Understanding and Using Linear Programming

• Jiří Matoušek
• Bernd Gärtner
Textbook

Part of the Universitext book series (UTX)

1. Front Matter
Pages I-VIII
2. Jiří Matoušek, Bernd Gärtner
Pages 1-10
3. Jiří Matoušek, Bernd Gärtner
Pages 11-27
4. Jiří Matoušek, Bernd Gärtner
Pages 29-40
5. Jiří Matoušek, Bernd Gärtner
Pages 41-56
6. Jiří Matoušek, Bernd Gärtner
Pages 57-79
7. Jiří Matoušek, Bernd Gärtner
Pages 81-104
8. Jiří Matoušek, Bernd Gärtner
Pages 105-130
9. Jiří Matoušek, Bernd Gärtner
Pages 131-191
10. Jiří Matoušek, Bernd Gärtner
Pages 193-193
11. Back Matter
Pages 195-226

Introduction

This is an introductory textbook of linear programming, written mainly for students of computer science and mathematics. Our guiding phrase is, "what every theoretical computer scientist should know about linear programming". The book is relatively concise, in order to allow the reader to focus on the basic ideas. For a number of topics commonly appearing in thicker books on the subject, we were seriously tempted to add them to the main text, but we decided to present them only very brie?y in a separate glossary. At the same time, we aim at covering the main results with complete proofs and in su?cient detail, in a way ready for presentation in class. One of the main focuses is applications of linear programming, both in practice and in theory. Linear programming has become an extremely ?- ible tool in theoretical computer science and in mathematics. While many of the ?nest modern applications are much too complicated to be included in an introductory text, we hope to communicate some of the ?avor (and excitement) of such applications on simpler examples.

Keywords

Computer algorithm computer science linear algebra linear optimization linear programming optimization programming

Authors and affiliations

• Jiří Matoušek
• 1
• Bernd Gärtner
• 2
1. 1.Department of Applied MathematicsCharles UniversityPraha 1Czech Republic
2. 2.Institute of Theoretical Computer ScienceETH ZurichZurichSwitzerland

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