| 矩阵方程AXA^T=B的对称反自反最小二乘解 |
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| 引用本文： | 赵琳琳,陈果良,赵建立.矩阵方程AXA^T=B的对称反自反最小二乘解[J].山东大学学报(自然科学版),2010(10):1-3. |
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| 作者姓名： | 赵琳琳 陈果良 赵建立 |
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| 作者单位： | [1]华东师范大学数学系,上海200241 [2]聊城大学数学科学学院,山东聊城252059 |
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| 基金项目： | 国家自然科学基金资助项目（10901056;11071079）;上海市自然科学基金资助项目（09ZR1408700） |
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| 摘 要： | 给定对称正交矩阵P，利用矩阵的标准相关分解，研究了矩阵方程AXA^T=B的对称反自反最小二乘解，得到了最小二乘解的一般表达式。
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| 关 键 词： | 矩阵方程 最小二乘解 标准相关分解 |
Least squares symmetric anti-reflexive solutions of the matrix equation AXA^T=B |
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| ZHAO Lin-lin,CHEN Guo-liang,ZHAO Jian-li.Least squares symmetric anti-reflexive solutions of the matrix equation AXA^T=B[J].Journal of Shandong University(Natural Science Edition),2010(10):1-3. |
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| Authors: | ZHAO Lin-lin CHEN Guo-liang ZHAO Jian-li |
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| Institution: | 1. Department of Mathematics, East China Normal University, Shanghai 200241, China; 2. College of Mathematics Science, Liaocheng University, Liaocheng 252059, Shandong, China) |
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| Abstract: | By applying the canonical correlation decomposition of matrix pairs, the general expression of the least squares symmetric anti-reflexive solution with a given symmetric orthogonal matrix P of the matrix equation AXA^T=B is obtained. |
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| Keywords: | matrix equation least squares solution canonical correlation decomposition |
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