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cs.CC2021★ 6 cited
The tensor rank of 5x5 matrices multiplication is bounded by 98 and its border rank by 89
Alexandre Sedoglavic, Alexey V. Smirnov
We present a non-commutative algorithm for the product of 3x5 by 5x5 matrices using 58 multiplications. This algorithm allows to construct a non-commutative algorithm for multiplyi…
cs.CC2017
A non-commutative algorithm for multiplying 5x5 matrices using 99 multiplications
Alexandre Sedoglavic
We present a non-commutative algorithm for multiplying 5x5 matrices using 99 multiplications. This algorithm is a minor modification of Makarov's algorithm which exhibit the previo…