关于四元数矩阵之迹的注记  

Notes on traces of quaternion matrix

作　　者：曹文胜[1] 

机构地区：[1]湘潭工学院数学与软件研究所,湖南湘潭411201

出　　处：《湘潭矿业学院学报》2002年第3期91-93,共3页Journal of Xiangtan Mining Institute

摘　　要：通过应用四元数矩阵的复表示理论和复数域上矩阵与迹的性质,得到了四元数体上矩阵AB与BA以及矩阵A与其相似矩阵迹相等的充要条件,并讨论了矩阵A与其右特征值之间的关系,并举例指出A与A的相似矩阵与A的右特征值不存在的一般关系.参9.Using the method of complex representation and some properties of complex matrices and their traces, this paper obtain the necessary and sufficient conditions for equalities concerning traces of matrices AB and BA, and traces of matrix A and its similarity matrices. This paper also discusses the relations between traces of quaternion matrix and its right eigenvalues and points out there are no general relatiouship between the right eigenvalues of quaternin matrix A and the trace of quaternion matrix A and its similarity matrices.9refs.

关 键 词：四元数 迹 矩阵 右特征值 相似矩阵 

分 类 号：O151.21[理学—数学]