# On the asymptotic complexity of matrix multiplication

@article{Coppersmith1981OnTA,
title={On the asymptotic complexity of matrix multiplication},
journal={22nd Annual Symposium on Foundations of Computer Science (sfcs 1981)},
year={1981},
pages={82-90}
}
• Published 28 October 1981
• Computer Science, Mathematics
• 22nd Annual Symposium on Foundations of Computer Science (sfcs 1981)
The main results of this paper have the following flavor: given one algorithm for multiplying matrices, there exists another, better, algorithm. A consequence of these results is that ω, the exponent for matrix multiplication, is a limit point, that is, cannot be realized by any single algorithm. We also use these results to construct a new algorithm which shows that ω ≪ 2.495364.
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