All reports by Author Vladimir Lysikov:

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TR20-030
| 9th March 2020
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Matthias Christandl, François Le Gall, Vladimir Lysikov, Jeroen Zuiddam#### Barriers for Rectangular Matrix Multiplication

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TR18-064
| 3rd April 2018
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Markus Bläser, Christian Ikenmeyer, Gorav Jindal, Vladimir Lysikov#### Generalized Matrix Completion and Algebraic Natural Proofs

Matthias Christandl, François Le Gall, Vladimir Lysikov, Jeroen Zuiddam

We study the algorithmic problem of multiplying large matrices that are rectangular. We prove that the method that has been used to construct the fastest algorithms for rectangular matrix multiplication cannot give optimal algorithms. In fact, we prove a precise numerical barrier for this method. Our barrier improves the previously ... more >>>

Markus Bläser, Christian Ikenmeyer, Gorav Jindal, Vladimir Lysikov

Algebraic natural proofs were recently introduced by Forbes, Shpilka and Volk (Proc. of the 49th Annual {ACM} {SIGACT} Symposium on Theory of Computing (STOC), pages {653--664}, 2017) and independently by Grochow, Kumar, Saks and Saraf~(CoRR, abs/1701.01717, 2017) as an attempt to transfer Razborov and Rudich's famous barrier result (J. Comput. ... more >>>