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  3. Nonnegative Matrices and Applications
  • Cited by 303
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    • Publisher:
      Cambridge University Press
      Publication date:
      September 2009
      March 1997
      ISBN:
      9780511529979
      9780521571678
      9780521118668
      DOI:
      https://doi.org/10.1017/CBO9780511529979
      Dimensions:
      (234 x 156 mm)
      Weight & Pages:
      0.71kg, 356 Pages
      Dimensions:
      (234 x 156 mm)
      Weight & Pages:
      0.5kg, 356 Pages
      • Subjects:
      Mathematics (general), Mathematics, Discrete Mathematics Information Theory and Coding, Algebra
      Series:
      Encyclopedia of Mathematics and its Applications (64)
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    • Selected: Digital
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    Subjects:
    Mathematics (general), Mathematics, Discrete Mathematics Information Theory and Coding, Algebra
    Series:
    Encyclopedia of Mathematics and its Applications (64)
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    Book description

    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.

    Reviews

    "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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