The Approximate Bilinear Complexity of the Multiplication of Matrices of Sizes $$2\times n$$ and $$n\times 4$$
Author:
Publisher
Allerton Press
Subject
Computational Mathematics,Control and Optimization,Human-Computer Interaction
Link
https://link.springer.com/content/pdf/10.3103/S027864192302005X.pdf
Reference13 articles.
1. V. Strassen, ‘‘Gaussian elimination is not optimal,’’ Numer. Math. 13 (4), 354–356 (1969). https://doi.org/10.1007/BF02165411
2. D. Coppersmith and S. Winograd, ‘‘Matrix multiplication via arithmetic progressions,’’ J. Symbolic Comput. 9 (3), 251–280 (1990). https://doi.org/10.1016/S0747-7171(08)80013-2
3. A. V. Smirnov, ‘‘The bilinear complexity and practical algorithms for matrix multiplication,’’ Comput. Math. Math. Phys. 53 (12), 1781–1795 (2013). https://doi.org/10.1134/S0965542513120129
4. V. B. Alekseev and A. V. Smirnov, ‘‘On the exact and approximate bilinear complexities of multiplication of $$4\times 2$$ and $$2\times 2$$ matrices,’’ Proc. Steklov Inst. Math. 282 (Suppl. 1), S123–S139 (2013). https://doi.org/10.1134/S0081543813070079
5. D. Bini, ‘‘Relations between exact and approximate bilinear algorithms. Applications,’’ Calcolo 17 (1), 87–97 (1980). https://doi.org/10.1007/BF02575865
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