正定厄米特矩阵乘积的特征值新估计

The New Estimation of the Eigenvalues of the Product of Postive Hermitian Matrices

主要是对正定厄米特矩阵乘积的特征值给出更精确估计,并且得到一种不断缩小上下限的距离的方法,经过若干次的减小能够取得较满意的结果。

In this paper,we point out more accurate estimation for the eigenvalues of the product of matrices,when A and B are positive Hermitian matrices.We obtained a method of shrinking upper and lower distance,and able to achieve satisfactory results after a number of reductions.