SKEW-CIRCULANT MATRIX AND CRITICAL POINTS OF POLYNOMIALS

被引：1

作者：

Wei, Yunlan ^{[1
]}

Zheng, Yanpeng ^{[2
]}

Jiang, Zhaolin ^{[1
]}

机构：

[1] Linyi Univ, Sch Math & Stat, Linyi 276000, Peoples R China

[2] Linyi Univ, Sch Automat & Elect Engn, Linyi 276000, Peoples R China

来源：

JOURNAL OF MATHEMATICAL INEQUALITIES | 2023年 / 17卷 / 04期

基金：

中国国家自然科学基金;

关键词：

Critical point; eigenvalue; inequality; skew-circulant matrix;

D O I：

10.7153/jmi-2023-17-93

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we first prove a relation between the critical points of the skew-circulant matrix and the eigenvalues of its principal matrix. Furthermore, we reprove the inequality about the zeros of a polynomial and its critical points by using the properties of skew-circulant matrix, which is to show that we can not only find the skew-circulant matrix, but also give more structure matrices to prove this inequality.

引用

页码：1427 / 1431

页数：5

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