Articles liés à Nonnegative Matrices and Applications
Synopsis
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.
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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.
Revue de presse
"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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Nonnegative Matrices and Applications
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Cambridge University Press, New York, 1997
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ISBN 13 : 9780521571678
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Hardcover. 336 pages.This is Encyclopedia of Mathematics and its Applications #64. "This book presents an integrated treatment of the theory of nonegative matrices, emphasizing connections with the themes of game theory, comvinatorics, inequalities, optimization, and mathematical economics. Some related classes of postive matrices such as positive semidefinite matrices, M-matrices, P-matrices and distance matrices are also discussed." slight fading to spine of dj; 1/8 x 1/8 inch chip from top edge of rear cover of dj (dj now in mylar protector). ; 6 1/2 x 9 1/2 " As New in Near Fine dust jacket. N° de réf. du vendeur 98107
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Nonnegative Matrices and Applications (Encyclopedia of Mathematics and its Applications, Series Number 64)
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Nonnegative Matrices and Applications (Encyclopedia of Mathematics and its Applications)
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Nonnegative Matrices and Applications (Encyclopedia of Mathematics and its Applications, Series Number 64)
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