摘要
根据特征多项式,实数域上亏损矩阵的广义特征矩阵可用固定线性方程组求,但这个固定线性方程组的未知量个数多于方程个数,从广义若当链中选取部分等式补充到线性方程组,可使广义特征矩阵唯一确定。
In this paper, we compute generalized eigenmatrices of a defective matrix in real number field with a fixed system of linear equations by characteristic polynomial. But the number of unknowns is above the number of the equations in this system of linear equations. We select some equalities in Jordan chains to supplement to the fixed system of linear equations to get the uniqueness of the generalized eigenmatri-ces.
出处
《柳州职业技术学院学报》
2014年第5期53-57,共5页
Journal of Liuzhou Vocational & Technical College
基金
广西教育厅科研项目(201106LX751)
关键词
特征多项式
亏损矩阵
广义特征矩阵
实数域
若当标准型
characteristic polynomial
defective matrix
generalized eigenmatrix
real number field
Jordan canonical form