In this paper, we obtain new additive perturbation bounds of the Moore-Penrose inverse under the unitarily invariant norm and the Q-norm by using the singular value decomposition, respectively. These bounds always improve the corresponding ones in [Cai L et al. Additive and multiplicative perturbation bounds for the Moore-Penrose inverse. Linear Algebra Appl. 2011;434:480–489].

中文翻译：

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Moore-Penrose 逆的新加性扰动界限

在本文中，我们分别使用奇异值分解获得了酉不变范数和Q范数下Moore-Penrose逆的新加性扰动界。这些界限总是会改善 [Cai L et al. Moore-Penrose 逆的加法和乘法扰动界限。线性代数应用程序。2011；434:480–489]。