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

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

doi:10.46991/PYSU:A/2023.57.2.031

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/2023.57.2.031

Keywords:

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

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.

References

Hakopian Yu.R., Manukyan A.H., Mikaelyan H.V. The Moore-Penrose Inverse of Tridiagonal Skew-Symmetric Matrices. I.

Proc. of the YSU. Phys. and Math. Sci. 57 (2023), 1-8. https://doi.org/10.46991/PYSU:A/2023.57.1.001

Ben-Israel A., Greville T.N.E. Generalized Inverses: Theory and Applications. New-York, Springer (2003).

Hakopian Yu.R., Manukyan A.H. Analytical Inversion of Tridiagonal Hermitian Matrices. Mathematical Problems of Computer Science 58 (2022), 7-19. https://doi.org/10.51408/1963-0088