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
收藏
页码：166 / 179
页数：14
相关论文
共 50 条
  • [1] Maps preserving scrambling index
    Guterman, A. E.
    Maksaev, A. M.
    LINEAR & MULTILINEAR ALGEBRA, 2018, 66 (04): : 840 - 851
  • [2] Additive maps preserving the scrambling index are bijective
    A. E. Guterman
    A. M. Maksaev
    Acta Scientiarum Mathematicarum, 2018, 84 (1-2): : 19 - 38
  • [3] Additive maps preserving the scrambling index are bijective
    Guterman, A. E.
    Maksaev, A. M.
    ACTA SCIENTIARUM MATHEMATICARUM, 2018, 84 (1-2): : 19 - 38
  • [4] Preserving λ-scrambling Matrices
    Guterman, Alexander E.
    Maksaev, Artem M.
    FUNDAMENTA INFORMATICAE, 2018, 162 (2-3) : 119 - 141
  • [5] Maps that Strongly Preserve λ-Scrambling Matrices
    Maksaev A.M.
    Journal of Mathematical Sciences, 2020, 249 (2) : 263 - 270
  • [6] The scrambling index of symmetric primitive matrices
    Chen, Shexi
    Liu, Bolian
    LINEAR ALGEBRA AND ITS APPLICATIONS, 2010, 433 (06) : 1110 - 1126
  • [7] On maps preserving products of matrices
    Catalano, Louisa
    Hsu, Samuel
    Kapalko, Regan
    LINEAR ALGEBRA AND ITS APPLICATIONS, 2019, 563 : 193 - 206
  • [8] On the second largest scrambling index of primitive matrices
    Shao, Yanling
    Gao, Yubin
    ARS COMBINATORIA, 2014, 113 : 457 - 462
  • [9] LINEAR MAPS PRESERVING OR STRONGLY PRESERVING MAJORIZATION ON MATRICES
    Khalooei, F.
    BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY, 2015, 41 (07): : 77 - 83
  • [10] Maps preserving trace of products of matrices
    Huang, Huajun
    Tsai, Ming-Cheng
    LINEAR & MULTILINEAR ALGEBRA, 2023, 71 (18): : 2962 - 2985
12345