| 矩阵方程AX-XB=C,AA~-A=A解的讨论 |
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| 引用本文： | 徐龙华.矩阵方程AX-XB=C,AA~-A=A解的讨论[J].河南科学,2012,30(5):539-541. |
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| 作者姓名： | 徐龙华 |
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| 作者单位： | 安康学院数学系,陕西安康,725000 |
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| 基金项目： | 国家自然科学基金，安康学院教改资助项目，安康学院科技创新资助项目 |
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| 摘 要： | 通过线性方程组解的情况,推广到矩阵方程AX-XB=C有解的充要条件以及广义逆矩阵在矩阵方程中的应用.在矩阵方程里引入了广义逆矩阵,通过广义逆矩阵给出了某类矩阵方程的性质和结论.
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| 关 键 词： | 矩阵方程 方程的解 广义逆矩阵 |
Solution of Matrix Equation AX-XB=C,AA-A=A |
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| Xu Longhua.Solution of Matrix Equation AX-XB=C,AA-A=A[J].Henan Science,2012,30(5):539-541. |
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| Authors: | Xu Longhua |
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| Institution: | Xu Longhua(Department of Mathematics,Ankang University,Ankang 725000,Shaanxi China) |
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| Abstract: | The paper gives the solution necessary and sufficient condition of the matrix equation AX-XB=C,as well as the generalized inverse matrix in the matrix equation application.The matrix equation introduces the generalized inverse matrix,it gives some kind of matrix equation nature and conclusion through the generalized inverse matrix. |
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| Keywords: | matrix equation solution of equation inverse matrix |
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