TY - JOUR
T1 - Secondary transpose of matrix and generalized inverses
AU - Varkady, Savitha
AU - Purushothama, Divya Shenoy
AU - Kelathaya, Umashankara
AU - Bapat, Ravindra B.
N1 - Publisher Copyright:
© 2024 World Scientific Publishing Company.
PY - 2022
Y1 - 2022
N2 - 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.
AB - 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.
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U2 - 10.1142/S021949882450052X
DO - 10.1142/S021949882450052X
M3 - Article
AN - SCOPUS:85143779823
SN - 0219-4988
JO - Journal of Algebra and Its Applications
JF - Journal of Algebra and Its Applications
M1 - 2450052
ER -