| 广义中心对称矩阵反问题的最小二乘解 |
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| 引用本文： | 肖庆丰,胡锡炎.广义中心对称矩阵反问题的最小二乘解[J].数学的实践与认识,2010,40(16). |
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| 作者姓名： | 肖庆丰 胡锡炎 |
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| 基金项目： | 国家自然科学基金，高校博士学科点专项科研基金，东莞职业技术学院科研基金 |
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| 摘 要： | 讨论了广义中心对称矩阵反问题的最小二乘解,得到了解的一般表达式,并就该问题的特殊情形:矩阵反问题,得到了可解的充分必要条件及解的通式.此外,证明了最佳逼近问题解的存在惟一性,并给出了其解的具体表达式.
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| 关 键 词： | 广义中心对称矩阵 最小二乘解 最佳逼近 |
The Least-squares Solutions of Inverse Problems for Generalized Centro-Symmetric Matrices |
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| XIAO Qing-feng,HU Xi-yan.The Least-squares Solutions of Inverse Problems for Generalized Centro-Symmetric Matrices[J].Mathematics in Practice and Theory,2010,40(16). |
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| Authors: | XIAO Qing-feng HU Xi-yan |
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| Abstract: | The least-squares solutions of inverse problems of generalized centro-symmetric matrices is discussed,and the general expression of the solution is obtained.Moreover,for the special cases of the least-squares problems,the necessary and sufficient conditions for the solvability are given.The optimal approximation solution for generalized Centro-symmetric matrices is given. |
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| Keywords: | generalized Centro-symmetric matrix least-squares solution optimal approximation |
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