Results on the Schur stability of the Hadamard powers and the Hadamard product of complex polynomials

被引：0

作者：

Gora, Michal ^{[1
]}

机构：

[1] AGH Univ Sci & Technol, Fac Appl Math, Al Mickiewicza 30, PL-30059 Krakow, Poland

来源：

LINEAR & MULTILINEAR ALGEBRA | 2022年 / 70卷 / 06期

关键词：

Shmuel Friedland; Hadamard product; Szego product; Schur stable polynomials;

D O I：

10.1080/03081087.2020.1751035

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

For a complex polynomial and for a rational number p, we consider the Schur stability problem of the pth Hadamard power of f We show that there exist two numbers such that is Schur stable for every and is not Schur stable for (or vice versa, depending on f). Also, we give simple sufficient conditions for the Schur stability of the Hadamard product of two complex polynomials. Numerical examples complete and illustrate the results.

引用

页码：1047 / 1054

页数：8

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