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Doklady Rossijskoj Akademii Nauk. Mathematika, Informatika, Processy Upravlenia, 2024, Volume 518, Pages 29–34
DOI: https://doi.org/10.31857/S2686954324040056 (Mi danma547) 		 
MATHEMATICS

Semi-analytical solution of brent equations

I. E. Kaporin

Federal Research Center "Computer Science and Control" of Russian Academy of Sciences, Moscow, Russia
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DOI: https://doi.org/10.31857/S2686954324040056
Abstract: A parametrization of Brent equations is proposed which leads to a several times reduction of the number of unknowns and equations. The arising equations are solved numerically using a nonlinear least squares method. Matrix multiplication algorithms that are faster than previously known ones are obtained. In particular, (4,4,4;48)- and (2,4,5;32)-algorithms are found.
Keywords: fast matrix multiplication, Brent equations, Strassen algorithm.
Presented: E. E. Tyrtyshnikov
Received: 13.03.2024
Revised: 20.05.2024
Accepted: 16.07.2024
English version:
Doklady Mathematics, 2024, Volume 110, Issue 1, Pages 318–322
DOI: https://doi.org/10.1134/S1064562424702223
Bibliographic databases:
Document Type: Article
UDC: 519.615.5
Language: Russian
Citation: I. E. Kaporin, “Semi-analytical solution of brent equations”, Dokl. RAN. Math. Inf. Proc. Upr., 518 (2024), 29–34; Dokl. Math., 110:1 (2024), 318–322
Citation in format AMSBIB
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\by I.~E.~Kaporin
\paper Semi-analytical solution of brent equations
\jour Dokl. RAN. Math. Inf. Proc. Upr.
\yr 2024
\vol 518
\pages 29--34
\mathnet{http://mi.mathnet.ru/danma547}
\crossref{https://doi.org/10.31857/S2686954324040056}
\elib{https://elibrary.ru/item.asp?id=74176076}
\transl
\jour Dokl. Math.
\yr 2024
\vol 110
\issue 1
\pages 318--322
\crossref{https://doi.org/10.1134/S1064562424702223}
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