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cs.SC2026
Fast matrix multiplication via recursive 4x4x4:48 algorithms into practice
Jean-Guillaume Dumas, Clément Pernet, Alexandre Sedoglavic +2
We present a fast algorithm for multiplying two 4x4 matrices using 48 multiplications and 204 other operations (addition, subtraction or scaling by a constant) over any ring contai…
cs.DS2026
A more accurate rational non-commutative algorithm for multiplying 4x4 matrices using 48 multiplications
Jean-Guillaume Dumas, Clément Pernet, Alexandre Sedoglavic
We propose a more accurate variant of an algorithm for multiplying 4x4 matrices using 48 multiplications over any ring containing an inverse of 2. This algorithm achieves an error…