Nonnegative Matrices and Applications

By: R. B. Bapat, T. E. S. Raghavan, G. -C Rota (Editor)

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Hardcover | 18 August 1997

At a Glance

Hardcover
356 Pages

Dimensions(cm)
23.39 x 15.6 x 2.06

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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.

Industry Reviews

"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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You Can Find This Book In

Non-Fiction Mathematics Algebra Mathematical Foundation Optimisation Game Theory

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Paperback

Published: 20th August 2009

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Preface
Perron-Frobenius theory and matrix games
Doubly stochastic matrices
Inequalities
Conditionally positive definite matrices
Topics in combinatorial theory
Scaling problems and their applications
Special matrices in economic models
References
Index
Author index
Table of Contents provided by Publisher. All Rights Reserved.

Nonnegative Matrices and Applications

At a Glance

Hardcover

Industry Reviews

Shipping

How to return your order

Defective items

You Can Find This Book In

Other Editions and Formats

Paperback

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