Nonnegative Matrices and Applications (Encyclopedia of Mathematics and its Applications, Series Number 64) 1st Edition by R. B. Bapat (PDF)

Description

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.

User’s Reviews

Editorial Reviews: 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 Book Description An integrated approach for new graduate students, emphasising connections with game theory, optimisation, mathematical programming and statistics.

Reviews from Amazon users which were colected at the time this book was published on the website:

⭐A very nice and well organized book with very interesting examples from classical economic theory

Keywords

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