Hermite正定矩阵迹的几个重要不等式

SEVERAL IMPORTANT INEQUALITIES OF HERMITE POSITIVE DEFINITE MATRIX TRACE

本文研究了Hermite正定矩阵迹的不等式问题.利用文献[1、2]的部分结果和矩阵恒等变形的方法,得到了关于Hermite正定矩阵迹的几个重要不等式,推广了文献[5。

In this paper, we study the problem of inequalities for the trace of Hermite postive definite matrix. Several important ineqealities about the trace of Hermite postive definite matrix are proposed according to results in [1,2] partly and the method of matrix constant reform. At the same time, the results in [5,6] are extended.