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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 1979, Volume 19, Number 3, Pages 581–593 (Mi zvmmf5408)  

This article is cited in 3 scientific papers (total in 3 papers)

Extension of Strassen's estimate to the solution of arbitrary systems of linear equations

V. I. Solodovnikov

Moskva
Abstract: It is shown that any system of linear equations can be solved in $O(max(m, n)~(min(m, n))^{1.81})$ operations, where $m$ is the number of equations and $n$ the number of unknowns.
Received: 13.02.1978
Revised: 06.07.1978
English version:
USSR Computational Mathematics and Mathematical Physics, 1979, Volume 19, Issue 3, Pages 21–33
DOI: https://doi.org/10.1016/0041-5553(79)90125-3
Bibliographic databases:
Document Type: Article
UDC: 519.61
MSC: Primary 65F20; Secondary 65F05, 68Q25, 15A23
Language: Russian
Citation: V. I. Solodovnikov, “Extension of Strassen's estimate to the solution of arbitrary systems of linear equations”, Zh. Vychisl. Mat. Mat. Fiz., 19:3 (1979), 581–593; U.S.S.R. Comput. Math. Math. Phys., 19:3 (1979), 21–33
Citation in format AMSBIB
\Bibitem{Sol79}
\by V.~I.~Solodovnikov
\paper Extension of Strassen's estimate to the solution of arbitrary systems of linear equations
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 1979
\vol 19
\issue 3
\pages 581--593
\mathnet{http://mi.mathnet.ru/zvmmf5408}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=538927}
\zmath{https://zbmath.org/?q=an:0448.65018}
\transl
\jour U.S.S.R. Comput. Math. Math. Phys.
\yr 1979
\vol 19
\issue 3
\pages 21--33
\crossref{https://doi.org/10.1016/0041-5553(79)90125-3}
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  • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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