| 矩阵方程AXB-CXD=R的多项式解法 |
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| 引用本文： | 盛兴平.矩阵方程AXB-CXD=R的多项式解法[J].阜阳师范学院学报(自然科学版),2011,28(1):1-4. |
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| 作者姓名： | 盛兴平 |
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| 作者单位： | 阜阳师范学院数学与计算科学学院; |
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| 基金项目： | 安徽省自然科学基金(10040606Q47); 安徽高等学校省级自然科学研究重点项目(KJ2010A253) |
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| 摘 要： | 将利用线性变化,构造一多项式,从而将矩阵方程AXB-CXD=R转化为一容易求解的方程,并给出了矩阵方程AXB-CXD=R有唯一解时的显示表达式X=-(Ck+1)-1Sk(R)E-1或X=F-1Sk(R)(Bk+1)-1,所得到的结果推广了有关文献的相关结论.
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| 关 键 词： | 矩阵方程 线性变化 多项式 |
Solution of matrix equation AXB - CXD = R with polynomial transformation |
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| SHENG Xing-ping.Solution of matrix equation AXB - CXD = R with polynomial transformation[J].Journal of Fuyang Teachers College:Natural Science,2011,28(1):1-4. |
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| Authors: | SHENG Xing-ping |
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| Institution: | SHENG Xing-ping (1.School of Mathematics and Computational Science,Fuyang Teachers College,Fuyang Anhui,236032,China) |
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| Abstract: | Using the linear transformations to construct a polynomial,we change the matrix AXB-CXD=R into a new matrix equation,which could be soluted in easy.When the matrix equation AXB-CXD = R has a unique solution,we can give the unique solution X=-(Ck+1)-1Sk(R)E-1or X=F-1Sk(R)(Bk+1)-1 These results develop that in some papers. |
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| Keywords: | matrix equation linear transformation polynomial |
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