ENGLISH

Linear programming duality

By Achim Bachem , Walter Kern

Book information

Publisher
Springer
Year
1992
ISBN
0387554173, 9780387554174, 3540554173, 9783540554172
LCC
QA166.6 .B33 1992
Google Books ID
BlUoGYB4mgkC
Open Library ID
OL1711987M
Language
english
Format
DJVU
Filesize
2 MB (1917344 bytes)
Series
Universitext
Pages
218\218
Library
Kolxo3
DPI
600
Orientation
yes
Scanned
yes
Time added
2010-07-29 05:14:56

Description

This book presents an elementary introduction to the theory of oriented matroids. The way oriented matroids are introduced emphasizes that they are the most general - and hence simplest - structures for which linear Programming Duality results can be stated and proved. The main theme of the book is duality. Using Farkas' Lemma as the basis the authors start with results on polyhedra in Rn and show how to restate the essence of the proofs in terms of sign patterns of oriented matroids. Most of the standard material in Linear Programming is presented in the setting of real space as well as in the more abstract theory of oriented matroids. This approach clarifies the theory behind Linear Programming and proofs become simpler. The last part of the book deals with the facial structure of polytopes respectively their oriented matroid counterparts. It is an introduction to more advanced topics in oriented matroid theory. Each chapter contains suggestions for further reading and the references provide an overview of the research in this field.

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