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Limits RegistryDeepMind's AlphaTensor found an algorithm to multiply two 4x4 matrices with 47 multiplications in arithmetic modulo 2, improving on the 49 obtained by applying Strassen's 1969 algorithm recursively — the first improvement for this case in more than 50 years. It was published in Nature in October 2022.
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DeepMind's AlphaTensor found an algorithm to multiply two 4x4 matrices with 47 multiplications in arithmetic modulo 2, improving on the 49 obtained by applying Strassen's 1969 algorithm recursively — the first improvement for this case in more than 50 years. It was published in Nature in October 2022.
The smallest known rank of a bilinear algorithm for multiplying two 4x4 matrices over the field with two elements.
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Permanent ID limitsregistry.com/limits/LR-ALPHATENSOR-4X4-MOD2-MULTIPLICATIONS
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Limits Registry. LR-ALPHATENSOR-4X4-MOD2-MULTIPLICATIONS. Fewest multiplications for 4x4 matrix multiplication over GF(2). 2026.