伍俊良, 陈香萍, 邹黎敏. 2个四元数正规矩阵的同时对角化问题[J]. 云南大学学报(自然科学版), 2009, 31(3): 222-226 .
引用本文: 伍俊良, 陈香萍, 邹黎敏. 2个四元数正规矩阵的同时对角化问题[J]. 云南大学学报(自然科学版), 2009, 31(3): 222-226 .
shu
Simultaneous diagonalization of two quaternion normal matrices[J]. Journal of Yunnan University: Natural Sciences Edition, 2009, 31(3): 222-226 .
Citation: Simultaneous diagonalization of two quaternion normal matrices[J]. Journal of Yunnan University: Natural Sciences Edition, 2009, 31(3): 222-226 .
shu

2个四元数正规矩阵的同时对角化问题

Simultaneous diagonalization of two quaternion normal matrices

    摘要
  • 摘要: 讨论了四元数正规矩阵的对角化问题.利用每个四元数正规矩阵都可以对角化的性质,证明了2个四元数正规矩阵在可交换条件下可同时对角化.得到了2个及多个四元数正规矩阵可同时对角化的几个定理.

     

    Abstract: The diagonalization of quaternion normal matrices is discussed.By applying the properties of diagonalization for each quaternion normal matrix,pairs of quaternion normal matrices can be simultaneously diagonalized by commutation is proven.Several theorems about simultaneous diagonalization of two and more quaternion normal matrices are obtained.

     

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