| Hermite广义Hamilton矩阵反问题的最小二乘解 |
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| 引用本文： | 钱爱林,柳学坤. Hermite广义Hamilton矩阵反问题的最小二乘解[J]. 数学杂志, 2006, 26(5): 519-523 |
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| 作者姓名： | 钱爱林 柳学坤 |
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| 作者单位： | 咸宁学院数学系,湖北,咸宁,437005 |
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| 摘 要： | 本文研究了Hermite广义Hamilton矩阵反问题的最小二乘解,利用矩阵的奇异值分解,得到了解的表达式用Hermite广义Hamilton矩阵构造给定定矩阵的最佳逼近问题有解的条件.
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| 关 键 词： | Hermite广义Hamilton矩阵 矩阵范数 最佳逼近 |
| 文章编号： | 0255-7797（2006）05-0519-05 |
| 收稿时间： | 2004-02-08 |
| 修稿时间： | 2004-02-082005-02-24 |
LEAST-SQUARE SOLUTIONS OF INVERSE PROBLEM FOR HERMITE AND GENERALIZED SKEW-HAMILTON MATRICES |
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| QIAN Ai-lin,LIU Xue-kun. LEAST-SQUARE SOLUTIONS OF INVERSE PROBLEM FOR HERMITE AND GENERALIZED SKEW-HAMILTON MATRICES[J]. Journal of Mathematics, 2006, 26(5): 519-523 |
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| Authors: | QIAN Ai-lin LIU Xue-kun |
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| Affiliation: | Dept. of Math. , Xianning College, X ianning 437005, China |
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| Abstract: | In this paper the least-square solutions of the inverse problem of Hermite and generalized skew-Hamilton matrices are discussed.By using singular value decomposition,the expression of the solutions is obtained.In addition,we provide the necessary and sufficient conditions about the problem of using Hermite and generalized skew-Hamilton to construct the optimal approximation to a give matrix. |
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| Keywords: | Hermite and generalized skew-Hamilton matrices matrix norm optimal approximation |
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