Flip Graphs for Matrix Multiplication
Symbolic Computation
2022-12-05 v1
Abstract
We introduce a new method for discovering matrix multiplication schemes based on random walks in a certain graph, which we call the flip graph. Using this method, we were able to reduce the number of multiplications for the matrix formats (4, 4, 5) and (5, 5, 5), both in characteristic two and for arbitrary ground fields.
Cite
@article{arxiv.2212.01175,
title = {Flip Graphs for Matrix Multiplication},
author = {Manuel Kauers and Jakob Moosbauer},
journal= {arXiv preprint arXiv:2212.01175},
year = {2022}
}