正规矩阵特征值扰动的新估计

New Estimation of Perturbation Bounds for Eigenvalues of Normal Matrices

设A,B均为正规矩阵,关于正规矩阵的特征值扰动,有结论 (n∑i=1︱μτ(i)-λi︱2)(1/2)≤n(1/2)‖E‖F,其中λi,μi分别为A,B的特征值.通过新的方法证明给出特征值扰动上界的新估计,并改进了以上结论.

Let A,B be normal matrices,On the perturbation bounds for eigenvalues of normal matrices ,it have been proved that： ∑n i=1 μτ（ i）-λi 2≤ n‖E‖F .where λi and μi are eigenvalues of AandB respec-tively.In this paper , we introduce a new method ,which improve the inequalities slightly .