摘要
近年来矩阵对角化理论研究得到了充分的发展,并且在分析方法、研究领域、研究的深度和广度上都有了突破.但在四元数体上,由于四元数乘法的非交换性,人们对四元数体上矩阵对角化的研究甚少.对四元数体上矩阵对角化进行研究,得到了几个重要结论.
In the recent years, matrix diagonalization theoretical research has been tully developed, anct has achieved a breakthrough in the analysis methods, research areas, the depth and breadth of research. But on the Quaternion body, the quaternion multiplication is non-exchangeable, and there has been little study of matrix di- agonalization on the quaternion. In this paper, some study is made of the quaternion matrix diagonalization, and several important conclusions are reached.
出处
《常熟理工学院学报》
2012年第10期37-40,44,共5页
Journal of Changshu Institute of Technology
关键词
四元数体
矩阵对角化
定理
the quaternion matrix
diagonalization
theorem
