Open AccessRevisiting of the BT-inverse of matrices
Author(s) -
Wanlin Jiang,
Kezheng Zuo
Publication year - 2020
Publication title -
aims mathematics
Language(s) - English
Resource type - Journals
ISSN - 2473-6988
DOI - 10.3934/math.2021158
Subject(s) - inverse , mathematics , matrix (chemical analysis) , generalized inverse , decomposition , core (optical fiber) , combinatorics , pure mathematics , computer science , chemistry , geometry , telecommunications , organic chemistry , chromatography
In this paper, we discuss different characteristics of the BT-inverse of a square matrix introduced by Baksalary and Trenkler [On a generalized core inverse, Appl. Math. Comput., 236 (2014), 450-457]. While the BT-inverse is defined by a expression, we present some necessary and sufficient conditions for a matrix to be the BT-inverse. Then we give a canonical form of BT-inverse and investigate the relationships between BT-inverse and other generalized inverses by Core-EP decomposition. Some properties of BT-inverse concerned with some classes of special matrix are identified by Core-EP decomposition. Furthermore new representations of BT-inverse are given by the maximal classes of matrices.