关于一类矩阵方程的求解研究  

On Solving a Class of Matrix Equations

作　　者：曹静[1] 

机构地区：[1]常熟理工学院,江苏常熟215500

出　　处：《徐州工程学院学报（自然科学版）》2010年第4期21-25,共5页Journal of Xuzhou Institute of Technology(Natural Sciences Edition)

基　　金：国家自然科学基金资助项目(10671027)

摘　　要：在复数域上对一类特殊矩阵方程的解进行讨论.主要从矩阵A的结构这一角度进行分类,对A可对角化和不可对角化的情况分别讨论,再对矩阵A有0特征值的情况作特殊处理,最后给出了求这一特殊矩阵方程解的一般方法.The solutions to a class of special matrix equations in complex field was discussed.Classification was made as to the structure of matrix A,and the circumstances in which A is diagonalizable and not diagonalizable was discussed.Special treatment was made to the case when there exists 0 eigenvalue with matrix A.At last,a general method of solving this special class of matrix equations was given.

关 键 词：N阶方阵 矩阵的对角化 特征值 若尔当标准形 

分 类 号：O151.21[理学—数学]