Symmetric, Hankel-symmetric, and Centrosymmetric Doubly Stochastic Matrices

Event Name/Location

7th International Conference on Matrix Analysis and Applications, Nagano, Japan, June 22-25, 2018

Presentation Date

6-23-2018

Document Type

Conference Proceeding

Presenters / Authors

Lei Cao, Georgian Court UniversityFollow
Richard Brualdi, University of Wisconsin-Madison

ORCID ID

0000-0001-7613-7191

ResearcherID

G-7341-2019

Description

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.

NSUWorks Citation

Cao, Lei and Brualdi, Richard, "Symmetric, Hankel-symmetric, and Centrosymmetric Doubly Stochastic Matrices" (2018). Mathematics Faculty Proceedings, Presentations, Speeches, Lectures. 401.
https://nsuworks.nova.edu/cnso_math_facpres/401