Weighted MP-$m$-weak group inverse

Authors

  • Dijana Mosi´c Faculty of Sciences and Mathematics, University of Niš, Serbia
  • Janko Marovt Faculty of Economics and Business, University of Maribor, Maribor, Slovenia, and IMFM, Ljubljana, Slovenia

DOI:

https://doi.org/10.3842/umzh.v77i8.8695

Keywords:

weighted m-WGI; MP-m-WGI; weighted MPWG inverse; MPD inverse.

Abstract

UDC 519.6

In order to generalize the concepts of weighted MPWG inverse and MP-$m$-weak group inverse, we consider systems of matrix equations, which are extensions of systems used to define these concepts. To solve new extended systems, we introduce the notion of weighted MP-$m$-weak group inverse. Numerous characterizations and representations of the weighted MP-$m$-weak group inverse are proposed. Thus, we extend known results for the weighted MPWG inverse and MP-$m$-weak group inverse. We solve some systems of linear equations and express their solutions by applying the weighted MP-$m$-weak group inverse.

References

The full version of this paper will be published in Ukrainian Mathematical Journal, Vol. 77, No. 8, 2025.

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Published

11.09.2025

Issue

Vol. 77 No. 8 (2025)

Section

Research articles

License

Copyright (c) 2025 Dijana Mosi´c, Janko Marovt

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

How to Cite

Mosi´c, Dijana, and Janko Marovt. “Weighted MP-$m$-Weak Group Inverse”. Ukrains’kyi Matematychnyi Zhurnal, vol. 77, no. 8, Sept. 2025, pp. 536–537, https://doi.org/10.3842/umzh.v77i8.8695.