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Diskretnaya Matematika, 1996, Volume 8, Issue 1, Pages 52–64
DOI: https://doi.org/10.4213/dm508 (Mi dm508) 		 
On some algebras associated with fast algorithms

V. B. Alekseev
Full-text PDF (1415 kB)
DOI: https://doi.org/10.4213/dm508
Abstract: This paper shows that the results on the existence of fast bilinear algorithms for multiplication of complex numbers and quaternions can be interpreted as enclosure of these algebras into algebras of the corresponding dimensions with a simple multiplication table. The possibilities of such extensions for the complex numbers are completely investigated.
This work was supported by the Russian Foundation for Basic Research, Grant 94–01–01206a.
Received: 16.05.1994
Bibliographic databases:
UDC: 519.7
Language: Russian
Citation: V. B. Alekseev, “On some algebras associated with fast algorithms”, Diskr. Mat., 8:1 (1996), 52–64; Discrete Math. Appl., 6:1 (1996), 53–67
Citation in format AMSBIB
\Bibitem{Ale96}
\by V.~B.~Alekseev
\paper On some algebras associated with fast algorithms
\jour Diskr. Mat.
\yr 1996
\vol 8
\issue 1
\pages 52--64
\mathnet{http://mi.mathnet.ru/dm508}
\crossref{https://doi.org/10.4213/dm508}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1388383}
\zmath{https://zbmath.org/?q=an:0851.68046}
\transl
\jour Discrete Math. Appl.
\yr 1996
\vol 6
\issue 1
\pages 53--67
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    		Дискретная математика
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