Nonnegative Matrices and Applications
1st Edition
Published on 6. February 2011
978-0-511-83574-2 (ISBN)
Description
This book provides an integrated treatment of the theory of nonnegative matrices (matrices with only positive numbers or zero as entries) and some related classes of positive matrices, concentrating on connections with game theory, combinatorics, inequalities, optimisation and mathematical economics. The wide variety of applications, which include price fixing, scheduling and the fair division problem, have been carefully chosen both for their elegant mathematical content and for their accessibility to students with minimal preparation. Many results in matrix theory are also presented. The treatment is rigorous and almost all results are proved completely. These results and applications will be of great interest to researchers in linear programming, statistics and operations research. The minimal prerequisites also make the book accessible to first-year graduate students.
Reviews / Votes
"It is a great work; great by its dimensions, written with extreme love and care, concentrating the knowledge of a generation which was supreme in the history of matrix theory. It is a very illuminating and highly readable exposition of interesting topics which are of great relevance both to theory and applications." Mathematical Reviews Clippings 98hMore details
Series
Language
English
Place of publication
Cambridge
United Kingdom
Publishing group
Cambridge University Press
Target group
Professional and scholarly
Illustrations
Worked examples or Exercises
File size
32,10 MB
ISBN-13
978-0-511-83574-2 (9780511835742)
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Schweitzer Classification
Other editions
Additional editions
R. B. Bapat | T. E. S. Raghavan
Nonnegative Matrices and Applications
Book
08/2009
Cambridge University Press
€95.90
Shipment within 15-20 days
R. B. Bapat | T. E. S. Raghavan
Nonnegative Matrices and Applications
Book
03/1997
Cambridge University Press
€173.40
Shipment within 15-20 days
Persons
Content
Preface; 1. Perron-Frobenius theory and matrix games; 2. Doubly stochastic matrices; 3. Inequalities; 4. Conditionally positive definite matrices; 5. Topics in combinatorial theory; 6. Scaling problems and their applications; 7. Special matrices in economic models; References; Index; Author index.
