| Hermite广义反Hamilton矩阵反问题的最小二乘解 |
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| 引用本文： | 钱爱林,吴又胜. Hermite广义反Hamilton矩阵反问题的最小二乘解[J]. 兰州理工大学学报, 2005, 31(4): 138-140 |
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| 作者姓名： | 钱爱林 吴又胜 |
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| 作者单位： | 咸宁学院,数学系,湖北,咸宁,437005;兰州大学,数学系,甘肃,兰州,730000;咸宁学院,数学系,湖北,咸宁,437005 |
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| 摘 要： | 讨论了Hermite广义反Hamilton矩阵反问题的最小二乘解，得到了解的具体表达式．并讨论了用Hemlite广义反Hamilton矩阵构造给定矩阵的最佳逼近问题，给出了该问题有解的充要条件和解的表达式。
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| 关 键 词： | Hermite广义反Hamilton矩阵 矩阵范数 最佳逼近 |
| 文章编号： | 1000-5889(2005)04-0138-03 |
| 收稿时间： | 2004-10-08 |
| 修稿时间： | 2004-10-08 |
Least-square solutions of inverse problem for Hermitian and generalized skew-Hamilton Matrices |
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| QIAN Ai-lin,WU You-sheng. Least-square solutions of inverse problem for Hermitian and generalized skew-Hamilton Matrices[J]. Journal of Lanzhou University of Technology, 2005, 31(4): 138-140 |
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| Authors: | QIAN Ai-lin WU You-sheng |
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| Abstract: | The least-square solutions of the inverse problem of Hermite and generalized skew-Hamilton matrices is discussed, and an expression of the solution is obtained. In addition, a problem of using Hermite and generalized skew-Hamilton matrices to construct the optimalapproximation to a given matrix is discussed, the necessary and sufficient conditions for this problem are derived, and the expression of the solution is given. |
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| Keywords: | Hermite and generalized skew-Hamilton matrices matrix norm optimal approximation |
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