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A 52-Addition, Rank-23 Scheme for Exact 3 x 3 Matrix Multiplication

Nielsen, Hugo
arXiv (All) · Papers
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data-structures-and-algorithms
We present a rank-23 algorithm for general 3 x 3 matrix multiplication using 52 additions or subtractions, together with a Karstadt-Schwartz-style basis change [1, 2]. This gives, to the best of our knowledge, a new best-known candidate for the addition-minimization problem for rank-23 general 3 x 3
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