Nonnegative Matrices and Applications (Encyclopedia of Mathematics and its Applications, Series Number 64) - Softcover

Book 51 of 188: Encyclopedia of Mathematics and its Applications

Bapat, R. B.; Raghavan, T. E. S.

 
9780521118668: Nonnegative Matrices and Applications (Encyclopedia of Mathematics and its Applications, Series Number 64)
Softcover
ISBN 10: 0521118662 ISBN 13: 9780521118668
Publisher: Cambridge University Press, 2009

Synopsis

This book provides an integrated treatment of the theory of nonnegative matrices and some related classes of positive matrices, concentrating on connections with game theory, combinatorics, inequalities, optimization and mathematical economics. The authors have chosen the wide variety of applications, which include price fixing, scheduling, and the fair division problem, both for their elegant mathematical content and for their accessibility to students with minimal preparation. They present many new results in matrix theory for the first time in book form, while they present more standard topics in a novel fashion. The treatment is rigorous and almost all results are proved completely. These new 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.

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Book Description

Nonnegative matrices (matrices with only positive numbers or zero as entries) arise in a variety of applications. This book provides an integrated approach to this area, emphasizing connections with game theory, combinatorics, optimization, mathematical programming, mathematical economics and statistics. The treatment is rigorous and almost all results are proved completely. Researchers in these areas will find many new results and applications in this book. The minimal prerequisites will also make it accessible to graduate students.

Review

"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 98h

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Publisher
Cambridge University Press
Publication date
2009
Language
English
ISBN 10 
0521118662
ISBN 13 
9780521118668
Binding
Paperback
Edition number
1
Number of pages
356

Other Popular Editions of the Same Title

9780521571678: Nonnegative Matrices and Applications (Encyclopedia of Mathematics and its Applications, Series Number 64)

Featured Edition

ISBN 10:  0521571677 ISBN 13:  9780521571678
Publisher: Cambridge University Press, 1997
Hardcover