| 特殊方阵高次幂的简单求法 |
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| 引用本文： | 姜海勤. 特殊方阵高次幂的简单求法[J]. 扬州职业大学学报, 2003, 7(3): 43-45 |
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| 作者姓名： | 姜海勤 |
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| 作者单位： | 扬州职业大学,江苏,扬州,225002 |
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| 摘 要： | 根据可对角化方阵的特征，给出求可对角化方阵高次幂的思想方法，并且给出主角线元素完全相等的三角矩阵求高次幂的二项式展开法。对秩为1的方阵和可分成特殊子块的方阵的高次幂给出了一般的求解公式。
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| 关 键 词： | 方阵的高次幂 特征值 三角矩阵 秩 子块 |
| 文章编号： | 1008-3693(2003)03-0043-03 |
| 修稿时间： | 2003-04-28 |
The Simple Methods for Solving the High-order Exponent of Special Matrix |
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| JIANG Hai|qin. The Simple Methods for Solving the High-order Exponent of Special Matrix[J]. Journal of Yangzhou Polytechnic College, 2003, 7(3): 43-45 |
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| Authors: | JIANG Hai|qin |
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| Abstract: | In the light of the features of diagonalization matrix, the method for solving its high|order exponents is offered in the present paper. And it also comes up with the binomial expansion method for the triangular matrix with completely equal principal diagonal element. Finally it presents the general solving formula for both the matrix with rank equaling 1 and the matrix that can be divided into special submatrixs. |
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