摘要
通过矩阵旋转变换和平移变换,讨论了复矩阵的特征值均匀地分布在复平面的圆周上的问题,给出了矩阵旋转变换下谱象保持不变的复矩阵的充分必要条件,同时指出了这类矩阵与循环矩阵、循环置换矩阵之间的关系。
In this paper,we discussed the distribution of eigenvalues of complex matices on some certain circles. A sufficient and necessary condition is obtained for those matrices whose spectral diagrams are invariant under some rotations. Moreover,the close relationship between this kind of matrices and circular matrices is completely given.
出处
《丽水学院学报》
2008年第2期1-6,共6页
Journal of Lishui University
基金
浙江省教育厅科研计划项目(20070563)
关键词
谱象
旋转变换
α矩阵
谱象环
spectral diagram
rotation
a-matrix
spectral ring
