The weak core inverse

In this paper, we introduce a new generalized inverse, called weak core inverse (or, in short, WC inverse) of a complex square matrix. This new inverse extends the notion of the core inverse defined by Baksalary and Trenkler (Linear Multilinear Algebra 58(6):681–697, 2010). We investigate characteri...

Full description

Saved in:
Bibliographic Details
Published in:Aequationes mathematicae 2021-04, Vol.95 (2), p.351-373
Main Authors: Ferreyra, D. E., Levis, F. E., Priori, A. N., Thome, N.
Format: Article
Language:English
Subjects:
Analysis
Combinatorics
Generalized inverse
Mathematics
Mathematics and Statistics
Matrices (mathematics)
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:In this paper, we introduce a new generalized inverse, called weak core inverse (or, in short, WC inverse) of a complex square matrix. This new inverse extends the notion of the core inverse defined by Baksalary and Trenkler (Linear Multilinear Algebra 58(6):681–697, 2010). We investigate characterizations, representations, and properties for this generalized inverse. In addition, we introduce weak core matrices (or, in short, WC matrices) and we show that these matrices form a more general class than that given by the known weak group matrices, recently investigated by H. Wang and X. Liu.
ISSN:0001-9054
1420-8903
DOI:10.1007/s00010-020-00752-z