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arXiv · 1712.03129

Symmetric, Hankel-symmetric, and Centrosymmetric Doubly Stochastic Matrices

Richard R. Brualdi·Lei Cao
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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.

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Richard R. Brualdi, Lei Cao. 2017-12-08. Symmetric, Hankel-symmetric, and Centrosymmetric Doubly Stochastic Matrices. https://arxiv.org/abs/1712.03129

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