Nonnegative Matrices and Applications (Encyclopedia of Mathematics and its Applications, Series Number 64)

Bapat, R. B.; Raghavan, T. E. S.

ISBN 10: 0521118662 / ISBN 13: 9780521118668

Edité par Cambridge University Press, 2009

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Détails bibliographiques

• Titre: Nonnegative Matrices and Applications (Encyclopedia of Mathematics and its Applications, Series Number 64)
• Éditeur: Cambridge University Press
• Date de parution: 2009
• Langue: anglais
• ISBN à 10 chiffres: 0521118662
• ISBN à 13 chiffres: 9780521118668
• Reliure: Couverture souple
• État de l'article: New

A propos de ce titre

Synopsis

An integrated approach for new graduate students, emphasising connections with game theory, optimisation, mathematical programming and statistics.

Présentation de l'éditeur

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.