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Symmetric, Hankel-Symmetric, and Centrosymmetric Doubly Stochastic Matrices
Richard A. Brualdi
,
Lei Cao
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.