Von Neumann迹的不等式注记  

A Note on Von Neumann's Trace Inequality

作　　者：杨兴东[1] 苏润青 徐玮玮[1] 刘诗卉[1] 丁三芹 Yang Xingdong;Su Runqing;Xu Weiwei;Liu Shihui;Ding Sanqin(College of Mathematics and Statistics,Nanjing University of Information Science and Technology,Nanjing 210044,China)

机构地区：[1]南京信息工程大学数学与统计学院,江苏南京210044

出　　处：《南京师大学报（自然科学版）》2018年第1期5-8,16,共5页Journal of Nanjing Normal University(Natural Science Edition)

基　　金：国家自然科学青年基金(11501300)、江苏省青年科学基金(BK20130985).

摘　　要：通过矩阵分块,利用矩阵特征值与奇异值的性质,研究Von Neumann迹的不等式,推广了相关文献矩阵乘积之迹的不等式,并对有关文献作了补充.In this paper,the inequality of Von Neumann trace was studied by using the properties of the matrix divided into blocks,singular value and eigenvalue of the matrix.As a result,the inequalities of the matrix product trace were improved under the certain conditions.Besides,the established conclusions were extended.

关 键 词：Von Neumann不等式 特征值 奇异值 迹 FROBENIUS范数 

分 类 号：O151.21[理学—数学]