Polynomials that preserve nonnegative monomial matrices
Rings and Algebras
2024-01-04 v1
Abstract
A recently-established necessary condition for polynomials that preserve the class of entrywise nonnegative matrices of a fixed order is shown to be necessary and sufficient for the class of nonnegative monomial matrices. Along the way, we provide a formula for computing an arbitrary power of a monomial matrix and a formula for computing the polynomial of a nonnegative monomial matrix.
Cite
@article{arxiv.2401.01471,
title = {Polynomials that preserve nonnegative monomial matrices},
author = {Benjamin J. Clark and Pietro Paparella},
journal= {arXiv preprint arXiv:2401.01471},
year = {2024}
}