Nonnegative Matrices and Applications

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

ISBN 10: 0521571677 / ISBN 13: 9780521571678

Published by Cambridge University Press, GB, 1997

About this Item

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.

Seller Inventory # LU-9780521571678

Bibliographic Details

• Title: Nonnegative Matrices and Applications
• Publisher: Cambridge University Press, GB
• Publication Date: 1997
• Language: English
• ISBN 10: 0521571677
• ISBN 13: 9780521571678
• Binding: Hardback
• Condition: New
• Weight: 710 grams

About this title

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.

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.