Paperback. 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. An integrated approach to the theory of nonnegative matrices, emphasising connections with game theory, optimisation, mathematical programming, mathematical economics and statistics. The minimal prerequisites make this accessible to new graduate students. Shipping may be from our UK warehouse or from our Australian or US warehouses, depending on stock availability.

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Titolo: Nonnegative Matrices and Applications (Paperback)
Editore: Cambridge University Press, Cambridge
Data di pubblicazione: 2009
Lingua: Inglese
ISBN 10: 0521118662
ISBN 13: 9780521118668
Rilegatura: Paperback
Condizione: new

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

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"It is a great work; great by its dimensions, written with extreme love and care, concentrating the knowledge of a generation which was supreme in the history of matrix theory. It is a very illuminating and highly readable exposition of interesting topics which are of great relevance both to theory and applications." Mathematical Reviews Clippings 98h

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