Abstract
Let and
denote the convex polytope of
centrosymmetric doubly substochastic matrices and the convex polytope of
symmetric and Hankel-symmetric doubly substochastic matrices, respectively. In this paper, we investigate and fully characterize the extreme points of
and
which generalizes the results by Brualdi and Cao in [Brualdi RA, Cao L. Symmetric, Hankel-symmetric, and centrosymmetric doubly stochastic matrices. ActaMath Vietnam. 2018;43:675–700].
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Acknowledgments
We are grateful to the anonymous referees for their very valuable comments on our paper.
Disclosure statement
No potential conflict of interest was reported by the authors.