New Representations of the Group Inverse of 2×2 Block Matrices
Joint Authors
Yang, Qi
Jin, Hongwei
Liu, Xiaoji
Source
Journal of Applied Mathematics
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-07-18
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Abstract EN
This paper presents a full rank factorization of a 2×2 block matrix without any restriction concerning the group inverse.
Applying this factorization, we obtain an explicit representation of the group inverse in terms of four individual blocks of the partitioned matrix without certain restriction.
We also derive some important coincidence theorems, including the expressions of the group inverse with Banachiewicz-Schur forms.
American Psychological Association (APA)
Liu, Xiaoji& Yang, Qi& Jin, Hongwei. 2013. New Representations of the Group Inverse of 2×2 Block Matrices. Journal of Applied Mathematics،Vol. 2013, no. 2013, pp.1-10.
https://search.emarefa.net/detail/BIM-457052
Modern Language Association (MLA)
Liu, Xiaoji…[et al.]. New Representations of the Group Inverse of 2×2 Block Matrices. Journal of Applied Mathematics No. 2013 (2013), pp.1-10.
https://search.emarefa.net/detail/BIM-457052
American Medical Association (AMA)
Liu, Xiaoji& Yang, Qi& Jin, Hongwei. New Representations of the Group Inverse of 2×2 Block Matrices. Journal of Applied Mathematics. 2013. Vol. 2013, no. 2013, pp.1-10.
https://search.emarefa.net/detail/BIM-457052
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-457052