Maps preserving matrices of extremal scrambling index

被引：1

作者：

Guterman, A. E. ^{[1
,2
]}

Maksaev, A. M. ^{[1
,2
]}

机构：

[1] Lomonosov Moscow State Univ Moscow, GSP 1, Moscow 119991, Russia

[2] Moscow Inst Phys & Technol, Dolgoprudnyi 141701, Russia

来源：

SPECIAL MATRICES | 2018年 / 6卷 / 01期

基金：

俄罗斯科学基金会;

关键词：

scrambling index; directed graphs; nonnegative matrices;

D O I：

10.1515/spma-2018-0014

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we characterize surjective linear maps on matrices over antinegative semirings that preserve the set of matrices with maximal or minimal positive values of the scrambling index.

引用

页码：166 / 179

页数：14

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