Research ArticleNo Access

Perturbation bounds for the $W$ $W$ -weighted core-EP inverse

College of Science, University of Shanghai for Science and Technology, Shanghai 200093, P. R. China

https://doi.org/10.1142/S0219498820502321Cited by:3 (Source: Crossref)

Abstract

In this paper, perturbation bounds are provided for the $W$ $W$ -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 $W$ $W$ -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 $W$ $W$ -weighted core-EP inverse of a perturbed matrix.

Communicated by A. Facchini

Keywords:

AMSC: 15A09, 34D10, 65F35

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