Symmetric, Hankel-symmetric, and Centrosymmetric Doubly Stochastic Matrices
Combinatorics
2017-12-11 v1
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.
Keywords
Cite
@article{arxiv.1712.03129,
title = {Symmetric, Hankel-symmetric, and Centrosymmetric Doubly Stochastic Matrices},
author = {Richard R. Brualdi and Lei Cao},
journal= {arXiv preprint arXiv:1712.03129},
year = {2017}
}