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

Autor:	Hiroshi Kurata
Rok vydání:	2018
Předmět:	Combinatorics Computational Mathematics Pure mathematics Applied Mathematics 010102 general mathematics Core (graph theory) Inverse 010103 numerical & computational mathematics 0101 mathematics Partially ordered set 01 natural sciences Moore–Penrose pseudoinverse Mathematics
Zdroj:	Applied Mathematics and Computation. 316:43-51
ISSN:	0096-3003
Popis:	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.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::186eb4b502146eba66110f49ec4b4557 https://doi.org/10.1016/j.amc.2017.07.082 Zobrazit plný text záznamu Full Text from ScienceDirect