Nonnegative Matrices and Applications

Nonnegative Matrices and Applications by R. B. Bapat, published by Cambridge University Press on March 28, 1997, is a comprehensive exploration of the theory of nonnegative matrices and related positive matrices. This edition spans 336 pages and is presented in English, offering a detailed examination of the connections between matrix theory and various fields such as game theory, combinatorics, and optimization.

Readers will find a rigorous treatment of both new and standard topics in matrix theory, with a focus on applications that include price fixing, scheduling, and the fair division problem. The book is designed to be accessible to students with minimal preparation, making it suitable for first-year graduate students. The authors present many results for the first time in book form, ensuring that both researchers in linear programming and those interested in mathematical economics will find valuable insights within its pages.