Remarks on circulant matrices and critical points of polynomials

In Kushel and Tyaglov (2016) [10], by making use of a connection between critical points and circulant matrices, the authors reproved, in an elegant manner, Schoenberg's conjecture, de Bruin and Sharma's conjecture. Some further questions and open problems are proposed in their paper. In t...

Full description

Saved in:
Bibliographic Details
Published in:Journal of mathematical analysis and applications 2021-10, Vol.502 (1), p.125233, Article 125233
Main Authors: Lin, Minghua, Xie, Mengyan, Zhang, Jiao
Format: Article
Language:English
Subjects:
Circulant matrices
Critical points
Majorization
Zeros
Citations: Items that this one cites
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:In Kushel and Tyaglov (2016) [10], by making use of a connection between critical points and circulant matrices, the authors reproved, in an elegant manner, Schoenberg's conjecture, de Bruin and Sharma's conjecture. Some further questions and open problems are proposed in their paper. In this article, we provide answers to them.
ISSN:0022-247X
1096-0813
DOI:10.1016/j.jmaa.2021.125233