用固定线性方程组求实数域上亏损矩阵的广义特征矩阵

Computation of Generalized Eigenmatrices of a Defective Matrix in Real Number Field with a Fixed System of Linear Equations

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.