Affiliation:
1. College of Science, University of Shanghai for Science and Technology, Shanghai 200093, P. R. China
Abstract
In this paper, perturbation bounds are provided for the [Formula: see text]-weighted core-EP inverse of a rectangular matrix under reasonable conditions. Perturbation bounds for the core-EP inverse could be stated as a special case. Then, the continuity of the [Formula: see text]-weighted core-EP inverse is considered from the perspective of equations. Finally, we give an application to a semi-stable matrix involving an integral representation of the [Formula: see text]-weighted core-EP inverse of a perturbed matrix.
Publisher
World Scientific Pub Co Pte Lt
Subject
Applied Mathematics,Algebra and Number Theory
Cited by
3 articles.
订阅此论文施引文献
订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献
1. The $${{\mathfrak {m}}}$$-Core-EP Inverse in Minkowski Space;Bulletin of the Iranian Mathematical Society;2021-11-25
2. Weighted Minimization Problems for Quaternion Matrices;Advances in Applied Clifford Algebras;2021-06-07
3. Representations and properties for the MPCEP inverse;Journal of Applied Mathematics and Computing;2021-01-06