Geodesic
On some algebras associated with fast algorithms
Diskretnaya Matematika, Tome 8 (1996) no. 1, pp. 52-64.

Voir la notice de l'article provenant de la source Math-Net.Ru

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. 
@article{DM_1996_8_1_a2,
     author = {V. B. Alekseev},
     title = {On some algebras associated with fast algorithms},
     journal = {Diskretnaya Matematika},
     pages = {52--64},
     publisher = {mathdoc},
     volume = {8},
     number = {1},
     year = {1996},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/DM_1996_8_1_a2/}
}
TY  - JOUR
AU  - V. B. Alekseev
TI  - On some algebras associated with fast algorithms
JO  - Diskretnaya Matematika
PY  - 1996
SP  - 52
EP  - 64
VL  - 8
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/DM_1996_8_1_a2/
LA  - ru
ID  - DM_1996_8_1_a2
ER  - 
%0 Journal Article
%A V. B. Alekseev
%T On some algebras associated with fast algorithms
%J Diskretnaya Matematika
%D 1996
%P 52-64
%V 8
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/DM_1996_8_1_a2/
%G ru
%F DM_1996_8_1_a2
V. B. Alekseev. On some algebras associated with fast algorithms. Diskretnaya Matematika, Tome 8 (1996) no. 1, pp. 52-64. http://geodesic.mathdoc.fr/item/DM_1996_8_1_a2/