| 广义特征向量与约旦(Jordan)形矩阵 |
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| 引用本文： | 张星之. 广义特征向量与约旦(Jordan)形矩阵[J]. 江汉大学学报(人文科学版), 1995, 0(3) |
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| 作者姓名： | 张星之 |
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| 摘 要： | 本文在文[1]的基础上,进一步给出了关于广义特征向量的几个重要结果,从而对于任意的n阶复数矩阵A,都可以得到n个线性无关的特征向量或广义特征向量,使之为列,构成满秩矩阵P,使P~(-1)AP=J,即A与约旦形矩阵J相似。
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| 关 键 词： | 广义特征向量 相似 约旦形矩阵 |
Generalized Eigenvectors and Jordan Matrix |
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| Zhang Xingzhi. Generalized Eigenvectors and Jordan Matrix[J]. Journal of Wuhan Institute of Education, 1995, 0(3) |
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| Authors: | Zhang Xingzhi |
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| Affiliation: | Zhang Xingzhi |
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| Abstract: | On the basis of[1], this Paper further gives and expounds sevaral important results about generalized eigenvector. Thus n eigenvectors or generalized eigenvectors which are linear independence can be obtained from any nxn complex matrix, and a full rank matrix P can be formed with the n vectors. Taking P-1AP=J, matrix A is similar to Jordan matrix J. |
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| Keywords: | generalized eigenvector similar Jordan matrix |
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