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
收藏
页码：1427 / 1431
页数：5
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