| 关于方阵A的特征多项式及其逆阵的求法问题 |
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| 引用本文： | 钟宝东,张国政,高齐圣.关于方阵A的特征多项式及其逆阵的求法问题[J].郑州大学学报(工学版),1991(1). |
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| 作者姓名： | 钟宝东 张国政 高齐圣 |
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| 作者单位： | 青岛化工学院，青岛化工学院，青岛化工学院 |
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| 摘 要： | 本文通过解非齐次线性方程组给出了求特征多项式系数的一般方法,从而解决了因含有参数而不易求得特征多项式一般形式的问题。另外.利用哈密顿-凯莱定理,本文还给出了一个逆阵存在的判定定理和求道阵的一个方法.
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| 关 键 词： | 特征多项式 逆矩阵 计算方法 |
On Working--Out of Characteristic Polynomial of Matrix a as Well as its Inverse Matris |
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| Zhong Baodong,Zhang Guozheng,Gao QiSheng Qingdao Insttitute of Chemical Technology.On Working--Out of Characteristic Polynomial of Matrix a as Well as its Inverse Matris[J].Journal of Zhengzhou University: Eng Sci,1991(1). |
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| Authors: | Zhong Baodong Zhang Guozheng Gao QiSheng Qingdao Insttitute of Chemical Technology |
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| Affiliation: | Zhong Baodong;Zhang Guozheng;Gao QiSheng Qingdao Insttitute of Chemical Technology |
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| Abstract: | A common method to work out the coefficient of characteristic polynomial is given by means of an inhomogeneous linear equation system so as to solve the probiem of the common expression whosc characteristic polymomial is diffcult to obtain because of the existence of a variable. In addition, a decision theorem of the existence of the inverse matrix and a method for its determination are given by using the Hamilton-Caylay Theorem. |
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| Keywords: | characteristic polynolial inverse matrix computational method |
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