Mathematics Faculty Articles
Symmetric, Hankel-Symmetric, and Centrosymmetric Doubly Stochastic Matrices
Document Type
Article
Publication Date
12-1-2018
Publication Title
Acta Mathematica Vietnamica
Keywords
Centrosymmetric, Doubly stochastic, Extreme point, Hankel-symmetric, Matrix, Permutation matrix, Symmetric
ISSN
02514184
Volume
43
Issue/No.
4
First Page
675
Last Page
700
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.
NSUWorks Citation
Brualdi, Richard A. and Cao, Lei, "Symmetric, Hankel-Symmetric, and Centrosymmetric Doubly Stochastic Matrices" (2018). Mathematics Faculty Articles. 325.
https://nsuworks.nova.edu/math_facarticles/325
ORCID ID
0000-0001-7613-7191
ResearcherID
G-7341-2019
DOI
10.1007/s40306-018-0266-z
