2022
DOI: 10.1142/s021949882450052x
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Secondary transpose of matrix and generalized inverses

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 [Formula: see text]-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 … Show more

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Cited by 3 publications
(1 citation statement)
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“…In Ref. 10 , a necessary and sufficient conditions of existence of s-g invese is given. In the same article, a few characterizations and a determinantal formula for s-g inverse also has been discussed.…”
Section: Introductionmentioning
confidence: 99%
“…In Ref. 10 , a necessary and sufficient conditions of existence of s-g invese is given. In the same article, a few characterizations and a determinantal formula for s-g inverse also has been discussed.…”
Section: Introductionmentioning
confidence: 99%