几个矩阵范数不等式及其在谱扰动中的应用

摘要

Inequalities that compare norms of A-B and those of AQ-QB and Q -1 A-BQ -1 and A-QBQ -1 are given, where A and B are either Hermitian or normal matrices and Q is a positive definite matrix. Using these inequalities we obtain some new Hoffman Wielandt type perturbation theorems.