Prime decomposition of quadratic matrix polynomials

被引：0

作者：

Tian, Yunbo ^{[1
]}

Chen, Sheng ^{[2
]}

机构：

[1] Linyi Univ, Sch Math & Stat, Linyi 276000, Shandong, Peoples R China

[2] Harbin Inst Technol, Dept Math, Harbin 150001, Peoples R China

来源：

AIMS MATHEMATICS | 2021年 / 6卷 / 09期

关键词：

differential equation; matrix polynomials; factorization; matrix equation; matrix pencil; explicit solution;

D O I：

10.3934/math.2021576

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study the prime decomposition of a quadratic monic matrix polynomial. From the prime decomposition of a quadratic matrix polynomial, we obtain a formula of the general solution to the corresponding second-order differential equation. For a quadratic matrix polynomial with pairwise commuting coefficients, we get a sufficient condition for the existence of a prime decomposition.

引用

页码：9911 / 9918

页数：8

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