Siberian Journal of Pure and Applied Mathematics
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Siberian Journal of Pure and Applied Mathematics, 2018, Volume 18, Issue 1, Pages 28–34
DOI: https://doi.org/10.17377/PAM.2018.18.3 (Mi vngu461) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Probabilistic estimation of matrix condition number

V. S. Antyufeevab

a Institute Numerical Mathematics and Mathematical Geophysics SB RAS, 6, Akad. Lavrent’eva pr., Novosibirsk 630090, Russia
b Novosibirsk State University, 1, Pirogova St., Novosibirsk 630090, Russia
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DOI: https://doi.org/10.17377/PAM.2018.18.3
Abstract: Ill-conditioned matrices of systems of linear algebraic equations with random error of the right-hand side vector considered. The condition number of the system matrix is investigated. It is shown that under some natural conditions the number $\nu$ may be significantly decreased.
Keywords: ill-conditioned matrix, condition number, vector of random error, distribution function.
Received: 18.01.2017
English version:
Journal of Mathematical Sciences, 2020, Volume 246, Issue 6, Pages 755–762
DOI: https://doi.org/10.1007/s10958-020-04778-1
Document Type: Article
UDC: 519.6
Language: Russian
Citation: V. S. Antyufeev, “Probabilistic estimation of matrix condition number”, Sib. J. Pure and Appl. Math., 18:1 (2018), 28–34; J. Math. Sci., 246:6 (2020), 755–762
Citation in format AMSBIB
\Bibitem{Ant18}
\by V.~S.~Antyufeev
\paper Probabilistic estimation of matrix condition number
\jour Sib. J. Pure and Appl. Math.
\yr 2018
\vol 18
\issue 1
\pages 28--34
\mathnet{http://mi.mathnet.ru/vngu461}
\crossref{https://doi.org/10.17377/PAM.2018.18.3}
\transl
\jour J. Math. Sci.
\yr 2020
\vol 246
\issue 6
\pages 755--762
\crossref{https://doi.org/10.1007/s10958-020-04778-1}
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