Understanding And Using Linear Programming

Author: Jiri Matousek
Publisher: Springer Science & Business Media
ISBN: 3540307176
Size: 45.20 MB
Format: PDF, Kindle
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The book is an introductory textbook mainly for students of computer science and mathematics. Our guiding phrase is "what every theoretical computer scientist should know about linear programming". A major focus is on applications of linear programming, both in practice and in theory. The book is concise, but at the same time, the main results are covered with complete proofs and in sufficient detail, ready for presentation in class. The book does not require more prerequisites than basic linear algebra, which is summarized in an appendix. One of its main goals is to help the reader to see linear programming "behind the scenes".

Understanding And Using Linear Programming

Author: Jiri Matousek
Publisher: Springer Science & Business Media
ISBN: 3540306978
Size: 32.25 MB
Format: PDF, ePub, Mobi
View: 6650
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The book is an introductory textbook mainly for students of computer science and mathematics. Our guiding phrase is "what every theoretical computer scientist should know about linear programming". A major focus is on applications of linear programming, both in practice and in theory. The book is concise, but at the same time, the main results are covered with complete proofs and in sufficient detail, ready for presentation in class. The book does not require more prerequisites than basic linear algebra, which is summarized in an appendix. One of its main goals is to help the reader to see linear programming "behind the scenes".

Understanding And Using Linear Programming

Author: Jiri Matousek
Publisher: Springer
ISBN: 9783540818403
Size: 46.17 MB
Format: PDF, Kindle
View: 7506
Download
The book is an introductory textbook mainly for students of computer science and mathematics. Our guiding phrase is "what every theoretical computer scientist should know about linear programming". A major focus is on applications of linear programming, both in practice and in theory. The book is concise, but at the same time, the main results are covered with complete proofs and in sufficient detail, ready for presentation in class. The book does not require more prerequisites than basic linear algebra, which is summarized in an appendix. One of its main goals is to help the reader to see linear programming "behind the scenes".

Approximation Algorithms And Semidefinite Programming

Author: Bernd Gärtner
Publisher: Springer Science & Business Media
ISBN: 3642220150
Size: 50.97 MB
Format: PDF, ePub
View: 762
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Semidefinite programs constitute one of the largest classes of optimization problems that can be solved with reasonable efficiency - both in theory and practice. They play a key role in a variety of research areas, such as combinatorial optimization, approximation algorithms, computational complexity, graph theory, geometry, real algebraic geometry and quantum computing. This book is an introduction to selected aspects of semidefinite programming and its use in approximation algorithms. It covers the basics but also a significant amount of recent and more advanced material. There are many computational problems, such as MAXCUT, for which one cannot reasonably expect to obtain an exact solution efficiently, and in such case, one has to settle for approximate solutions. For MAXCUT and its relatives, exciting recent results suggest that semidefinite programming is probably the ultimate tool. Indeed, assuming the Unique Games Conjecture, a plausible but as yet unproven hypothesis, it was shown that for these problems, known algorithms based on semidefinite programming deliver the best possible approximation ratios among all polynomial-time algorithms. This book follows the “semidefinite side” of these developments, presenting some of the main ideas behind approximation algorithms based on semidefinite programming. It develops the basic theory of semidefinite programming, presents one of the known efficient algorithms in detail, and describes the principles of some others. It also includes applications, focusing on approximation algorithms.

Linear Programming

Author: Vasek Chvatal
Publisher: Macmillan
ISBN: 9780716715870
Size: 32.54 MB
Format: PDF, Docs
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For upper-division/graduate courses in operations research/management science, mathematics, and computer science, this text covers basic theory, selected applications, network flow problems, and advanced techniques.

Linear Programming

Author: Saul I. Gass
Publisher: Courier Corporation
ISBN: 048643284X
Size: 22.77 MB
Format: PDF, Docs
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Comprehensive, well-organized volume, suitable for undergraduates, covers theoretical, computational, and applied areas in linear programming. Expanded, updated edition; useful both as a text and as a reference book. 1995 edition.

Linear Programming

Author: Robert J Vanderbei
Publisher: Springer Science & Business Media
ISBN: 1475756623
Size: 49.40 MB
Format: PDF, ePub, Mobi
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This book provides an introduction to optimization. It details constrained optimization, beginning with a substantial treatment of linear programming and proceeding to convex analysis, network flows, integer programming, quadratic programming, and convex optimization. Coverage underscores the purpose of optimization: to solve practical problems on a computer. C programs that implement the major algorithms and JAVA tools are available online.

Numerical Optimization

Author: Joseph-Frédéric Bonnans
Publisher: Springer Science & Business Media
ISBN: 3662050781
Size: 51.75 MB
Format: PDF, ePub
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This book starts with illustrations of the ubiquitous character of optimization, and describes numerical algorithms in a tutorial way. It covers fundamental algorithms as well as more specialized and advanced topics for unconstrained and constrained problems. This new edition contains computational exercises in the form of case studies which help understanding optimization methods beyond their theoretical description when coming to actual implementation.

Programming For Mathematicians

Author: Raymond Seroul
Publisher: Springer Science & Business Media
ISBN: 3642571298
Size: 69.74 MB
Format: PDF
View: 7172
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Aimed at teaching mathematics students how to program using their knowledge of mathematics, the entire books emphasis is on "how to think" when programming. Three methods for constructing an algorithm or a program are used: manipulation and enrichment of existing code; use of recurrent sequences; deferral of code writing, in order to deal with one difficulty at a time. Many theorems are mathematically proved and programmed, and the text concludes with an explanation of how a compiler works and how to compile "by hand" little programs. Intended for anyone who thinks mathematically and wants to program and play with mathematics.

An Illustrated Guide To Linear Programming

Author: Saul I. Gass
Publisher: Courier Corporation
ISBN: 0486319601
Size: 40.44 MB
Format: PDF, Docs
View: 7376
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Entertaining, nontechnical introduction covers basic concepts of linear programming and its relationship to operations research; geometric interpretation and problem solving, solution techniques, network problems, much more. Only high-school algebra needed.