Review of nonnegative matrices and applications by R.B. Bapat and T.E.S. Raghavan: Steve Kirkland, Department of Mathematics and Statistics, University of Regina, Regina, Saskatchewan, Canada, S4S 0A2
- Publisher
- Elsevier Science
- Year
- 1998
- Tongue
- English
- Weight
- 194 KB
- Volume
- 277
- Category
- Article
- ISSN
- 0024-3795
No coin nor oath required. For personal study only.
✦ Synopsis
The study of matrices with nonnegative entries began in the early part of this century with the pioneering work of Perron, who proved that a square matrix with positive entries has a positive dominant eigenvalue (the Perron value).
Since that time, nonnegative matrix theory has evolved into a thriving enterprise. The subject has flourished in part because it has been informed by other areas of mathematics (for example combinatorics, numerical analysis, and probability) and because of its applications in other disciplines (such as economics, statistics, and operations research). These connections have enriched the subject both by furnishing interesting questions and new research directions, and by providing techniques with which to solve problems. Consequently, the literature involving ideas related to nonnegative matrices is remarkably diverse, and Bapat and Raghavan's Nonnegative Matrices and Applications presents a varied selection of results from this body of work. The