Some theorems on the core inverse of matrices and the core partial ordering

Hiroshi Kurata

Applied Mathematics and Computation, 2018, vol. 316, issue C, 43-51

Abstract: This paper derives some further results on the core inverse of matrices and the core partial ordering. First we treat two representations of core inverse obtained by Baksalary and Trenkler (2010) and derive maximal classes of matrices for which the representations are valid. Next we discuss several formulas on the core partial ordering presented by Malik (2013), and extend them by deriving maximal classes of matrices for which the formulas remain true.

Keywords: Core inverse; Core partial ordering; Group inverse; Moore–Penrose inverse (search for similar items in EconPapers)
Date: 2018
References: View complete reference list from CitEc
Citations: View citations in EconPapers (2)

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S009630031730543X
Full text for ScienceDirect subscribers only

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:316:y:2018:i:c:p:43-51

DOI: 10.1016/j.amc.2017.07.082

Access Statistics for this article

Applied Mathematics and Computation is currently edited by Theodore Simos

More articles in Applied Mathematics and Computation from Elsevier
Bibliographic data for series maintained by Catherine Liu ().