Yu. R. Hakopian, S. S. Aleksanyan, “Moore–Penrose inverse of bidiagonal matrices. II”, Proceedings of the YSU, Physical and Mathematical Sciences, 2015, no. 3, 8

Proceedings of the Yerevan State University, series Physical and Mathematical Sciences

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Proceedings of the Yerevan State University, series Physical and Mathematical Sciences, 2015, Issue 3, Pages 8–16 (Mi uzeru30)

This article is cited in 2 scientific papers (total in 2 papers)

Mathematics

Moore–Penrose inverse of bidiagonal matrices. II

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

^a Yerevan State University
^b Russian-Armenian (Slavonic) State University, Yerevan

Full-text PDF (149 kB) Citations (2)

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Abstract: The present paper is a direct continuation of the paper [1]. Here we start our study of the Moore–Penrose inversion problem for upper bidiagonal matrices with any arrangement of one or more zeros on the main diagonal. In the paper we obtain some preliminary results, which will be used in subsequent, third part of the study.

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

Received: 25.09.2015
Accepted: 15.10.2015

Document Type: Article

MSC: Primary 15A09; Secondary 65F20

Language: English

Citation: Yu. R. Hakopian, S. S. Aleksanyan, “Moore–Penrose inverse of bidiagonal matrices. II”, Proceedings of the YSU, Physical and Mathematical Sciences, 2015, no. 3, 8–16

Citation in format AMSBIB

\Bibitem{HakAle15}

\by Yu.~R.~Hakopian, S.~S.~Aleksanyan

\paper Moore–Penrose inverse of bidiagonal matrices. II

\jour Proceedings of the YSU, Physical  and Mathematical Sciences

\yr 2015

\issue 3

\pages 8--16

\mathnet{http://mi.mathnet.ru/uzeru30}

Linking options:

https://www.mathnet.ru/eng/uzeru30

https://www.mathnet.ru/eng/uzeru/y2015/i3/p8

Cycle of papers

Moore–Penrose inverse of bidiagonal matrices. I
Yu. R. Hakopian, S. S. Aleksanyan
Proceedings of the YSU, Physical and Mathematical Sciences, 2015:2, 11–20
Moore–Penrose inverse of bidiagonal matrices. II
Yu. R. Hakopian, S. S. Aleksanyan
Proceedings of the YSU, Physical and Mathematical Sciences, 2015:3, 8–16
Moore–Penrose inverse of bidiagonal matrices. III
Yu. R. Hakopian, S. S. Aleksanyan
Proceedings of the YSU, Physical and Mathematical Sciences, 2016:1, 12–21
Moore–Penrose inverse of bidiagonal matrices. IV
Yu. R. Hakopian, S. S. Aleksanyan
Proceedings of the YSU, Physical and Mathematical Sciences, 2016:2, 28–34

This publication is cited in the following 2 articles:

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

Proceedings of the Yerevan State University, series Physical and Mathematical Sciences

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Abstract page:	151
Full-text PDF :	54
References:	77
First page:	20

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