Open AccessNew characterizations of the generalized B-T inverse
Author(s) -
Sanzhang Xu,
Dingguo Wang
Publication year - 2022
Publication title -
filomat
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 34
eISSN - 2406-0933
pISSN - 0354-5180
DOI - 10.2298/fil2203945x
Subject(s) - mathematics , generalized inverse , inverse , integer (computer science) , combinatorics , matrix (chemical analysis) , inverse function , pure mathematics , geometry , materials science , computer science , composite material , programming language
Characterizations and explicit expressions of the generalized B-T inverse are given, this generalized inverse exists for any square matrix and any integer. The relationships between the generalized B-T inverse and some well-known generalized inverses are investigated. Moreover, an explicit formula of the generalized B-T inverse is given by using Hartwig-Spindelb?ck decomposition.