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most citedThe tensor rank of 5x5 matrices multiplication is bounded by 98 and its border rank by 89

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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…