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Zapiski Nauchnykh Seminarov POMI, 2022, Volume 514, Pages 5–17 (Mi znsl7239)  
An upper bound for the chainable index

Yu. A. Alpina, A. E. Gutermanb, E. R. Shafeevc

a Kazan
b Technion – Israel Institute of Technology, Haifa
c Lomonosov Moscow State University
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Abstract: The paper considers the chainable index of a square matrix of order $n$ and proves that it does not exceed $n-1$. Also it is demonstrated that every integer in between $0$ and $n-1$ is a value of the chainable index.
Key words and phrases: Non-negative matrices, chainable matrices, chainable index, chainable rank.
Funding agency Grant number
European Research Council 101039692
Ministry of Science and Higher Education of the Russian Federation 075-02-2022-882
Received: 12.10.2022
Document Type: Article
UDC: 512.643
Language: Russian
Citation: Yu. A. Alpin, A. E. Guterman, E. R. Shafeev, “An upper bound for the chainable index”, Computational methods and algorithms. Part XXXV, Zap. Nauchn. Sem. POMI, 514, POMI, St. Petersburg, 2022, 5–17
Citation in format AMSBIB
\Bibitem{AlpGutSha22}
\by Yu.~A.~Alpin, A.~E.~Guterman, E.~R.~Shafeev
\paper An upper bound for the chainable index
\inbook Computational methods and algorithms. Part~XXXV
\serial Zap. Nauchn. Sem. POMI
\yr 2022
\vol 514
\pages 5--17
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl7239}
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