| 摘要: |
| 通过方阵A的极小多项式h(λ)=(λ-λ1)n1(λ-λ2)n2…(λ-λs)ns的指数来定义可变系数向量V(m),并构成A的固定矩阵D.利用固定矩阵D,将计算亏损矩阵的幂级数公式Am=PJmP-1改进为Am=V(m)D-1(E,A,…,Aw-1)T,免去求若当链及P-1的步骤. |
| 关键词: 亏损矩阵 幂级数 若当链 固定矩阵 |
| DOI： |
| 投稿时间：2003-04-16修订日期：2003-07-14 |
| 基金项目: |
|
| The Sum Of the Defective Matrix Power Series by the Regular Matrix |
|
Li Dalin
|
| (Dept. for Basic Courses, Liuzhou Vocational & Tech Coll, Liuzhou, Guangxi, 545006, China) |
| Abstract: |
| Define the transformable entries vector V(m) on the basis of index of the minimal polynomial h(λ)=(λ-λ1) n1 (λ -λ2) n2 … (λ -λs) ns,and make up the regular matrix D The classics formula Am=PJm P-1 is improved to Am=V(m) D-1 (E,A,…,Aw-1)T. Accordingly,the calculation of the Jordan chains and P-1 can be avoided. |
| Key words: defective matrix power series Jordan chain regular matrix |
