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Sibirskii Zhurnal Vychislitel'noi Matematiki, 2014, Volume 17, Number 3, Pages 289–304 (Mi sjvm549)  
This article is cited in 22 scientific papers (total in 22 papers)

On the full rank interval matrices

S. P. Shary

Institute of computationatl technologies SB RAS, 6 Lavrentjev pr., Novosibirsk, 630090, Russia
Full-text PDF (443 kB) Citations (22)
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Abstract: For interval matrices, the paper considers the problem of determining whether a matrix has a full rank. We propose the full rank criterion that relies on the search for diagonal dominance as well as criteria based on pseudoinversion of the midpoint matrix and comparison of the midpoint and the radius matrices for the interval matrix under study.
Key words: interval matrix, full rank, full rank criteria.
Received: 17.06.2013
Revised: 06.09.2013
English version:
Numerical Analysis and Applications, 2014, Volume 7, Issue 3, Pages 241–254
DOI: https://doi.org/10.1134/S1995423914030069
Bibliographic databases:
Document Type: Article
UDC: 512.64+519.61
Language: Russian
Citation: S. P. Shary, “On the full rank interval matrices”, Sib. Zh. Vychisl. Mat., 17:3 (2014), 289–304; Num. Anal. Appl., 7:3 (2014), 241–254
Citation in format AMSBIB
\Bibitem{Sha14}
\by S.~P.~Shary
\paper On the full rank interval matrices
\jour Sib. Zh. Vychisl. Mat.
\yr 2014
\vol 17
\issue 3
\pages 289--304
\mathnet{http://mi.mathnet.ru/sjvm549}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3409487}
\transl
\jour Num. Anal. Appl.
\yr 2014
\vol 7
\issue 3
\pages 241--254
\crossref{https://doi.org/10.1134/S1995423914030069}
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    • This publication is cited in the following 22 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Sibirskii Zhurnal Vychislitel'noi Matematiki
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