Duality* - An Introduction to Oriented Matroids. Auflage 1992 / Taschenbuch für 96.49 € / Aus dem Bereich: Bücher, Ratgeber, Computer & Internet Medien > Bücher nein B… More...

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Linear Programming Duality An Introduction to Oriented Matroids - Bachem, Achim und Walter Kern
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Bachem, Achim und Walter Kern:
Linear Programming Duality An Introduction to Oriented Matroids - used book

1992, ISBN: 9783540554172

[PU: Springer Berlin], Gepflegter, sauberer Zustand. Aus der Auflösung einer renommierten Bibliothek. Kann Stempel beinhalten. 105459/202, DE, [SC: 0.00], gebraucht; sehr gut, gewerblich… More...

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Details of the book
Linear Programming Duality
Author:
Title:
ISBN:

3540554173


This book presents an elementary introduction to the theoryof oriented matroids. The way oriented matroids are intro-duced emphasizes that they are the most general - and hencesimplest - structures for which linear Programming Dualityresults can be stated and proved. The main theme of the bookis duality.Using Farkas' Lemma as the basis the authors start withre-sults on polyhedra in Rn and show how to restate the essenceof the proofs in terms of sign patterns of oriented ma-troids. Most of the standard material in Linear Programmingis presented in the setting of real space as well as in themore abstract theory of oriented matroids. This approachclarifies the theory behind Linear Programming and proofsbecome simpler.The last part of the book deals with the facial structure ofpolytopes respectively their oriented matroid counterparts.It is an introduction to more advanced topics in orientedmatroid theory. Each chapter contains suggestions for furt-herreading and the references provide an overview of theresearch in this field.

Details of the book - Linear Programming Duality


EAN (ISBN-13): 9783540554172
ISBN (ISBN-10): 3540554173
Paperback
Publishing year: 1992
Publisher: Springer Berlin Heidelberg
216 Pages
Weight: 0,337 kg

Book in our database since 2007-02-16T20:09:56+00:00 (London)
Detail page last modified on 2024-03-11T16:44:17+00:00 (London)
ISBN/EAN: 3540554173

ISBN - alternate spelling:
3-540-55417-3, 978-3-540-55417-2
Alternate spelling and related search-keywords:
Book author: walter kern, bachem, stock, university twente
Book title: introduction, duality, linear programming, matroid, oriented matroids, walter kern, englisch berlin

Information from Publisher

Author: Achim Bachem; Walter Kern
Title: Universitext; Linear Programming Duality - An Introduction to Oriented Matroids
Publisher: Springer; Springer Berlin
218 Pages
Publishing year: 1992-07-30
Berlin; Heidelberg; DE
Language: English
96,29 € (DE)
98,99 € (AT)
106,50 CHF (CH)
Available
IV, 218 p.

BC; Hardcover, Softcover / Mathematik/Sonstiges; Unternehmensforschung; Verstehen; Algebra; Linear Programming Duality; Lineare Optimierungsdualität; Oriented Matroids; Orientierte Matroide; Polyedertheorie; Polyhedral Theory; linear algebra; linear optimization; Operations Research, Management Science; Algebra; Econometrics; Calculus of Variations and Optimization; Quantitative Economics; Operations Research and Decision Theory; Algebra; Ökonometrie und Wirtschaftsstatistik; Optimierung; Wirtschaftstheorie und -philosophie; Management: Entscheidungstheorie; EA

1 Prerequisites.- 7.1 Sets and Relations.- 10.2 Linear Algebra.- 14.3 Topology.- 15.4 Polyhedra.- 2 Linear Duality in Graphs.- 2.1 Some Definitions.- 2.2 FARKAS’ Lemma for Graphs.- 2.3 Subspaces Associated with Graphs.- 2.4 Planar Graphs.- 2.5 Further Reading.- 3 Linear Duality and Optimization.- 3.1 Optimization Problems.- 3.2 Recognizing Optimal Solutions.- 3.3 Further Reading.- 4 The FARKAS Lemma.- 4.1 A first version.- 4.2 Homogenization.- 4.3 Linearization.- 4.4 Delinearization.- 4.5 Dehomogenization.- 4.6 Further Reading.- 5 Oriented Matroids.- 5.1 Sign Vectors.- 5.2 Minors.- 5.3 Oriented Matroids.- 5.4 Abstract Orthogonality.- 5.5 Abstract Elimination Property.- 5.6 Elementary vectors.- 5.7 The Composition Theorem.- 5.8 Elimination Axioms.- 5.9 Approximation Axioms.- 5.10 Proof of FARKAS’ Lemma in OMs.- 5.11 Duality.- 5.12 Further Reading.- 6 Linear Programming Duality.- 6.1 The Dual Program.- 6.2 The Combinatorial Problem.- 6.3 Network Programming.- 6.4 Further Reading.- 7 Basic Facts in Polyhedral Theory.- 7.1 MINKOWSKI’S Theorem.- 7.2 Polarity.- 7.3 Faces of Polyhedral Cones.- 7.4 Faces and Interior Points.- 7.5 The Canonical Map.- 7.6 Lattices.- 7.7 Face Lattices of Polars.- 7.8 General Polyhedra.- 7.9 Further Reading.- 8 The Poset (O, ?).- 8.1 Simplifications.- 8.2 Basic Results.- 8.3 Shellability of Topes.- 8.4 Constructibility of O.- 8.5 Further Reading.- 9 Topological Realizations.- 9.1 Linear Sphere Systems.- 9.2 A Nonlinear OM.- 9.3 Sphere Systems.- 9.4 PL Ball Complexes.- 9.5 Further Reading.
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