On the minimum number of Toeplitz factors of a matrix
Commutative Algebra
2025-06-23 v1
Abstract
We disprove a conjecture by Ye and Lim, by showing that there are complex matrices which can't be expressed as the product of two Toeplitz matrices of the same size. We also improve previous estimates by Ye and Lim on the minimum number of Toeplitz matrices needed to factor any matrix, for low values of .
Keywords
Cite
@article{arxiv.2506.16432,
title = {On the minimum number of Toeplitz factors of a matrix},
author = {Ignacio García-Marco and Irene Márquez-Corbella and Daniel Seco},
journal= {arXiv preprint arXiv:2506.16432},
year = {2025}
}