A note on Hermitian positive semidefinite matrix polynomials

被引：2

作者：

Friedland, S. ^{[1
]}

Melman, A. ^{[2
]}

机构：

[1] Univ Illinois, Dept Math Stat & Comp Sci, Chicago, IL 60607 USA

[2] Santa Clara Univ, Dept Appl Math, Santa Clara, CA 95053 USA

来源：

LINEAR ALGEBRA AND ITS APPLICATIONS | 2020年 / 598卷

关键词：

Hermitian positive definite; Matrix polynomial; Positive coefficients;

D O I：

10.1016/j.laa.2020.03.038

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove that the determinant of a matrix polynomial with Hermitian positive definite (semidefinite) coefficients is a polynomial with positive (nonnegative) coefficients. (C) 2020 Elsevier Inc. All rights reserved.

引用

页码：105 / 109

页数：5

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