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.
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页码：105 / 109
页数：5
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