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Weighted MP weak group inverse Cover

Abstract

To extent the notion of the MP weak group inverse for square matrices, we introduce the concept of the weighted MP weak group inverse for rectangular matrices. A number of different representations and characterizations are derived for the weighted MP weak group inverse as well as limit and integral expressions. Applying the weighted MP weak group inverse, we solve some linear equations and give their solutions.

DOI: https://doi.org/10.2478/auom-2024-0012 | Journal eISSN: 1844-0835 | Journal ISSN: 1224-1784
Language: English
Page range: 221 - 246
Submitted on: Nov 13, 2022
Accepted on: Apr 20, 2023
Published on: May 27, 2024
Published by: Ovidius University of Constanta
In partnership with: Paradigm Publishing Services
Publication frequency: 3 issues per year

© 2024 Dijana Mosić, Janko Marovt, published by Ovidius University of Constanta
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.