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20002026
most citedThe tensor rank of 5x5 matrices multiplication is bounded by 98 and its border rank by 89

6 citations · 21 across the 14 of their papers we have counts for

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Showing 2017Show all

3 papers · 1 filter

cs.SC2017★ 2 cited

A non-commutative algorithm for multiplying (7 7) matrices using 250 multiplications

Alexandre Sedoglavic

We present a non-commutative algorithm for multiplying (7x7) matrices using 250 multiplications and a non-commutative algorithm for multiplying (9x9) matrices using 520 multiplicat…

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…

cs.SC2017★ 4 cited

Laderman matrix multiplication algorithm can be constructed using Strassen algorithm and related tensor's isotropies

Alexandre Sedoglavic

In 1969, V. Strassen improves the classical~2x2 matrix multiplication algorithm. The current upper bound for 3x3 matrix multiplication was reached by J.B. Laderman in 1976. This no…