| n阶方阵高次幂的计算方法 |
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| 引用本文： | 余跃玉.n阶方阵高次幂的计算方法[J].达县师范高等专科学校学报,2011,21(2):22-24. |
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| 作者姓名： | 余跃玉 |
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| 作者单位： | 四川文理学院数学与财经系,四川达州,635000 |
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| 摘 要： | 从相似对角化入手，给出了矩阵高次幂的一般求法，运用多项式理论，给出了降次的求法，最后针对一些特殊矩阵给出了一些特殊的、巧妙的求幂方法．
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| 关 键 词： | n阶方阵 幂 Hamilton-Cayley 定理 特征多项式 最小多项式 |
On the Calculation of the Higher Power of Rank n Square |
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| YU Yue-yu.On the Calculation of the Higher Power of Rank n Square[J].Journal of Daxian Teachers College,2011,21(2):22-24. |
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| Authors: | YU Yue-yu |
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| Institution: | YU Yue-yu(Math and Finance Department of Sichuan University of Arts and Science,Dazhou Sichuan 635000,China) |
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| Abstract: | In this paper,a general solution to high power of matrix is provided from the similar opposite corners,then the polynomial theory is used to find solutions to the reducing power and last some special and clever methods to the powers of some special matrix are discussed. |
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| Keywords: | Hamilton-Cayley |
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