Prime decomposition of quadratic matrix polynomials

Prime decomposition of quadratic matrix polynomials

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 coeff...

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Bibliographic Details
Main Authors: Yunbo Tian, Sheng Chen
Format: Article
Language:English
Published: AIMS Press 2021-07-01
Series:AIMS Mathematics
Subjects:
differential equation
matrix polynomials
factorization
matrix equation
matrix pencil
explicit solution
Online Access:https://aimspress.com/article/doi/10.3934/math.2021576?viewType=HTML

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https://aimspress.com/article/doi/10.3934/math.2021576?viewType=HTML

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