| 线性约束下广义中心对称矩阵扩充及其最佳逼近 |
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| 引用本文： | 张华珍.线性约束下广义中心对称矩阵扩充及其最佳逼近[J].荆门职业技术学院学报,2010,25(5):39-43. |
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| 作者姓名： | 张华珍 |
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| 作者单位： | 湘西民族职业技术学院基础课部; |
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| 摘 要： | 文章讨论子矩阵约束下‖AX-Z‖2＋‖YHA-WH‖2=min的广义中心对称解及其最佳逼近,给出了解存在的充要条件及通解的表达式,并且给出了解集合中与给定矩阵的最佳逼近。
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| 关 键 词： | 广义中心对称矩阵 商奇异值分解 最佳逼近 |
Generalized Centrosymmetric Matrices Extension and Its Optimal Approximation Under the Linear Constraint |
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| ZHANG Hua-zhen.Generalized Centrosymmetric Matrices Extension and Its Optimal Approximation Under the Linear Constraint[J].Journal of Jingmen Vocational Technical College,2010,25(5):39-43. |
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| Authors: | ZHANG Hua-zhen |
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| Institution: | National Vocational and Technical College in Xiangxi;Jishou;Hunan;416000;China |
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| Abstract: | This paper considers the solutions of inverse problem for Generalized Centrosymmetric matrices with a submatrix constraint and its Optimal Approximation.The necessary and sufficient conditions for the existence and the expression of the general solutions are given.Moreover,in the solution set of correspending problem,the expression of the optimal approximation solution to given matrix is derived. |
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| Keywords: | Generalized Centrosymmetric matrices QSVD the optimal approximation |
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