Nonnegative Matrices in the Mathematical Sciences

✍ Scribed by Abraham Berman and Robert J. Plemmons (Auth.)

• Publisher: Elsevier Inc, Academic Press
• Year: 1979
• Tongue: English
• Leaves: 329
• Series: Computer science and 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

Content:
Inside Front Cover, Page ii
Front Matter, Page iii
Copyright, Page iv
Dedication, Page v
PREFACE, Pages xi-xiii
ACKNOWLEDGMENTS, Page xv
SYMBOLS, Pages xvii-xviii
CHAPTER 1 - MATRICES WHICH LEAVE A CONE INVARIANT, Pages 1-25
CHAPTER 2 - NONNEGATIVE MATRICES, Pages 26-62
CHAPTER 3 - SEMIGROUPS OF NONNEGATIVE MATRICES, Pages 63-86
CHAPTER 4 - SYMMETRIC NONNEGATIVE MATRICES, Pages 87-111
CHAPTER 5 - GENERALIZED INVERSE-POSITIVITY, Pages 112-131
CHAPTER 6 - M-MATRICES, Pages 132-164
CHAPTER 7 - ITERATIVE METHODS FOR LINEAR SYSTEMS, Pages 165-209
CHAPTER 8 - FINITE MARKOV CHAINS, Pages 210-241
CHAPTER 9 - INPUT–OUTPUT ANALYSIS IN ECONOMICS, Pages 242-269
CHAPTER 10 - THE LINEAR COMPLEMENTARITY PROBLEM, Pages 270-297
REFERENCES, Pages 298-312
INDEX, Pages 313-316
Inside Back Cover, Pages ibc1-ibc3