TY - BOOK ID - 77895448 TI - Nonnegative matrices and applications AU - Bapat, R. B. AU - Raghavan, T. E. S. PY - 1997 VL - v. 64 SN - 1139886681 0511967861 1107103282 0521118662 0511835744 1107095131 1107088941 051152997X 110709187X 9781107088948 9780511529979 0521571677 9780521571678 9780521118668 9781139886680 PB - Cambridge : Cambridge University Press, DB - UniCat KW - Non-negative matrices. KW - System analysis. KW - Network analysis KW - Network science KW - Network theory KW - Systems analysis KW - System theory KW - Mathematical optimization KW - Nonnegative matrices KW - Matrices UR - https://www.unicat.be/uniCat?func=search&query=sysid:77895448 AB - 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. ER -