矩阵的广义特征值的绝对扰动界

Absolute Perturbation Bounds On The Generalized Eigenvalizeds of Matrix

主要研究H-normal矩阵的广义特征值的绝对扰动界问题,作为应用,给出了规范矩阵与可对角化矩阵的特征值在算子范数与矩阵范数下的扰动界．

In this paper, absolute perturbation questions on the generalized eigenvalucs of H-normal matrices are discussed. As applications, some absolute perturbation bounds for the eigenvalues of normal matrices and diagonalizable matrices are established by operator norm and matrix norrm.