This article is cited in 3 papers

Mathematics

Moore–Penrose inverse of bidiagonal matrices. I

Yu. R. Hakopian^a, S. S. Aleksanyan<sup>b

a</sup> Yerevan State University
^b Russian-Armenian (Slavonic) State University, Yerevan

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.

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

MSC: Primary 15A09; Secondary 65F20

Received: 27.04.2015
Accepted: 15.05.2015

Language: English