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Secondary transpose of matrix and generalized inverses.
- Source :
- Journal of Algebra & Its Applications; Mar2024, Vol. 23 Issue 3, p1-16, 16p
- Publication Year :
- 2024
-
Abstract
- In this paper, several existing results related to secondary transpose are critically reviewed and a result analogous to spectral decomposition theorem is obtained for a real secondary symmetric matrix. Noting that Moore–Penrose inverse with reference to secondary transpose involution, namely s -g inverse, need not always exist, we explore a few necessary sufficient conditions for the existence of such Moore–Penrose inverse. Further, we provide expressions and determinantal formula to compute the same. [ABSTRACT FROM AUTHOR]
- Subjects :
- MATRIX inversion
SYMMETRIC matrices
Subjects
Details
- Language :
- English
- ISSN :
- 02194988
- Volume :
- 23
- Issue :
- 3
- Database :
- Complementary Index
- Journal :
- Journal of Algebra & Its Applications
- Publication Type :
- Academic Journal
- Accession number :
- 174066674
- Full Text :
- https://doi.org/10.1142/S021949882450052X