Geodesic
The Moore--Penrose inverse of tridiagonal skew-symmetric matrices. I
Proceedings of the Yerevan State University. Physical and mathematical sciences, Tome 57 (2023) no. 1, pp. 1-8

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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
Mots-clés : tridiagonal matrix. 
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Yu. R. Hakopian; A. A. Manukian; G. V. Mikaelyan. The  Moore--Penrose  inverse  of  tridiagonal  skew-symmetric  matrices.  I. Proceedings of the Yerevan State University. Physical and mathematical sciences, Tome 57 (2023) no. 1, pp. 1-8. http://geodesic.mathdoc.fr/item/UZERU_2023_57_1_a0/