A note on multiplicative perturbation bounds for the Moore–Penrose inverse
A note on multiplicative perturbation bounds for the Moore–Penrose inverse
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DOI：
10.1080/03081087.2013.791818
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发表时间：
2014-04
影响因子：
1.1
通讯作者：
Hu Yang;Pingping Zhang
中科院分区：
文献类型：
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作者：
Hu Yang;Pingping Zhang
在本文中，我们分别获得了 Frobenius 范数、酉不变范数和 -范数下 Moore-Penrose 逆的最优乘性摄动界。这些界限总是会改进之前的界限。此外，所有这些界限都可以应用于加权摩尔-彭罗斯逆。
In this paper, we obtain the optimal multiplicative perturbation bounds for the Moore–Penrose inverse under the Frobenius norm, the unitarily invariant norm and the -norm, respectively. These bounds always improve the previous bounds. Furthermore, all these bounds can be applied to the weighted Moore–Penrose inverse.