| 广义特征向量的广义线性相关性 |
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| 引用本文： | 李大林.广义特征向量的广义线性相关性[J].柳州职业技术学院学报,2010,10(4):39-41. |
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| 作者姓名： | 李大林 |
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| 作者单位： | 柳州职业技术学院公共基础部,广西柳州545006 |
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| 基金项目： | 广西高校优秀人才资助项目 |
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| 摘 要： | 研究复数域上亏损矩阵的广义特征向量。根据广义特征子空间链,提出广义特征向量组的广义线性相关与广义线性无关的概念,用以刻画若当链的计算复杂性。
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| 关 键 词： | 若当标准形 广义特征向量 若当链 线性相关 |
On Generalized Linear Dependence of Generalized Eigenvectors |
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| LI Da-lin.On Generalized Linear Dependence of Generalized Eigenvectors[J].Journal of Liuzhou Vocational & Technical College,2010,10(4):39-41. |
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| Authors: | LI Da-lin |
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| Institution: | LI Da-lin(Dept.of Basic Courses,Liuzhou Vocational Institute of Technology,Liuzhou 545006,China) |
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| Abstract: | In this paper we study the generalized eigenvectors for a defective complex matrix.We give the concepts of generalized linear dependence and generalized linear independence for a set of generalized eigenvectors by the chain of generalized Eigen spaces.With these concepts,we can express the complexity of computation of Jordan chains easily. |
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| Keywords: | Jordan canonical form generalized eigenvector Jordan chain linear dependence |
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