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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 2, Pages 31–43 (Mi uzeru1079)

Mathematics

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

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

Yerevan State University, Faculty of Mathematics and Mechanics

Abstract: 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, tridiagonal matrix.

MSC: 65F05, 65F20

Received: 30.01.2023
Revised: 16.03.2023
Accepted: 16.03.2023

Language: English

DOI: 10.46991/PYSU:A/2023.57.2.031



© Steklov Math. Inst. of RAS, 2024