摘要
证明了一类矩阵的所有特征值都位于一个圆盘中.然后给出了矩阵特征值的几个分布区域,在此基础之上解决了矩阵张量积的特征值的分布问题.最后讨论了矩阵奇异值的估计问题.
It is proved that all the eigenvalues of a kind of square matrices are located in one disk.Several easily computed inclusion regions that are guaranteed to include the eigenvalues of matrices are presented.The distributions for the eigenvalues of tensor product of matrices are obtained based on the results above.The estimation for the singular values of matrices is given.
出处
《西南师范大学学报(自然科学版)》
CAS
CSCD
北大核心
2009年第3期40-43,共4页
Journal of Southwest China Normal University(Natural Science Edition)
关键词
特征值
圆盘
张量积
奇异值
eigenvalues
disk
tensor product
singular values
作者简介
作者简介:胡兴凯(1982-),男,山东泰安人,硕士研究生,主要从事矩阵理论的研究.