A $2n^2-log(n)-1$ lower bound for the border rank of matrix multiplication

J. M. Landsberg; Mateusz Michałek

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arXiv · 1608.07486

A $2n^2-log(n)-1$ lower bound for the border rank of matrix multiplication

J. M. Landsberg·Mateusz Michałek

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Abstract

Let M_n denote the matrix multiplication tensor for nxn matrices. We use the border substitution method combined with Koszul flattenings to prove the border rank lower bound of 2n^2-log(n)-1 for M_n.

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J. M. Landsberg, Mateusz Michałek. 2016-08-26. A $2n^2-log(n)-1$ lower bound for the border rank of matrix multiplication. https://arxiv.org/abs/1608.07486

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