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

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.

References

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Heinig G., Rost K. Fast Algorithms for Skew-symmetric Toeplitz Matrices. Operator Theory: Advances and Applications 135 (2002), 193-208. https://doi.org/10.1007/978-3-0348-8199-9_12

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

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Published

2023-04-25

How to Cite

Hakopian, Y. R., Manukyan, A. H., & Mikaelyan, H. V. (2023). THE MOORE-PENROSE INVERSE OF TRIDIAGONAL SKEW-SYMMETRIC MATRICES. I. Proceedings of the YSU A: Physical and Mathematical Sciences, 57(1 (260), 1–8. https://doi.org/10.46991/PYSU:A/2023.57.1.001

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Section

Mathematics