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The Moore–Penrose inverse of tridiagonal skew-symmetric matrices. II
Proceedings of the Yerevan State University. Physical and mathematical sciences, Tome 57 (2023) no. 2, pp. 31-43 Cet article a éte moissonné depuis la source Math-Net.Ru

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This article is the second part of the work started in the previous publication by the authors [1]. The results presented here relate to deriving closed form expressions for the elements of the Moore–Penrose inverse of tridiagonal real skew-symmetric matrices of odd order. On the base of the formulas obtained, an algorithm that is optimal in terms of the amount of computational efforts is constructed.
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. II. Proceedings of the Yerevan State University. Physical and mathematical sciences, Tome 57 (2023) no. 2, pp. 31-43. http://geodesic.mathdoc.fr/item/UZERU_2023_57_2_a0/

[1] Yu. R. Hakopian, A. H. Manukyan, H. V. Mikaelyan, “The Moore-Penrose Inverse of Tridiagonal Skew-Symmetric Matrices. I”, Proc. of the YSU. Phys. and Math. Sci., 57 (2023), 1–8 | DOI

[2] A. Ben-Israel, N. E. Greville-Thomas, Generalized Inverses: Theory and Applications, Springer-Verlag, New York, 2003 | MR | Zbl

[3] Yu. R. Hakopian, A. H. Manukyan, “Analytical Inversion of Tridiagonal Hermitian Matrices”, Mathematical Problems of Computer Science, 58 (2022), 7–19 | DOI | MR