| 广义(R,S)-对称矩阵反问题的最小二乘解 |
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| 引用本文： | 宋俊玲,田金亭,赵建立.广义(R,S)-对称矩阵反问题的最小二乘解[J].山东大学学报(理学版),2008,43(2):48-51. |
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| 作者姓名： | 宋俊玲 田金亭 赵建立 |
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| 作者单位： | 聊城大学数学科学学院,山东,聊城,252059 |
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| 摘 要： | 讨论了广义(R,S)-对称矩阵反问题的最小二乘解,得到了解存在的充要条件及通式,并研究了最佳逼近问题,给出了解的具体表达式。
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| 关 键 词： | 广义(R S)-对称矩阵 最小二乘解 最佳逼近 |
| 文章编号： | 1671-9352(2008)02-0048-05 |
| 修稿时间： | 2007年11月6日 |
The least-squares solutions of inverse problems for generalized(R,S)-symmetric matrices |
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| SONG Jun-ling,TIAN Jin-ting,ZHAO Jian-li.The least-squares solutions of inverse problems for generalized(R,S)-symmetric matrices[J].Journal of Shandong University,2008,43(2):48-51. |
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| Authors: | SONG Jun-ling TIAN Jin-ting ZHAO Jian-li |
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| Institution: | School of Mathematics Science, Liaocheng University, Liaocheng 252059, Shandong, China |
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| Abstract: | The least-squares solutions of inverse problems for generalized(R,S)-symmetric matrices were discussed.The necessary and sufficient conditions were presented, and the general form was given.The optimal approximation was discussed, and the precise expression of the solution was provided. |
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| Keywords: | generalized (R S)-symmetric matrices least squares solution the optimal approximation |
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