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The bilinear complexity and practical algorithms for matrix multiplication

Published:2013-12 Issue:12 Volume:53 Page:1781-1795
ISSN:0965-5425
Container-title:Computational Mathematics and Mathematical Physics
language:en
Short-container-title:Comput. Math. and Math. Phys.

Author:

Smirnov A. V.

Publisher

Pleiades Publishing Ltd

Subject

Computational Mathematics

Link

http://link.springer.com/content/pdf/10.1134/S0965542513120129.pdf

Reference22 articles.

1. V. Strassen, “Gaussian elimination is not optimal,” Numer. Math. 13, 354–356 (1969).

2. D. Coppersmith and S. Winograd, “Matrix multiplication via arithmetic progressions,” J. Symbolic Comput. 9, 251–280 (1990).

3. S. Hunold, T. Rauber, and G. Runger, “Combining building blocks for parallel multi-level matrix multiplication,” Parallel Comput. 34, 411–426 (2008).

4. I. Kaporin, “The aggregation and cancellation techniques as a practical tool for faster matrix multiplication,” Theor. Comput. Sci. 315, 469–510 (2004).

5. J. Laderman, V. Y. Pan, and X.-H. Sha, “On practical algorithms for accelerated matrix multiplication,” Linear Algebra Appl. 162-164, 557–588 (1992).

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