Perturbation of the weighted core–EP inverse
Perturbation of the weighted core–EP inverse
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DOI：
10.1007/s43034-019-00022-3
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发表时间：
2019-12
影响因子：
1
通讯作者：
D. Mosić
中科院分区：
文献类型：
--
作者：
D. Mosić
在扰动算子的不同条件下，我们得到了给定算子A与扰动算子E的和的加权核EP逆的两种不同的表达式。作为这些结果的结果，我们得到了由给定算子的加权核-EP逆所确定的幂等元与其扰动之间的关系，并给出了加权核-EP逆的扰动界.给出了该方法在求解摄动方程中的应用。我们还应用这些结果获得的核心EP逆扰动结果。
We obtain two different expressions for the weighted core–EP inverse of the sumfor a given operatorAand a perturbation operatorE, under different conditions on the perturbing operator. As a consequence of these results, we get some relations between idempotents determined by the weighted core–EP inverses of a given operator and its perturbation and we present perturbation bounds for the weighted core–EP inverse. The application to the solution of a perturbed equation is given. We also apply these results to obtain perturbation results for the core–EP inverse.