| 矩阵Jordan标准形的计算 |
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| 引用本文： | 魏兵.矩阵Jordan标准形的计算[J].山东师范大学学报(自然科学版),1993,8(1):21-24. |
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| 作者姓名： | 魏兵 |
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| 作者单位： | 中国矿业大学数学系 徐州 |
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| 摘 要： | 本文据线性空间的两个直和分解定理,介绍了线性变换、线性空间基底的选择与Jordan标准形之间的关系。由此得到四个推论,可以作为计算Jordan标准形的依据.本文最后还介绍了Jordan标准形在证明Hamilton—cayley定理中的应用.
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| 关 键 词： | 根子空间 矩阵 约当标准形 |
CALCULUS OF JORDAN CANONICAL MATRIX |
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| Wei Bing Mining University of China,Xuzhou,Jiangsu Province,PRC.CALCULUS OF JORDAN CANONICAL MATRIX[J].Journal of Shandong Normal University(Natural Science),1993,8(1):21-24. |
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| Authors: | Wei Bing Mining University of China Xuzhou Jiangsu Province PRC |
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| Institution: | Wei Bing Mining University of China,221008,Xuzhou,Jiangsu Province,PRC |
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| Abstract: | According to the basic theorems of decomposition linear space into diret sum, the relation among linear transformation and base choicing linear space and Jordan Canonical matrix are introdued. Four corollaries are given. We may take them for calculus of Jordan Canonical matrix. Finally, the application of Jordan Cononical matrix in proving Hamilton Cayley Theorem is introduced. |
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| Keywords: | radical subspace nilpotent transformation algebraic multiplicity geometric multiplicity minimum polynomial |
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