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Proceedings of the Yerevan State University, series Physical and Mathematical Sciences, 2023, Volume 57, Issue 1, Pages 1–8
DOI: https://doi.org/10.46991/PYSU:A/2023.57.1.001 (Mi uzeru1033) 		 
Mathematics

The Moore–Penrose inverse of tridiagonal skew-symmetric matrices. I

Yu. R. Hakopian, A. A. Manukian, G. V. Mikaelyan

Yerevan State University, Faculty of Mathematics and Mechanics
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DOI: https://doi.org/10.46991/PYSU:A/2023.57.1.001
Abstract: The present work is devoted to deriving closed form expressions for the elements of the Moore–Penrose inverse of tridiagonal real skew-symmetric matrices. In the first part of the work we obtain results, concerning matrices of even order. A calculation approach for the generalized inverses of odd order matrices is provided.
Keywords: Moore–Penrose inverse, skew-symmetric matrix, tridiagonal matrix.
Received: 30.01.2023
Revised: 16.03.2023
Accepted: 30.03.2023
Document Type: Article
MSC: 65F05, 65F20
Language: English
Citation: Yu. R. Hakopian, A. A. Manukian, G. V. Mikaelyan, “The Moore–Penrose inverse of tridiagonal skew-symmetric matrices. I”, Proceedings of the YSU, Physical and Mathematical Sciences, 57:1 (2023), 1–8
Citation in format AMSBIB
\Bibitem{HakManMik23}
\by Yu.~R.~Hakopian, A.~A.~Manukian, G.~V.~Mikaelyan
\paper The Moore--Penrose inverse of tridiagonal skew-symmetric matrices. I
\jour Proceedings of the YSU, Physical and Mathematical Sciences
\yr 2023
\vol 57
\issue 1
\pages 1--8
\mathnet{http://mi.mathnet.ru/uzeru1033}
\crossref{https://doi.org/10.46991/PYSU:A/2023.57.1.001}
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