Symmetric, Hankel-symmetric, and Centrosymmetric Doubly Stochastic Matrices
7th International Conference on Matrix Analysis and Applications, Nagano, Japan, June 22-25, 2018
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.
Cao, Lei and Brualdi, Richard, "Symmetric, Hankel-symmetric, and Centrosymmetric Doubly Stochastic Matrices" (2018). Mathematics Faculty Proceedings, Presentations, Speeches, Lectures. 401.