关于自共轭四元数矩阵特征值的两个性质定理

The Two Property Theorem of Eigenvalue on Self-conjugate Quaternion Matrix

特征值理论是矩阵理论的重要组成部分,在自然科学和工程技术中有着广泛的应用。由于四元数乘积的非交换性,使这一理论的研究困难重重。根据四元数体上自共轭矩阵的性质,并结合四元数矩阵直积的定义,给出四元数体上自共轭矩阵的两个性质定理。

Eigenvalue theory, an important part of the matrix theory, has a wide range of applications in the natural sciences and engineering. Due to the the quaternion product non - exchangeable, there are many difficulties in this research. According to the property of self - conjugate quaternion matrix, this paper combines the definition of quaternion matrix direct product, and gives two property theorems of the self - conjugate quaternion matrix.