English

A non-commutative algorithm for multiplying 5x5 matrices using 99 multiplications

Computational Complexity 2017-12-21 v2 Symbolic Computation

Abstract

We present a non-commutative algorithm for multiplying 5x5 matrices using 99 multiplications. This algorithm is a minor modification of Makarov's algorithm which exhibit the previous best known bound with 100 multiplications.

Keywords

Cite

@article{arxiv.1707.06860,
  title  = {A non-commutative algorithm for multiplying 5x5 matrices using 99 multiplications},
  author = {Alexandre Sedoglavic},
  journal= {arXiv preprint arXiv:1707.06860},
  year   = {2017}
}
R2 v1 2026-06-22T20:53:52.586Z