Yu. R. Hakopian, S. S. Aleksanyan, “Moore–Penrose inverse of bidiagonal matrices. I”, Proceedings of the YSU, Physical and Mathematical Sciences, 2015, no. 2, 11

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 2, Pages 11–20 (Mi uzeru19)

This article is cited in 3 scientific papers (total in 3 papers)

Mathematics

Moore–Penrose inverse of bidiagonal matrices. I

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

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

Full-text PDF (162 kB) Citations (3)

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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.

Received: 27.04.2015
Accepted: 15.05.2015

Document Type: Article

MSC: Primary 15A09; Secondary 65F20

Language: English

Citation: Yu. R. Hakopian, S. S. Aleksanyan, “Moore–Penrose inverse of bidiagonal matrices. I”, Proceedings of the YSU, Physical and Mathematical Sciences, 2015, no. 2, 11–20

Citation in format AMSBIB

\Bibitem{HakAle15}

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

\paper Moore–Penrose inverse of bidiagonal matrices. I

\jour Proceedings of the YSU, Physical  and Mathematical Sciences

\yr 2015

\issue 2

\pages 11--20

\mathnet{http://mi.mathnet.ru/uzeru19}

Linking options:

https://www.mathnet.ru/eng/uzeru19

https://www.mathnet.ru/eng/uzeru/y2015/i2/p11

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 3 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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Full-text PDF :	59
References:	71

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