Yu. R. Hakopian, S. S. Aleksanyan, “Moore–Penrose inverse of bidiagonal matrices. III”, Proceedings of the YSU, Physical and Mathematical Sciences, 2016, no. 1, 12

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, 2016, Issue 1, Pages 12–21 (Mi uzeru93)

This article is cited in 1 scientific paper (total in 1 paper)

Mathematics

Moore–Penrose inverse of bidiagonal matrices. III

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

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

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Abstract: The present paper is a direct continuation of the papers [1,2]. We obtain intermediate results, which will be used in the next final fourth part of this study, where a definitive solution to the Moore–Penrose inversion problem for singular upper bidiagonal matrices is given.

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

Received: 12.01.2016

Document Type: Article

MSC: Primary 15A09; Secondary 65F20

Language: English

Citation: Yu. R. Hakopian, S. S. Aleksanyan, “Moore–Penrose inverse of bidiagonal matrices. III”, Proceedings of the YSU, Physical and Mathematical Sciences, 2016, no. 1, 12–21

Citation in format AMSBIB

\Bibitem{HakAle16}

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

\paper Moore–Penrose inverse of bidiagonal matrices. III

\jour Proceedings of the YSU, Physical  and Mathematical Sciences

\yr 2016

\issue 1

\pages 12--21

\mathnet{http://mi.mathnet.ru/uzeru93}

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https://www.mathnet.ru/eng/uzeru93

https://www.mathnet.ru/eng/uzeru/y2016/i1/p12

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 1 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:	177
Full-text PDF :	65
References:	52

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