一个两类矩阵乘积特征值实部的估计  

An Estimate of Eigenvalue Real Part of the Product of Two Kinds of Matrices

作　　者：沈浮[1] 夏必腊[1] 李文涛[1] SHEN Fu XIA Bi-la LI Wen-tao(Teaching and Research Section of Mathematics, PLA Army Officer Academy, Hefei 230031, China)

机构地区：[1]中国人民解放军陆军军官学院数学教研室,合肥230031

出　　处：《重庆理工大学学报（自然科学）》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)

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.

关 键 词：HERMITE矩阵 复正规矩阵 复正定矩阵 正交补空间 可交换 

分 类 号：O151[理学—数学]