酉不变范数下{1,3}-和{1,4}-逆的扰动界

Perturbation bounds of {1,3}-and {1,4}-inverses under the unitarily invariant norm

MENG等给出了{1,3}-和{1,4}-逆在谱范数和Frobenius范数下的加法和乘法扰动界,本文研究了{1,3}-和{1,4}-逆在一般的酉不变范数下的加法和乘法扰动界,所得结果推广和改进了已有文献中的相关结果.

The additive and multiplicative perturbation bounds of the{1,3}-and{1,4}-inverses under the spectral norm and Frobenius norm were derived by MENG et al.In this paper,the additive and multiplicative perturbation bounds of the{1,3}-and{1,4}-inverses under the general unitarily invariant norm are studied.The results extend and improve the corresponding results in the above paper.