English

Laderman matrix multiplication algorithm can be constructed using Strassen algorithm and related tensor's isotropies

Symbolic Computation 2017-05-11 v4

Abstract

In 1969, V. Strassen improves the classical~2x2 matrix multiplication algorithm. The current upper bound for 3x3 matrix multiplication was reached by J.B. Laderman in 1976. This note presents a geometric relationship between Strassen and Laderman algorithms. By doing so, we retrieve a geometric formulation of results very similar to those presented by O. Sykora in 1977.

Keywords

Cite

@article{arxiv.1703.08298,
  title  = {Laderman matrix multiplication algorithm can be constructed using Strassen algorithm and related tensor's isotropies},
  author = {Alexandre Sedoglavic},
  journal= {arXiv preprint arXiv:1703.08298},
  year   = {2017}
}
R2 v1 2026-06-22T18:55:36.827Z