Nonnegative matrices and applications

Bibliographic Information

Nonnegative matrices and applications

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

(Encyclopedia of mathematics and its applications / edited by G.-C. Rota, v. 64)

Cambridge University Press, 1997

  • : pbk

Available at  / 101 libraries

Search this Book/Journal

Note

Includes bibliographical references (p. 315-328), index, and author index

Description and Table of Contents

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.

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.

by "Nielsen BookData"

Related Books: 1-1 of 1

Details

  • NCID
    BA3031646X
  • ISBN
    • 0521571677
    • 9780521118668
  • LCCN
    96012844
  • Country Code
    uk
  • Title Language Code
    eng
  • Text Language Code
    eng
  • Place of Publication
    Cambridge
  • Pages/Volumes
    xiii, 336 p.
  • Size
    24 cm
  • Classification
  • Subject Headings
  • Parent Bibliography ID
Page Top