A 60-Addition, Rank-23 Scheme for Exact 3x3 Matrix Multiplication

Abstract

We reduce the additive cost of general (non-commutative) 3x3 matrix multiplication from the previous records of 61 (Schwartz-Vaknin, 2023) and 62 (Martensson-Wagner, 2025) to 60 without a change of basis. To our knowledge, this represents a new state-of-the-art.

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