Polynomials that preserve nonnegative matrices of order two
Rings and Algebras
2022-05-03 v2 Complex Variables
Abstract
A known characterization for entire functions that preserve all nonnegative matrices of order two is shown to characterize polynomials that preserve nonnegative matrices of order two. Equivalent conditions are derived and used to prove that , which was previously unknown. A new characterization is given for polynomials that preserve nonnegative circulant matrices of order two.
Cite
@article{arxiv.2109.13365,
title = {Polynomials that preserve nonnegative matrices of order two},
author = {Benjamin J. Clark and Pietro Paparella},
journal= {arXiv preprint arXiv:2109.13365},
year = {2022}
}
Comments
To appear in Mathematics Exchange