DETERMINANTS OF REAL QUATERNION MATRICES

被引:0
|
作者
Li Yangming(Dept.of Math.
机构
关键词
Math; DETERMINANTS OF REAL QUATERNION MATRICES; over; Chen; real;
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
0701 ; 070101 ;
摘要
Let Q be the real quaternion field.Let the set of all matrices A=(α;);be Q;where α;∈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
  • [31] Trace Invariance for Quaternion Matrices
    de la Cruz, Ralph John
    SCIENCE DILIMAN, 2015, 27 (02) : 1 - 9
  • [32] On Eigenvalues of Split Quaternion Matrices
    Erdogdu, Melek
    Ozdemir, Mustafa
    ADVANCES IN APPLIED CLIFFORD ALGEBRAS, 2013, 23 (03) : 615 - 623
  • [33] The Generalized Inverse of Quaternion Matrices
    Wang, Hongxing
    Liu, Xiaoji
    PROCEEDINGS OF THE THIRD INTERNATIONAL WORKSHOP ON MATRIX ANALYSIS AND APPLICATIONS, VOL 2, 2009, : 301 - 304
  • [34] The Generalized Inverse of Quaternion Matrices
    Wang, Hongxing
    Liu, Xiaoji
    PROCEEDINGS OF THE THIRD INTERNATIONAL WORKSHOP ON APPLIED MATRIX THEORY, 2009, : 156 - 158
  • [35] On Complex Split Quaternion Matrices
    Erdogdu, Melek
    Ozdemir, Mustafa
    ADVANCES IN APPLIED CLIFFORD ALGEBRAS, 2013, 23 (03) : 625 - 638
  • [36] On Complex Split Quaternion Matrices
    Melek Erdoğdu
    Mustafa Özdemir
    Advances in Applied Clifford Algebras, 2013, 23 : 625 - 638
  • [37] CONSIMILARITY OF COMMUTATIVE QUATERNION MATRICES
    Kosal, Hidayet Huda
    Akyigit, Mahmut
    Tosun, Murat
    MISKOLC MATHEMATICAL NOTES, 2015, 16 (02) : 965 - 977
  • [38] Minimax Principle for Eigenvalues of Dual Quaternion Hermitian Matrices and Generalized Inverses of Dual Quaternion Matrices
    Ling, Chen
    Qi, Liqun
    Yan, Hong
    NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION, 2023, 44 (13) : 1371 - 1394
  • [39] SOME PROPERTIES OF COMPLEX QUATERNION AND COMPLEX SPLIT QUATERNION MATRICES
    Alagoz, Y.
    Ozyurt, G.
    MISKOLC MATHEMATICAL NOTES, 2019, 20 (01) : 45 - 58
  • [40] Jordan canonical form of a partitioned complex matrix and its application to real quaternion matrices
    Zhang, FZ
    Wei, Y
    COMMUNICATIONS IN ALGEBRA, 2001, 29 (06) : 2363 - 2375