Nonnegative Matrices and Applications

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

Inbunden, Engelska, 1997

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Beskrivning

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.

Produktinformation

Utgivningsdatum:1997-03-28
Mått:164 x 242 x 26 mm
Vikt:710 g
Format:Inbunden
Språk:Engelska
Serie:Encyclopedia of Mathematics and its Applications
Antal sidor:356
Förlag:Cambridge University Press
ISBN:9780521571678

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Recensioner i media

"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

Innehållsförteckning

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.