| 矩阵方程AX=B的反对称正交对称解及其最佳逼近 |
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| 引用本文： | 张宗标.矩阵方程AX=B的反对称正交对称解及其最佳逼近[J].广西民族学院学报(自然科学版),2013(4):48-51,54. |
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| 作者姓名： | 张宗标 |
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| 作者单位： | 亳州师范高等专科学校理化系,安徽亳州236800 |
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| 基金项目： | 中央财政支持专业（数学教育）;安徽省教育厅自然科学基金（KJ2013Z217,KJ2013Z218）;安徽省教学科学研究项目（2012JYXM595）;亳州师专重点课程项目（高等数学）. |
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| 摘 要： | 讨论了矩阵方程AX=B有反对称正交对称解的充要条件以及解的表达式,并得到了其最佳逼近解,最后给出了它的数值算法和算例.
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| 关 键 词： | 反对称正交对称 最佳逼近 正交不变性 |
The Anti-symmetric Ortho-symmetric Solutions and its Optimal Approximation of Matrix Equation AX=B |
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| ZHANG Zong-biao.The Anti-symmetric Ortho-symmetric Solutions and its Optimal Approximation of Matrix Equation AX=B[J].Journal of Guangxi University For Nationalities(Natural Science Edition),2013(4):48-51,54. |
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| Authors: | ZHANG Zong-biao |
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| Institution: | ZHANG Zong-biao ( Bozhou Teachers College, Bozhou 236800,China) |
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| Abstract: | This paper gives the necessary and sufficient conditions for the anti-symmetric ortho-sym- metric solutions of linear matrix equation AX =B , and gives the general form of the solutions, together with the optimal approximate solution. Finally gives an algorithm and a numerical example. |
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| Keywords: | anti-symmetric ortho-symmetric optimal approximation orthogonal invariance |
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