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@article{CHEB_2012_13_1_a10, author = {Yu. V. Kuznetsov}, title = {{\CYRN}{\cyre}{\cyrk}{\cyro}{\cyrt}{\cyro}{\cyrr}{\cyrery}{\cyre} {\cyrk}{\cyro}{\cyrm}{\cyrb}{\cyri}{\cyrn}{\cyra}{\cyrt}{\cyro}{\cyrr}{\cyrn}{\cyrery}{\cyre} {\cyra}{\cyrs}{\cyrp}{\cyre}{\cyrk}{\cyrt}{\cyrery} {\cyrt}{\cyre}{\cyro}{\cyrr}{\cyre}{\cyrt}{\cyri}{\cyrk}{\cyro}-{\cyrg}{\cyrr}{\cyru}{\cyrp}{\cyrp}{\cyro}{\cyrv}{\cyro}{\cyrg}{\cyro} {\cyrp}{\cyro}{\cyrd}{\cyrh}{\cyro}{\cyrd}{\cyra} {\cyrk} {\cyrp}{\cyrr}{\cyro}{\cyrb}{\cyrl}{\cyre}{\cyrm}{\cyre} {\cyrb}{\cyrery}{\cyrs}{\cyrt}{\cyrr}{\cyro}{\cyrg}{\cyro} {\cyru}{\cyrm}{\cyrn}{\cyro}{\cyrzh}{\cyre}{\cyrn}{\cyri}{\cyrya} {\cyrm}{\cyra}{\cyrt}{\cyrr}{\cyri}{\cyrc}}, journal = {\v{C}eby\v{s}evskij sbornik}, pages = {102--109}, publisher = {mathdoc}, volume = {13}, number = {1}, year = {2012}, language = {ru}, url = {http://geodesic.mathdoc.fr/item/CHEB_2012_13_1_a10/} }
TY - JOUR AU - Yu. V. Kuznetsov TI - Некоторые комбинаторные аспекты теоретико-группового подхода к проблеме быстрого умножения матриц JO - Čebyševskij sbornik PY - 2012 SP - 102 EP - 109 VL - 13 IS - 1 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/CHEB_2012_13_1_a10/ LA - ru ID - CHEB_2012_13_1_a10 ER -
Yu. V. Kuznetsov. Некоторые комбинаторные аспекты теоретико-группового подхода к проблеме быстрого умножения матриц. Čebyševskij sbornik, Tome 13 (2012) no. 1, pp. 102-109. http://geodesic.mathdoc.fr/item/CHEB_2012_13_1_a10/
[1] V. Strassen, “Gaussian elimination is not optimal”, Numer. Math., 13:4 (1969), 354–356 | DOI | MR | Zbl
[2] D. Coppersmith, S. Winograd, “Matrix multiplication via arithmetic progressions”, J. Symbolic Comput., 9:3 (1990), 251-280 | DOI | MR | Zbl
[3] V. Vassilevska Williams, “Multiplying Matrices Faster than Coppersmith-Winograd”, Proceedings of the 44-th Symposium on Theory of Computing, STOC'12, 2012; полная версия: http://www.cs.berkeley.edu/~virgi/matrixmult.pdf
[4] H. Cohn, C. Umans, “A group theoretic approach to fast matrix multiiplication”, Proceedings of the 44th Annual Symposium on Foundations of Computer Science, 2003, 438–449 | DOI
[5] H. Cohn, R. Kleinberg, B. Szegedy, C. Umans, “Group-theoretic algorithms for matrix multiiplication”, Proceedings of the 46th Annual Symposium on Foundations of Computer Science, 2005, 379–388
[6] V. P. Platonov, Yu. V. Kuznetsov, M. M. Petrunin, “O teoretiko-gruppovom podkhode k probleme bystrogo umnozheniya matrits”, Matematicheskoe i kompyuternoe modelirovanie sistem: teoreticheskie i prikladnye aspekty, Sbornik nauchnykh trudov NIISI RAN, Moskva, 2009, 4–15
[7] N. Alon, A. Shpilka, C. Umans, On sunflowers and matrix multiplication, Electronic Colloquium on Computational Complexity, Report No 67, 2011 | Zbl