| 子域上矩阵方程的解法及其应用 |
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| 引用本文： | 李桂荣.子域上矩阵方程的解法及其应用[J].德州学院学报,2009,25(2):1-3. |
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| 作者姓名： | 李桂荣 |
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| 作者单位： | 德州学院数学系,山东德州,253023 |
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| 摘 要： | 研究实数域的任一子域上的矩阵方程的求解问题．给出了它的相容条件及相容方程的解法，给出了它在矩阵分解理论与多项式理论上的应用．
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| 关 键 词： | 相容 不变因子 最小多项式 特征多项式 伴侣阵 |
Solutions and Applications of Matrix Equation in the Subfield |
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| LI Gui-rong.Solutions and Applications of Matrix Equation in the Subfield[J].Journal of Dezhou University,2009,25(2):1-3. |
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| Authors: | LI Gui-rong |
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| Institution: | Department of Mathematics;Dezhou University;Dezhou Shandong 253023;China |
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| Abstract: | Solving problem of Matrix equation is studied in the arbitrary subfield of real number field.We obtained its consistency condition and consistency equation's solutions,and some applications in the resolution theory of Matrix and the polynomial theory are also given in this paper. |
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| Keywords: | consistence invariant divisor least polynomial characteristic polynomial adjoint Matrix |
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