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.
General
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