Divisibility of LCM matrices by Totally nonnegative GCD matrices
Rings and Algebras
2020-11-03 v1
Abstract
In this paper, we show that all totally nonnegative GCD matrices are always divisors of the corresponding LCM matrices in the ring . We also introduce \lq\lq column monotone matrices" used to construct all totally nonegative GCD matrices.
Cite
@article{arxiv.2011.00863,
title = {Divisibility of LCM matrices by Totally nonnegative GCD matrices},
author = {Peeraphat Gatephan and Kijti Rodtes},
journal= {arXiv preprint arXiv:2011.00863},
year = {2020}
}