| 矩阵乘幂的秩及其指标的性质 |
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| 引用本文： | 刘德钦. 矩阵乘幂的秩及其指标的性质[J]. 南京理工大学学报(自然科学版), 1992, 0(2) |
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| 作者姓名： | 刘德钦 |
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| 作者单位： | 华东工学院应用数学系 |
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| 摘 要： | 该文给出了用初等因子求矩阵乘幂的秩及其指标的简捷方法,由此提出了矩阵乘幂的秩谱及其分界秩的概念,并初步讨论了这一秩谱的基本性质,进而又给出了已知矩阵的乘幂的秩求矩阵的初等因子及其矩阵的方法。
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| 关 键 词： | 秩 矩阵乘幂 指标 矩阵乘幂的秩谱 幂零阵 |
The Quality for Rand and Index of Matrix Power. |
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| Liu Dechin. The Quality for Rand and Index of Matrix Power.[J]. Journal of Nanjing University of Science and Technology(Nature Science), 1992, 0(2) |
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| Authors: | Liu Dechin |
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| Affiliation: | Liu Dechin Department of Applied Mathematics |
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| Abstract: | In this paper, a simple way is given to find the rank of matrixpower and its index by elementary divisor. The paper gives the idea of randspectrum of matrix power and its dividing rank, and then discusses the ele-mentary quality of rank spectrum. The inverse problem is also discussed. |
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| Keywords: | rank matrix power index rank sepctrum of matrix power nilpotent matrix |
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