DETERMINANTS OF REAL QUATERNION MATRICES

被引:0
|
作者
Li YangmingDeptof MathEducational college of GuangdongGuangzhou PRCDeptof MathZhongshan UniversityGuangzhou PRC [510303 ,510275 ]
机构
关键词
D O I
暂无
中图分类号
O151 [代数方程论、线性代数];
学科分类号
摘要
<正> Let Q be the real quaternion field.Let the set of all matrices A=(αij)n×mbe Qn×mwhere αij∈Q,A+ be the conjugate transpose of A.Over a long period of time,there have been various kinds of definitions of determinantover the real quaternion field,but all of them are not concerning the entries of thematrix directly,that is"undirectly".From the point of view how the theory of determi-nant is algebraically developed for skew field,it may be worthwhile defined determinant
引用
收藏
页码:53 / 58
页数:6
相关论文
共 50 条
  • [41] Extreme Ranks of Real Matrices in Solution of the Quaternion Matrix Equation AXB = C with Applications
    Wang, Qingwen
    Yu, Shaowen
    Xie, Wei
    ALGEBRA COLLOQUIUM, 2010, 17 (02) : 345 - 360
  • [42] LOW RANK PURE QUATERNION APPROXIMATION FOR PURE QUATERNION MATRICES
    Song, Guangjing
    Ding, Weiyang
    Ng, Michael K.
    SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS, 2021, 42 (01) : 58 - 82
  • [43] APPROXIMATIONS TO DISTRIBUTIONS OF DETERMINANTS OF REAL AND COMPLEX MULTIVARIATE BETA MATRICES
    LEE, JC
    KRISHNAIAH, PR
    CHANG, TC
    SOUTH AFRICAN STATISTICAL JOURNAL, 1977, 11 (01) : 13 - 26
  • [44] L-structured quaternion matrices and quaternion linear matrix equations
    Yuan, Shi-Fang
    Wang, Qing-Wen
    LINEAR & MULTILINEAR ALGEBRA, 2016, 64 (02): : 321 - 339
  • [45] Inequalities for generalized eigenvalues of quaternion matrices
    Hong, Yan
    Qi, Feng
    PERIODICA MATHEMATICA HUNGARICA, 2021, 83 (01) : 12 - 19
  • [46] Dual Quaternion Matrices and MATLAB Applications
    Nalbant, Kemal Gokhan
    Yuce, Salim
    APPLICATIONS AND APPLIED MATHEMATICS-AN INTERNATIONAL JOURNAL, 2024, 19 (01):
  • [47] Generalizing Frobenius inversion to quaternion matrices
    Chen, Qiyuan
    Uhlmann, Jeffrey
    Ye, Ke
    NUMERICAL ALGORITHMS, 2024, 97 (01) : 101 - 116
  • [48] Stability of Invariant Subspaces of Quaternion Matrices
    Rodman, Leiba
    COMPLEX ANALYSIS AND OPERATOR THEORY, 2012, 6 (05) : 1069 - 1119
  • [49] Inequalities for generalized eigenvalues of quaternion matrices
    Yan Hong
    Feng Qi
    Periodica Mathematica Hungarica, 2021, 83 : 12 - 19
  • [50] A Characterization for the Drazin Inverse of Quaternion Matrices
    Jia, Guanjun
    Zhao, Linlin
    Zhang, Fengxia
    ADVANCES IN MATRIX THEORY AND ITS APPLICATIONS, VOL 1: PROCEEDINGS OF THE EIGHTH INTERNATIONAL CONFERENCE ON MATRIX THEORY AND ITS APPLICATIONS, 2008, : 91 - 94