Nonnegative Matrices and Applications

Kirjan Nonnegative Matrices and Applications (2009) on kirjoittanut R. B. Bapat. Kirjan kieli on englanti, ja sen on kustantanut Cambridge University Press. Kirja on laajuudeltaan 356 sivua ja se on pokkari.

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.