Mathematics Faculty Proceedings, Presentations, Speeches, Lectures
Title
The Extreme Points of Certain Polytopes
Event Name/Location
American Mathematical Society Spring Southeastern Sectional Meeting, Auburn, Alabama, March 15-17, 2019
Document Type
Conference Proceeding
Publication Date
3-15-2019
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 poly- topes 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
Brualdi, Richard and Cao, Lei, "The Extreme Points of Certain Polytopes" (2019). Mathematics Faculty Proceedings, Presentations, Speeches, Lectures. 404.
https://nsuworks.nova.edu/cnso_math_facpres/404
ORCID ID
0000-0001-7613-7191
ResearcherID
G-7341-2019
COinS