| 矩阵特征多项式的一种简单算法 |
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| 引用本文： | 郑大钟. 矩阵特征多项式的一种简单算法[J]. 清华大学学报(自然科学版), 1985, 0(2) |
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| 作者姓名： | 郑大钟 |
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| 作者单位： | 清华大学自动化系 |
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| 摘 要： | 本文提供了计算矩阵的特征多项式的一种简单算法。本算法首先将矩阵通过简单的行和列变换化为Ｈｅｓｓｅｎｂｅｒｇ形，然后采用一组公式和递推算法，来计算矩阵的特征多项式。本算法在计算上是简单、直观的，同时适用于采用计算机计算或手工计算。
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| 关 键 词： | 矩阵 特征多项式 算法 |
A Simple Algorithm on the Characteristic Polynomial of a Square Matrix |
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| Zheng Dazhong. A Simple Algorithm on the Characteristic Polynomial of a Square Matrix[J]. Journal of Tsinghua University(Science and Technology), 1985, 0(2) |
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| Authors: | Zheng Dazhong |
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| Affiliation: | Zheng Dazhong,Department of Automation |
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| Abstract: | This paper gives a simple algorithm for the computation of the characteristic polynomial of a square matrix. In the given algorithm, a matrix is first transformed into its Hessenberg form by using row- and column-transformation and the characteristic polynomial can be then determined by means of the formulas and a recursive algorithm given in this paper. This algorithm is simple in computation and suitable for computation by hand or by using a computer. |
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| Keywords: | matrix characteristic polynomial algorithm. |
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