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
收藏
页码：675 / 700
页数：25
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