THE MOORE-PENROSE INVERSE OF TRIDIAGONAL SKEW-SYMMETRIC MATRICES. I

Yuri R. Hakopian; Avetik H. Manukyan; Hamlet V. Mikaelyan

doi:10.46991/PYSU:A/2023.57.1.001

Authors

Yuri R. Hakopian Chair of Numerical Analysis and Mathematical Modelling, YSU, Armenia
Avetik H. Manukyan Chair of Numerical Analysis and Mathematical Modelling, YSU, Armenia https://orcid.org/0009-0005-5815-8550
Hamlet V. Mikaelyan Chair of Discrete Mathematics and Theoretical Informatics, YSU, Armenia https://orcid.org/0009-0006-9642-7667

DOI:

https://doi.org/10.46991/PYSU:A/2023.57.1.001

Keywords:

Moore-Penrose inverse, skew-symmetric matrix, tridiagonal matrix

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.

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