关于Hermite矩阵组合的迹的一些不等式问题  

Some Inequalities of the Trace of Matrix Combination

作　　者：石向前 SHI Xiang-qian(Department of Basic of Chinese People’s Liberation Army Artillery Antiaircraft Academy,Hefei 230031,China)

机构地区：[1]陆军炮兵防空兵学院基础部,安徽合肥230031

出　　处：《数学的实践与认识》2021年第22期164-172,共9页Mathematics in Practice and Theory

摘　　要：设A,B是两个Hermite半正定矩阵或Hermite正定矩阵,研究了A,B的组合的迹的不等式问题.得到了Hermite半正定矩阵和Hermite正定矩阵的组合的迹的几个重要不等式,推广了相关文献的结果.A and B are two Hermite positive semidefinite matrices or two Hermite positive definite matrices.In this paper,the inequalities of the trace of the combination of A and B are studied.Some important inequalities of the trace of the combination of the Hermite semi positive definite matrix and the Hermite positive definite matrix are obtained,and the results of the related literature are extended.

关 键 词：HERMITE矩阵 正定矩阵 半正定矩阵 组合 矩阵的迹 

分 类 号：O151.21[理学—数学]