Fast ultrametric matrix-vector multiplication
Numerical Analysis
2022-01-04 v1 Numerical Analysis
Abstract
We study the properties of ultrametric matrices aiming to design methods for fast ultrametric matrix-vector multiplication. We show how to encode such a matrix as a tree structure in quadratic time and demonstrate how to use the resulting representation to perform matrix-vector multiplications in linear time. Accompanying this article, we provide an implementation of the proposed algorithms and present empirical results on their practical performance.
Cite
@article{arxiv.2201.00017,
title = {Fast ultrametric matrix-vector multiplication},
author = {Tobias Hofmann and Andy Oertel},
journal= {arXiv preprint arXiv:2201.00017},
year = {2022}
}