| 不相容矩阵方程AXB=D的反中心对称迭代解 |
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| 引用本文： | 方玲,李玻,付诗禄,林琼.不相容矩阵方程AXB=D的反中心对称迭代解[J].后勤工程学院学报,2010,26(4):86-91. |
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| 作者姓名： | 方玲 李玻 付诗禄 林琼 |
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| 作者单位： | 后勤工程学院基础部,重庆,401311 |
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| 摘 要： | 研究了不相容矩阵方程AXB=D的反中心对称最佳逼近解，基于经典共轭梯度法思想，构造了求解这一问题的迭代算法，证明了该算法的有限终止性并给出了该方法的误差估计，最后利用具体的数值例子验证了算法的有效可行性。
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| 关 键 词： | 反中心对称矩阵 最小二乘解 最小范数解 迭代法 |
Iterative Solutions of the Inconsistent Matrix Equation AXB=D in Anti-centrosymmetric Matrix Set |
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| FANG Ling,LI Bo,FU Shi-lu,LIN Qiong.Iterative Solutions of the Inconsistent Matrix Equation AXB=D in Anti-centrosymmetric Matrix Set[J].Journal of Logistical Engineering University,2010,26(4):86-91. |
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| Authors: | FANG Ling LI Bo FU Shi-lu LIN Qiong |
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| Institution: | ( Dept. of Foundation Studies, LEU, Chongqing 401311, China ) |
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| Abstract: | An iteration method based On the idea of the classical CG method for the matrix equation AXB = D is constructed in this paper. By this method, the best approximation solution of AXB = D in anti-centrosymmetric matrix set is given. The limited ter- mination of the algorithm is proved. Then an error bound is given. Finally, numerical examples to show the feasibility and accuracy of this method are reported. |
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| Keywords: | anti-centrosymmetric matrix least-squares solution least-norm solution iteration method |
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