Spectral solutions of the Yang-Baxter matrix equation

被引:43
|
作者
Ding, J. [1 ]
Rhee, N. H. [2 ]
机构
[1] Univ So Mississippi, Dept Math, Hattiesburg, MS 39406 USA
[2] Univ Missouri, Dept Math & Stat, Kansas City, MO 64110 USA
关键词
Matrix equation; Spectral theorem;
D O I
10.1016/j.jmaa.2013.01.054
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
Let A be an arbitrary square matrix. We find a collection of solutions of the matrix equation of AXA = XAX in terms of the spectral projectors. (c) 2013 Elsevier Inc. All rights reserved.
引用
收藏
页码:567 / 573
页数:7
相关论文
共 50 条
  • [1] On the structure of the spectral solutions of the Yang-Baxter matrix equation
    Ding, Jiu
    Zhang, Chenhua
    [J]. APPLIED MATHEMATICS LETTERS, 2014, 35 : 86 - 89
  • [2] Commuting solutions of the Yang-Baxter matrix equation
    Ding, J.
    Zhang, C.
    Rhee, N. H.
    [J]. APPLIED MATHEMATICS LETTERS, 2015, 44 : 1 - 4
  • [3] SOLUTIONS OF THE YANG-BAXTER MATRIX EQUATION FOR AN IDEMPOTENT
    Cibotarica, A.
    Ding, J.
    Kolibal, J.
    Rhee, Noah H.
    [J]. NUMERICAL ALGEBRA CONTROL AND OPTIMIZATION, 2013, 3 (02): : 347 - 352
  • [4] THE YANG-BAXTER MATRIX EQUATION FOR INVOLUTIONS
    Andruszkiewicz, Ryszard R.
    Smoktunowicz, Alicja
    [J]. MISKOLC MATHEMATICAL NOTES, 2022, 23 (01) : 61 - 70
  • [5] On solutions to the twisted Yang-Baxter equation
    Tarasov V.O.
    [J]. Journal of Mathematical Sciences, 1997, 85 (1) : 1752 - 1757
  • [6] COCYCLIC SOLUTIONS TO THE YANG-BAXTER EQUATION
    Rump, Wolfgang
    [J]. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2021, 149 (02) : 471 - 479
  • [7] MULTIPARAMETER SOLUTIONS OF THE YANG-BAXTER EQUATION
    FEI, SM
    GUO, HY
    SHI, H
    [J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1992, 25 (09): : 2711 - 2720
  • [8] A family of solutions of the Yang-Baxter equation
    Bachiller, David
    Cedo, Ferran
    [J]. JOURNAL OF ALGEBRA, 2014, 412 : 218 - 229
  • [9] UNUSUAL SOLUTIONS TO THE YANG-BAXTER EQUATION
    HLAVATY, L
    [J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1987, 20 (07): : 1661 - 1667
  • [10] Nonstandard solutions of the Yang-Baxter equation
    Giaquinto, A
    Hodges, TJ
    [J]. LETTERS IN MATHEMATICAL PHYSICS, 1998, 44 (01) : 67 - 75