A non-commutative algorithm for multiplying 5x5 matrices using 99 multiplications

Alexandre Sedoglavic

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arXiv · 1707.06860

A non-commutative algorithm for multiplying 5x5 matrices using 99 multiplications

Alexandre Sedoglavic

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Abstract

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 previous best known bound with 100 multiplications.

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Alexandre Sedoglavic. 2017-12-20. A non-commutative algorithm for multiplying 5x5 matrices using 99 multiplications. https://arxiv.org/abs/1707.06860

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