Yu. R. Hakopian, S. S. Aleksanyan, “Moore–Penrose inverse of bidiagonal matrices. IV”, Proceedings of the YSU, Physical and Mathematical Sciences, 2016, no. 2, 28

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 2, Pages 28–34 (Mi uzeru155)

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

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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.

Received: 15.04.2016
Accepted: 25.05.2016

Document Type: Article

MSC: Primary 15A09; Secondary 65F20

Language: English

Citation: Yu. R. Hakopian, S. S. Aleksanyan, “Moore–Penrose inverse of bidiagonal matrices. IV”, Proceedings of the YSU, Physical and Mathematical Sciences, 2016, no. 2, 28–34

Citation in format AMSBIB

\Bibitem{HakAle16}

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

\paper Moore–Penrose inverse of  bidiagonal matrices. IV

\jour Proceedings of the YSU, Physical  and Mathematical Sciences

\yr 2016

\issue 2

\pages 28--34

\mathnet{http://mi.mathnet.ru/uzeru155}

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https://www.mathnet.ru/eng/uzeru155

https://www.mathnet.ru/eng/uzeru/y2016/i2/p28

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

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:	142
Full-text PDF :	55
References:	32

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