摘要
在证明了复正规矩阵特征值实部具有单调性的基础上,给出了Hermite矩阵与复正规矩阵乘积特征值实部的范围,具有一定的理论价值和应用价值。
This paper firstly proved the monotonicity of the eigenvalue real part of complex normal matrices and then gave the range of the eigenvalue real part of the product of Hermite matrix and complex normal matrix.The content of the paper has some theoretical and practical values.
作者
沈浮
夏必腊
李文涛
SHEN Fu XIA Bi-la LI Wen-tao(Teaching and Research Section of Mathematics, PLA Army Officer Academy, Hefei 230031, China)
出处
《重庆理工大学学报(自然科学)》
CAS
2017年第2期153-156,共4页
Journal of Chongqing University of Technology:Natural Science
基金
安徽省自然科学基金资助项目(1408085MA06)
关键词
HERMITE矩阵
复正规矩阵
复正定矩阵
正交补空间
可交换
Hermite matrix
complex normal matrix
complex positive definite matrix
orthogonal complement space
convertible