| 求广义特征向量的一种算法 |
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| 引用本文： | 马龙友,刘长河,寿玉亭,代西武,刘世祥. 求广义特征向量的一种算法[J]. 北京建筑工程学院学报, 2003, 19(3): 69-74 |
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| 作者姓名： | 马龙友 刘长河 寿玉亭 代西武 刘世祥 |
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| 作者单位： | 基础部,北京 100044 |
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| 摘 要： | 文章提出了初等相似变换的概念，探讨了如何利用初等相似变换法求一个方阵的Jordan标准形及变换矩阵，进而为求一个方阵的广义特征向量创造了条件。该算法对一些特殊方阵，求它的特征值、各级广义特征向量、Jordan标准形及变换矩阵，比用解方程组方法要简单。
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| 关 键 词： | 初等相似变换 广义特征向量 Jordan标准形 变换矩阵 |
| 文章编号： | 1004-6011(2003)03-0069-06 |
| 修稿时间： | 2003-06-17 |
An algorithm of Finding Extended Eigenvector |
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| Ma Longyou Liu Changhe Shou Yuting Dai Xiwu Liu Shixiang. An algorithm of Finding Extended Eigenvector[J]. Journal of Beijing Institute of Civil Engineering and Architecture, 2003, 19(3): 69-74 |
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| Authors: | Ma Longyou Liu Changhe Shou Yuting Dai Xiwu Liu Shixiang |
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| Abstract: | In this paper, the concept of elementary transformation of similitude is proposed, and the method how to find the Jordan canonical form of a square matrix and its transformation matrix are studied. Thereby, favorable conditions of finding the extended eigenvector of square matrix are created. This algorithm is simplier than the method of using the solution of equations when it is used to find some special matrices' eigenvelue, extended eigenvector, Jordan canonical form and its transformation matrix. |
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| Keywords: | elementary transformation of similitude extended eigenvector Jordan canonical form |
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