- PII
- 10.31857/S2686954324040056-1
- DOI
- 10.31857/S2686954324040056
- Publication type
- Article
- Status
- Published
- Authors
- Volume/ Edition
- Volume 518 / Issue number 1
- Pages
- 29-34
- Abstract
- A parametrization of Brent equations is proposed which admit for a several times reduction of the number of unknowns and equations. The arising equations are solved numerically, and for the resulting fast matrix multiplication algorithms many known values of rank are reproduced and even improved, in particular, the designs (4,4,4;48) and (2,4,5;32) are found.
- Keywords
- быстрое умножение матриц алгоритм Штрассена уравнения Брента
- Date of publication
- 15.06.2024
- Year of publication
- 2024
- Number of purchasers
- 0
- Views
- 37
References
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- 8. Kaporin I. Verifying the correctness of the (4,4,4;48) matrix multiplication scheme with complex coefficients exact up to the floating point tolerance // 2024. URL: https://cloud.mail.ru/public/Yfij/ErDxopqBh
- 9. Hopcroft J.E., Kerr L.R. On minimizing the number of multiplications necessary for matrix multiplication // SIAM Journal on Appl. Math. 1971. V. 20. № 1 P. 30–36.
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