Linear operators preserving strong majorization of (0,1)-matrices

被引：0
|
作者：
Guterman, Alexander [1 ,2 ,3 ]
Shteyner, Pavel [1 ,2 ,4 ]
机构：
[1] Bar Ilan Univ, IL-5290002 Ramat Gan, Israel
[2] Moscow Ctr Fundamental & Appl Math, Moscow 119991, Russia
[3] Lomonosov Moscow State Univ, Moscow 119991, Russia
[4] Moscow Ctr Continuous Math Educ, Moscow 119002, Russia
来源：
LINEAR ALGEBRA AND ITS APPLICATIONS | 2023年 / 658卷
基金：
俄罗斯科学基金会;
关键词：
Matrix majorization; Vector majorization; Linear preservers; WEAK;
D O I：
10.1016/j.laa.2022.10.028
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We obtain a complete characterization of linear operators that preserve strong majorization on (0, 1)-matrices. To do this we introduce a new matrix invariant of combinatorial nature. We call this invariant an intersection index of a matrix and develop a method to characterize the matrix maps based on the analysis of its properties. (c) 2022 Elsevier Inc. All rights reserved.
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页码：116 / 150
页数：35
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