Bad and Good News for Strassen’s Laser Method: Border Rank of $$\mathrm{Perm}_3$$ and Strict Submultiplicativity

Author:

Conner Austin,Huang Hang,Landsberg J. M.

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Computational Theory and Mathematics,Computational Mathematics,Analysis

Reference55 articles.

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2. Josh Alman, Limits on the universal method for matrix multiplication, 34th Computational Complexity Conference, LIPIcs. Leibniz Int. Proc. Inform., vol. 137, Schloss Dagstuhl. Leibniz-Zent. Inform., Wadern, 2019, pp. Art. No. 12, 24.

3. Josh Alman and Virginia Vassilevska Williams, A refined laser method and faster matrix multiplication, Proceedings of the 2021 ACM-SIAM Symposium on Discrete Algorithms (SODA), [Society for Industrial and Applied Mathematics (SIAM)], Philadelphia, PA, 2021, pp. 522–539.

4. Josh Alman and Virginia Vassilevska Williams, Further limitations of the known approaches for matrix multiplication, 9th Innovations in Theoretical Computer Science Conference, ITCS 2018, January 11-14, 2018, Cambridge, MA, USA, 2018, pp. 25:1–25:15.

5. Andris Ambainis, Yuval Filmus, and François Le Gall, Fast matrix multiplication: limitations of the Coppersmith-Winograd method (extended abstract), STOC’15—Proceedings of the 2015 ACM Symposium on Theory of Computing, ACM, New York, 2015, pp. 585–593.

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