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| 求首尾和r-循环矩阵的极小多项式的算法 | |
| 引用本文： | 徐清舟,李慧琼,江兆林.求首尾和r-循环矩阵的极小多项式的算法[J].数学杂志,2005,25(6):599-604. |
| 作者姓名： | 徐清舟 李慧琼 江兆林 |
| 作者单位： | 1. 许昌学院数学系,河南,许昌,461000 2. 长江大学数学系,湖北,荆州,434102 3. 临沂师范学院数学系,山东,临沂,276005 |
| 摘 要： | 研究了域上首尾和r-循环矩阵，利用多项式环的理想的Groebner基的算法给出了任意域上首尾和r-循环矩阵的极小多项式和公共极小多项式的一种算法.同时给出了这类矩阵逆矩阵的一种求法。 |
| 关 键 词： | 首尾和r-循环矩阵 极小多项式 公共极小多项式 逆 Groebner基 |
| 文章编号： | 0255-7797（2005）06-0599-06 |
| 收稿时间： | 2003-01-14 |
| 修稿时间： | 2003-01-142003-09-30 |
AN ALGORITHM FOR FINDING THE MINIMAL POLYNOMIAL OF A FLS r-CIRCULANT MATRIX |
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| XU Qing-zhou,LI Hui-qong,JIANG Zhao-lin.AN ALGORITHM FOR FINDING THE MINIMAL POLYNOMIAL OF A FLS r-CIRCULANT MATRIX[J].Journal of Mathematics,2005,25(6):599-604. | |
| Authors: | XU Qing-zhou LI Hui-qong JIANG Zhao-lin |
| Institution: | Dept. of Math. , Xuchang University ,Xuchang 461000, China; Dept. of Math., Yangtze University, Jingzhou 434102, China; Dept. of Math. , Linyi Teachers College, Linyi 276005, China |
| Abstract: | In this paper,the FLS r-circulant matrix over a field is introduced.Algorithms for computing the minimal polynomial and common minimal polynomial of this kind of matrices over any field are presented by means of the algorithm for the Gr(o)..bner basis of the ideal in the polynomial ring,and an algorithm for finding the inverses of such matrices are also presented. |
| Keywords: | FLS r-circulant matrix minimal polynomial common minimal polynomial inverse Gr(o)bner basis |
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