| 子矩阵约束下AXB=C的双对称迭代解 |
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| 引用本文： | 周富照,朱丹.子矩阵约束下AXB=C的双对称迭代解[J].长沙交通学院学报,2008,24(1):72-77. |
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| 作者姓名： | 周富照 朱丹 |
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| 作者单位： | 长沙理工大学,数学与计算科学学院,湖南,长沙,410076 |
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| 摘 要： | 构造了求解子矩阵约束下AXB=C的双对称解的迭代解法,利用残量正交的性质证明了算法的有限终止性,并进一步研究了求解子矩阵约束下矩阵方程问题的最佳逼近解,最后,给出了能够体现算法有效性的数值实例.
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| 关 键 词： | 约束矩阵方程 子矩阵约束 双对称矩阵 有限终止性 迭代解法 |
| 文章编号： | 1000-9779(2008)01-0072-05 |
| 修稿时间： | 2007年10月21 |
Iterative solutions of AXB=C with sub-matrix restrains in bi-symmetric matrix set |
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| ZHOU Fu-zhao,ZHU Dan.Iterative solutions of AXB=C with sub-matrix restrains in bi-symmetric matrix set[J].Journal of Changsha Communications University,2008,24(1):72-77. |
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| Authors: | ZHOU Fu-zhao ZHU Dan |
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| Abstract: | An iterative solution of AXB=C with sub-matrix restrains in bi-symmetric matrix set is given.By using the nature of orthogonal,the limited termination of the algorithm is proved.Some further research about best approximation is also involved with similar consideration.Finally,several numerical examples to show the feasibility and accuracy of this method are provided. |
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| Keywords: | constrained matrix equation sub-matrix restrains bi-symmetric matrix limited termination iterative solution |
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