一类矩阵的广义特征值的相对扰动定理

Relative Perturbation Theorems For The Generalized Eigenvalues of Some Matrices

研究H-normal矩阵的广义特征值的相对扰动界问题,给出规范矩阵,可对角化矩阵与复正定矩阵的广义特征值在算子范数下的相对扰动界。

Somc rclativc perturbation questions on the generalized eigenvalues of H-normal matrices are discussed. As applications, some relative perturbation bounds for the eigenvalues of normal matrices and diagonalizablc matrices and for the generalized eigenvalucs of positive definite matrices arc established by operator norm.