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JOURNALS // Proceedings of the Yerevan State University, series Physical and Mathematical Sciences // Archive

Proceedings of the YSU, Physical and Mathematical Sciences, 2023 Volume 57, Issue 1, Pages 1–8 (Mi uzeru1033)

This article is cited in 1 paper

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

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.

MSC: 65F05, 65F20

Received: 30.01.2023
Revised: 16.03.2023
Accepted: 30.03.2023

Language: English

DOI: 10.46991/PYSU:A/2023.57.1.001



© Steklov Math. Inst. of RAS, 2026