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Fast matrix multiplication via recursive $\langle$ 4x4x4:48 $\rangle$ algorithms into practice

Dumas, Jean-Guillaume et al.
arXiv (All) · Papers
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symbolic-computation
We present a fast algorithm for multiplying two 4x4 matrices using 48 multiplications and 216 other operations (addition, subtraction or scaling by a constant) over any ring containing an inverse of 2. Applied recursively, this algorithm reaches a cost bound with leading term $7.75 n^{\log_4(48)}$.
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