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arXiv · 2505.05896

Consequences of the Moosbauer-Poole Algorithms

Manuel Kauers·Isaac Wood
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Abstract

Moosbauer and Poole have recently shown that the multiplication of two $5\times 5$ matrices requires no more than 93 multiplications in the (possibly non-commutative) coefficient ring, and that the multiplication of two $6\times 6$ matrices requires no more than 153 multiplications. Taking these multiplication schemes as starting points, we found improved matrix multiplication schemes for various rectangular matrix formats using a flip graph search.

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Manuel Kauers, Isaac Wood. 2025-05-09. Consequences of the Moosbauer-Poole Algorithms. https://arxiv.org/abs/2505.05896

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