Abstract
We investigate convex polytopes of doubly stochastic matrices having special structures: symmetric, Hankel-symmetric, centrosymmetric, and both symmetric and Hankel-symmetric. We determine dimensions of these polytopes and classify their extreme points. We also determine a basis of the real vector spaces generated by permutation matrices with these special structures.
| Original language | English |
|---|---|
| Pages (from-to) | 675-700 |
| Number of pages | 26 |
| Journal | Acta Mathematica Vietnamica |
| Volume | 43 |
| Issue number | 4 |
| DOIs | |
| State | Published - Dec 1 2018 |
| Externally published | Yes |
Bibliographical note
Publisher Copyright:© 2018, Institute of Mathematics, Vietnam Academy of Science and Technology (VAST) and Springer Nature Singapore Pte Ltd.
ASJC Scopus Subject Areas
- General Mathematics
Keywords
- Centrosymmetric
- Doubly stochastic
- Extreme point
- Hankel-symmetric
- Matrix
- Permutation matrix
- Symmetric
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