Nonnegative Matrices and Applications

Nonnegative Matrices and Applications

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

ISBN-10: 0521118662

ISBN-13: 9780521118668

Pub. Date: 08/20/2009

Publisher: Cambridge University Press

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

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Overview

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.

Product Details

ISBN-13:
9780521118668
Publisher:
Cambridge University Press
Publication date:
08/20/2009
Series:
Encyclopedia of Mathematics and its Applications Series, #64
Edition description:
New Edition
Pages:
356
Product dimensions:
6.20(w) x 9.30(h) x 0.80(d)

Related Subjects

Table of Contents

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.

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