<abstract xmlns="http://www.w3.org/1999/xhtml">

<p>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.</p>
</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.

Weighted MP weak group inverse

University of Maribor, Faculty of Economics and Business

Analele ştiinţifice ale Universităţii "Ovidius" Constanţa. Seria Matematică

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

{"article-title":"Weighted MP weak group inverse"}

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....

Weighted MP weak group inverse

Published Online: May 27, 2024

Page range: 221 - 246

Received: Nov 13, 2022

Accepted: Apr 20, 2023

DOI: https://doi.org/10.2478/auom-2024-0012

Keywords
weighted weak group inverse, Moore-Penrose inverse, weighted core-EP inverse, outer inverse

© 2024 Dijana Mosić, published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Weighted MP weak group inverse

Published Online: May 27, 2024

Page range: 221 - 246

Received: Nov 13, 2022

Accepted: Apr 20, 2023

DOI: https://doi.org/10.2478/auom-2024-0012

Keywordsweighted weak group inverse, Moore-Penrose inverse, weighted core-EP inverse, outer inverse

© 2024 Dijana Mosić, published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Keywords
weighted weak group inverse, Moore-Penrose inverse, weighted core-EP inverse, outer inverse