半正定Hermite矩阵之积的特征值估计

Estimates for Elgenvalues of Product of Positive Semidefinite Hermitian Matrices

用控制不等式等理论,对矩阵之积的特征值进行了估计,得到若干半正定矩阵特征值的不等式,并推广了其中的一些结论。

In this paper, using the theory of majorization, the author estimated the elgenvalues of product of positive semidefinite Hermitian matrices and get several inequalities of the eigenvalues. Also, some of the conclusions are generalized.