A rank-23 scheme for 3x3 matrix multiplication over arbitrary associative rings that uses 56 additions/subtractions and 23 multiplications with all coefficients in {-1,0,1}, verified by satisfying the 729 Brent equations over the integers.
Sparsifying the operators of fast matrix multiplication algorithms
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An Exact 56-Addition, Rank-23 Scheme for General 3*3 Matrix Multiplication
A rank-23 scheme for 3x3 matrix multiplication over arbitrary associative rings that uses 56 additions/subtractions and 23 multiplications with all coefficients in {-1,0,1}, verified by satisfying the 729 Brent equations over the integers.