Secondary transpose of matrix and generalized inverses
Article Type
Research Article
Publication Title
Journal of Algebra and Its Applications
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.
DOI
10.1142/S021949882450052X
Publication Date
3-1-2024
Recommended Citation
Varkady, Savitha; Purushothama, Divya Shenoy; Kelathaya, Umashankara; and Bapat, Ravindra B., "Secondary transpose of matrix and generalized inverses" (2024). Journal Articles. 5062.
https://digitalcommons.isical.ac.in/journal-articles/5062