节点文献
子域上矩阵方程的解法及其应用
Solutions and Applications of Matrix Equation in the Subfield
【摘要】 研究实数域的任一子域上的矩阵方程的求解问题[1].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.
【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.
【关键词】 相容;
不变因子;
最小多项式;
特征多项式;
伴侣阵;
【Key words】 consistence; invariant divisor; least polynomial; characteristic polynomial; adjoint Matrix;
【Key words】 consistence; invariant divisor; least polynomial; characteristic polynomial; adjoint Matrix;
- 【文献出处】 德州学院学报 ,Journal of Dezhou University , 编辑部邮箱 ,2009年02期
- 【分类号】O151.21
- 【下载频次】72