Treffer: Further characterizations of the weak group inverse of matrices and the weak group matrix
Title:
Further characterizations of the weak group inverse of matrices and the weak group matrix
Authors:
Source:
AIMS Mathematics, Vol 6, Iss 9, Pp 9322-9341 (2021)
Publisher Information:
American Institute of Mathematical Sciences (AIMS), 2021.
Publication Year:
2021
Subject Terms:
Vector spaces, linear dependence, rank, lineability, null space, Matrix equations and identities, General (adjoints, conjugates, products, inverses, domains, ranges, etc.), weak group inverse, 01 natural sciences, weak group matrix, rang space, core-ep decomposition, QA1-939, core-EP decomposition, Theory of matrix inversion and generalized inverses, 0101 mathematics, Mathematics
Document Type:
Fachzeitschrift
Article<br />Other literature type
File Description:
application/xml
ISSN:
2473-6988
DOI:
10.3934/math.2021542
Access URL:
Rights:
CC BY
Accession Number:
edsair.doi.dedup.....d74bb89f039f0b5c879dcffe4c5fb9cc
Database:
OpenAIRE
Weitere Informationen
This paper is devoted to consider some new characteristics and properties of the weak group inverse and the weak group matrix. First, we characterize the weak group inverse of a square matrix based on its range space and null space. Also several different characterizations of the weak group inverse are presented by projection and the Bott-Duffin inverse. Then by using the core-EP decomposition, we investigate the relationships between weak group inverse and other generalized inverses. And some new characterizations of weak group matrix are obtained.