| Jordan基的结构 |
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| 引用本文： | 刘学质.Jordan基的结构[J].大学数学,2012(1):128-131. |
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| 作者姓名： | 刘学质 |
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| 作者单位： | 重庆教育学院数学系 |
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| 摘 要： | 用构造性方法证明了以同一个特征向量为终端向量的Jordan链从始端向量到终端向量可以有不同的最大长度,并给出了Jordan基中Jordan链的某些性质,进一步完善了Jordan标准形过渡矩阵求法的补充条件.
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| 关 键 词： | 幂零指数 Jordan标准形 Jordan基 过渡矩阵 |
The Structure of Jordan Basis |
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| LIU Xue-zhi.The Structure of Jordan Basis[J].College Mathematics,2012(1):128-131. |
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| Authors: | LIU Xue-zhi |
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| Institution: | LIU Xue-zhi(Dept.of Math.,Chongqing Educational College,Chongqing 400067,China) |
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| Abstract: | We give a constructive proof to form the Jordan chains,which have distinct lengths from all initial vectors to a common eigenvector.We also give some properties of a chain in a Jordan basis.Furthermore,we perfect the complementary conditions to the algorithm for solving transition matrix of Jordan form. |
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| Keywords: | nilpotent index Jordan form Jordan basis transition matrix |
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