MOORE–PENROSE INVERSE OF BIDIAGONAL MATRICES. I

Yu.R. Hakopian; S.S. Aleksanyan

doi:10.46991/PSYU:A/2015.49.2.011

MOORE–PENROSE INVERSE OF BIDIAGONAL MATRICES. I

Authors

Yu.R. Hakopian Chair of Numerical Analysis and Mathematical Modeling, YSU, Armenia
S.S. Aleksanyan Chair of Mathematics and Mathematical Modeling, RAU, Armenia

DOI:

https://doi.org/10.46991/PSYU:A/2015.49.2.011

Keywords:

generalized inverse, Moore–Penrose inverse, bidiagonal matrix

Abstract

In the present paper we deduce closed form expressions for the entries of the Moore–Penrose inverse of a special type upper bidiagonal matrices. On the base of the formulae obtained, a finite algorithm with optimal order of computational complexity is constructed.

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Published

2015-06-12

How to Cite

Hakopian, Y., & Aleksanyan, S. (2015). MOORE–PENROSE INVERSE OF BIDIAGONAL MATRICES. I. Proceedings of the YSU A: Physical and Mathematical Sciences, 49(2 (237), 11–20. https://doi.org/10.46991/PSYU:A/2015.49.2.011