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极小多项式在矩阵求逆中的应用
引用本文:殷云星,赵清.极小多项式在矩阵求逆中的应用[J].科学技术与工程,2009,9(5).
作者姓名:殷云星  赵清
作者单位:1. 华北电力大学数理系,保定,071003
2. 河北大学中医系,保定,071000
摘    要:借助于矩阵逆的定义,讨论了矩阵的逆与其幂之间的关系,并给出了一种利用极小多项式求逆的方法.

关 键 词:矩阵的逆  矩阵多项式  极小多项式

Applications of Minimal Polynomial in Matrices Calculation
YIN Yun-xing,ZHAO Qing.Applications of Minimal Polynomial in Matrices Calculation[J].Science Technology and Engineering,2009,9(5).
Authors:YIN Yun-xing  ZHAO Qing
Institution:Department of Mathematics and physics;North China Electric power University;Baoding 071000;P.R.China;Department of Traditional Chinese Medice;Hebei University1;P.R.China
Abstract:Based on define of matrix inverse,the relation between inverse of matrix and exponent of matrix is discussed. And a way is given to calculate the inverse of matrix with minimal polynomial.
Keywords:inverse of matrix matrix polynomial minimal polynomial  
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