Polynomials Whose Zeros Are Powers of a Given Polynomial's Zeros

被引：0

作者：

Melman, Aaron ^{[1
]}

机构：

[1] Santa Clara Univ, Sch Engn, Dept Appl Math, Santa Clara, CA 95053 USA

来源：

AMERICAN MATHEMATICAL MONTHLY | 2022年 / 129卷 / 03期

关键词：

Primary; 30C15; Secondary; 12D05;

D O I：

10.1080/00029890.2022.2011568

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We describe a straightforward method to obtain a polynomial whose zeros are integer powers of the zeros of a given polynomial. The method uses linear algebra concepts, namely, companion matrices of both scalar and matrix polynomials, and is illustrated by applications.

引用

页码：276 / 280

页数：5

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