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Fundamentalnaya i Prikladnaya Matematika, 2012, Volume 17, Issue 2, Pages 107–166 (Mi fpm1404)  

This article is cited in 1 scientific paper (total in 1 paper)

The matrix capacity of a tensor

D. V. Zhdanovich

M. V. Lomonosov Moscow State University
Full-text PDF (471 kB) Citations (1)
References:
Abstract: In 1990, D. Coppersmith and S. Winograd published an estimate of the amount of arithmetic operations necessary for the multiplication of square matrices $n\times n$, which equals $O(n^{2.3755})$. In this article, we make a systematization of the theoretical instruments that were used by D. Coppersmith and S. Winograd for their estimate. The improved estimate $O(n^{2.373})$ is one of the results of this systematization.
English version:
Journal of Mathematical Sciences (New York), 2012, Volume 186, Issue 4, Pages 599–643
DOI: https://doi.org/10.1007/s10958-012-1009-7
Bibliographic databases:
Document Type: Article
UDC: 512.55
Language: Russian
Citation: D. V. Zhdanovich, “The matrix capacity of a tensor”, Fundam. Prikl. Mat., 17:2 (2012), 107–166; J. Math. Sci., 186:4 (2012), 599–643
Citation in format AMSBIB
\Bibitem{Zhd12}
\by D.~V.~Zhdanovich
\paper The matrix capacity of a~tensor
\jour Fundam. Prikl. Mat.
\yr 2012
\vol 17
\issue 2
\pages 107--166
\mathnet{http://mi.mathnet.ru/fpm1404}
\transl
\jour J. Math. Sci.
\yr 2012
\vol 186
\issue 4
\pages 599--643
\crossref{https://doi.org/10.1007/s10958-012-1009-7}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84866523737}
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  • https://www.mathnet.ru/eng/fpm1404
  • https://www.mathnet.ru/eng/fpm/v17/i2/p107
  • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Фундаментальная и прикладная математика
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    Abstract page:503
    Full-text PDF :245
    References:60
    First page:2
     
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