矩阵多项式可逆的判断及求法  

On Criterion and Calculation of Invertibility of Matrix Polynomials

作　　者：许娟 王颖 XU Juan;WANG Ying(School of Mathematics and Statistics,Linyi University,Linyi 276000,China)

机构地区：[1]临沂大学数学与统计学院,山东临沂276000

出　　处：《高等数学研究》2023年第1期7-8,20,共3页Studies in College Mathematics

基　　金：临沂大学博士科研启动基金(LYDX2016BS080)。

摘　　要：本文利用多项式的性质给出了判断一类矩阵多项式可逆的充要条件以及求其逆矩阵的方法,并举例说明之.In this paper, we give the necessary and sufficient conditions for the invertibility of matrix polynomials, and the method for finding their inverses by using the properties of polynomials.We also present some examples accordingly.

关 键 词：多项式 矩阵多项式 可逆 

分 类 号：O171[理学—数学]