Yu. R. Hakopian, S. S. Aleksanyan, “Moore–Penrose inverse of bidiagonal matrices. IV”, Proceedings of the YSU, Physical and Mathematical Sciences, 2016, Issue 2,Pages <nobr>28

Mathematics

Moore–Penrose inverse of bidiagonal matrices. IV

Yu. R. Hakopian^a, S. S. Aleksanyan^b

^a Chair of Numerical Analysis and Mathematical Modeling YSU, Armenia
^b Chair of Mathematics and Mathematical Modeling RAU, Armenia

Abstract: The present work completes a research started in the papers $[1-3]$. Based on the results obtained in the previous papers, here we give a definitive solution to the problem of the Moore–Penrose inversion of singular upper bidiagonal matrices.

Keywords: generalized inverse, Moore–Penrose inverse, bidiagonal matrix.

MSC: Primary 15A09; Secondary 65F20

Received: 15.04.2016
Accepted: 25.05.2016

Language: English