Left-star(right-star) partial orderings in the category of matrices over quaternion field

被引:0
|
作者
Liu, Xiaoji [1 ]
Wei, Musheng [1 ]
Zhang, Shiguang [1 ]
机构
[1] E China Normal Univ, Dept Math, Shanghai 200062, Peoples R China
关键词
self-conjugate matrix; star- partial ordering; subtract partial ordering;
D O I
暂无
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, the relation between the partial ordering of the self-conjugate quaternion matrices and its squares is discussed, extended the related results of the definite positive matrices.
引用
收藏
页码:73 / 76
页数:4
相关论文
共 9 条
  • [1] LEFT-STAR AND RIGHT-STAR PARTIAL ORDERINGS
    BAKSALARY, JK
    MITRA, SK
    LINEAR ALGEBRA AND ITS APPLICATIONS, 1991, 149 : 73 - 89
  • [2] Further properties of the star, left-star, right-star, and minus partial orderings
    Baksalary, JK
    Baksalary, OM
    Liu, XJ
    LINEAR ALGEBRA AND ITS APPLICATIONS, 2003, 375 : 83 - 94
  • [3] Preservers of the left-star and right-star partial orders
    Dolinar, Gregor
    Halicioglu, Sait
    Harmanci, Abdullah
    Kuzma, Bojan
    Marovt, Janko
    Ungor, Burcu
    LINEAR ALGEBRA AND ITS APPLICATIONS, 2020, 587 : 70 - 91
  • [4] Star, left-star, and right-star partial orders in Rickart *-rings
    Marovt, Janko
    Rakic, Dragan S.
    Djordjevic, Dragan S.
    LINEAR & MULTILINEAR ALGEBRA, 2015, 63 (02): : 343 - 365
  • [5] MONOTONE TRANSFORMATIONS ON B(H) WITH RESPECT TO THE LEFT-STAR AND THE RIGHT-STAR PARTIAL ORDER
    Dolinar, Gregor
    Guterman, Alexander
    Marovt, Janko
    MATHEMATICAL INEQUALITIES & APPLICATIONS, 2014, 17 (02): : 573 - 589
  • [6] Partial Orderings in the Category of Matrices over the Quaternion Field
    庄瓦金
    东北数学, 1995, (01) : 79 - 84
  • [7] ON THE LOWNER, MINUS, AND STAR PARTIAL ORDERINGS OF NONNEGATIVE DEFINITE MATRICES AND THEIR SQUARES
    BAKSALARY, JK
    PUKELSHEIM, F
    LINEAR ALGEBRA AND ITS APPLICATIONS, 1991, 151 : 135 - 141
  • [8] The Left and Right Eigenvalues of Circulant Matrix over Quaternion Field
    Tan, Yun-long
    Huang, Jing-pin
    PROCEEDINGS OF THE SEVENTH INTERNATIONAL CONFERENCE OF MATRICES AND OPERATORS (MAO 2012), 2012, : 132 - 135
  • [9] On star-homogeneous-graded polynomial identities of upper triangular matrices over an arbitrary field
    de Mello, Thiago Castilho
    Yasumura, Felipe Yukihide
    JOURNAL OF ALGEBRA, 2025, 663 : 652 - 671