Nonnegative Matrices in the Mathematical Sciences (Classics in Applied Mathematics)

✍ Scribed by Abraham Berman, Robert J. Plemmons

• Publisher: Society for Industrial Mathematics
• Year: 1987
• Tongue: English
• Leaves: 361
• Series: Classics in Applied Mathematics
• Category: Library

✦ Synopsis

Here is a valuable text and research tool for scientists and engineers who use or work with theory and computation associated with practical problems relating to Markov chains and queuing networks, economic analysis, or mathematical programming. Originally published in 1979, this new edition adds material that updates the subject relative to developments from 1979 to 1993. Theory and applications of nonnegative matrices are blended here, and extensive references are included in each area. You will be led from the theory of positive operators via the Perron-Frobenius theory of nonnegative matrices and the theory of inverse positivity, to the widely used topic of M-matrices.

✦ Table of Contents

Nonnegative Matrices in the Mathematical Sciences......Page 2
ISBN 0-89871-321-8......Page 3
Contents......Page 8
Preface to the Classics Edition......Page 12
Preface......Page 14
Acknowledgments......Page 18
Symbols......Page 20
1 Matrices Which Leave a Cone Invariant......Page 22
2 Nonnegative Matrices......Page 47
3 Semigroups of Nonnegative Matrices......Page 84
4 Symmetric Nonnegative Matrices......Page 108
5 Generalized Inverse-Positivity......Page 133
6 M-Matrices......Page 153
7 Iterative Methods for Linear Systems......Page 186
8 Finite Markov Chains......Page 232
9 Input-Output Analysis in Economics......Page 264
10 The Linear Complementarity Problem......Page 292
11 Supplement 1979-1993......Page 320
References......Page 343
Index......Page 358