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Characterizations and perturbation analysis of a class of matrices related to core-EP inverses
Journal of Computational and Applied Mathematics ( IF 2.1 ) Pub Date : 2021-02-18 , DOI: 10.1016/j.cam.2021.113496
Mengmeng Zhou , Jianlong Chen , Néstor Thome

Let A,Bn×n with ind(A)=k and ind(B)=s and let LB=B2B. A new condition (Cs,): R(Ak)N((Bs))={0} and R(Bs)N((Ak))={0}, is defined. Some new characterizations related to core-EP inverses are obtained when B satisfies condition (Cs,). Explicit expressions of B and BB are also given. In addition, equivalent conditions, which guarantee that B satisfies condition (Cs,), are investigated. We proved that B satisfies condition (Cs,) if and only if LB has a fixed matrix form. As an application, upper bounds for the errors BAA and BBAA are studied.



中文翻译:

一类与核-EP逆有关的矩阵的表征和扰动分析

一种ñ×ñ一种=ķ=s 然后让 大号=2个。新条件Cs[R一种ķñs={0}[Rsñ一种ķ={0}, 被定义为。在以下情况下获得了一些与核-EP逆相关的新特征: 满足条件 Cs。的明确表达还给出了。此外,等价条件可确保 满足条件 Cs,正在调查中。我们证明了 满足条件 Cs 当且仅当 大号具有固定的矩阵形式。作为应用程序,错误的上限-一种一种-一种一种 被研究。

更新日期:2021-03-15
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