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Nonnegative Matrices and Applications

£62.99

Part of Encyclopedia of Mathematics and its Applications

  • Date Published: August 2009
  • availability: Available
  • format: Paperback
  • isbn: 9780521118668

£ 62.99
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  • 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.

    • Multidisciplinary applications from game theory, optimisation, mathematical programming, economics and statistics
    • Many results, most of them completely proved
    • Minimal prerequisites: each section of the book is self-contained and can be read independently
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    Product details

    • Date Published: August 2009
    • format: Paperback
    • isbn: 9780521118668
    • length: 356 pages
    • dimensions: 234 x 156 x 19 mm
    • weight: 0.5kg
    • availability: Available
  • Table of Contents

    Preface
    1. Perron-Frobenius theory and matrix games
    2. Doubly stochastic matrices
    3. Inequalities
    4. Conditionally positive definite matrices
    5. Topics in combinatorial theory
    6. Scaling problems and their applications
    7. Special matrices in economic models
    References
    Index
    Author index.

  • Authors

    R. B. Bapat, Indian Statistical Institute, New Delhi

    T. E. S. Raghavan, University of Illinois, Chicago

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