Symmetric, Hankel-Symmetric, and Centrosymmetric Doubly Stochastic Matrices

被引：10

作者：

Brualdi R.A. ^{[1
]}

Cao L. ^{[2
]}

机构：

[1] Department of Mathematics, University of Wisconsin, Madison, 53706, WI

[2] Department of Mathematics, Georgian Court University, Lakewood, 08701, NJ

来源：

Acta Mathematica Vietnamica | 2018年 / 43卷 / 4期

关键词：

Centrosymmetric; Doubly stochastic; Extreme point; Hankel-symmetric; Matrix; Permutation matrix; Symmetric;

D O I：

10.1007/s40306-018-0266-z

中图分类号：

学科分类号：

摘要：

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. © 2018, Institute of Mathematics, Vietnam Academy of Science and Technology (VAST) and Springer Nature Singapore Pte Ltd.

引用

页码：675 / 700

页数：25

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