Idempotent Boolean matrices and majorization
โ Scribed by L. B. Beasley; A. E. Guterman; K.-T. Kang; S.-Z. Song
- Book ID
- 106435153
- Publisher
- Springer US
- Year
- 2008
- Tongue
- English
- Weight
- 195 KB
- Volume
- 152
- Category
- Article
- ISSN
- 1573-8795
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
We present an algorithm that generates all reduced idempotents in the semigroup of \(n \times n\) Boolean matrices. As a consequence, we obtain a method of listing all partial order relations on a finite set with \(n\) elements.
Several classes of substochastic matrices are introduced in higher dimensions, and some theorems about their extreme points are presented. An extension of a theorem of von Neumann concerning doubly substochastic matrices is discussed, and the classes for which this extension remains valid are determ