| J-中心对称矩阵方程的解及其最佳逼近 |
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| 引用本文： | 孙酉山,王意达,刘仲云.J-中心对称矩阵方程的解及其最佳逼近[J].数学理论与应用,2009(3):28-31. |
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| 作者姓名： | 孙酉山 王意达 刘仲云 |
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| 作者单位： | 长沙理工大学数学与计算科学学院,长沙410004 |
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| 摘 要： | 利用J-中心对称矩阵的结构和约化性质，本文研究了J-中心对称矩阵方程的通解、最小二乘解，然后考虑了方程解集合中对给定矩阵的最佳逼近问题，并给出了唯一最佳逼近解的表达式。
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| 关 键 词： | J-中心对称矩阵 最小二乘解 最佳逼近 |
The Solution and Optimal Approximation of J- Centrosymmetric Matrix Equations |
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| Sun Youshan,Wang Yida,Liu Zhongyun.The Solution and Optimal Approximation of J- Centrosymmetric Matrix Equations[J].Mathematical Theory and Applications,2009(3):28-31. |
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| Authors: | Sun Youshan Wang Yida Liu Zhongyun |
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| Institution: | (School of Math ＆ Computing Science, Changsha University of Science ＆ Technology, Changsha,410004) |
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| Abstract: | By exploiting the structure and reducible property of J - centrosymmetrices, the generic solution and the least - squares solution of J - centrosymmetrices matrix equation are considered in this paper. Also, the problem for the best approximarion in soultion set of matrix equations to a given matrix is also discussed, and the unique best approximatioin is presented. |
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| Keywords: | J- centrosymmetric matrices Least- squares solution Optimal approximation |
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