中文摘要：

研究若干复矩阵乘积之迹的不等式，并利用得到的不等式推出两个Hermite半正定矩阵乘积的任意次幂之迹的不等式，利用矩阵的分解给出一个Hermite半正定矩阵任意次幂之迹的不等式，推广了相关结果．

英文摘要：

Some trace inequalities of the product of some complex matrices, and derive a trace inequality of the power of product of two positive semidefinite Hermite matrices by using the obtained results. Moreover, we get a trace inequality of the power of a positive semidefinite Hermite matrix by using matrix decom- position, in the mean time, we extend correlative results.