| Hermite广义Hamilton矩阵反问题解存在的条件 |
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| 引用本文： | 戴华.Hermite广义Hamilton矩阵反问题解存在的条件[J].江苏大学学报(自然科学版),2004,25(1):40-43. |
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| 作者姓名： | 戴华 |
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| 作者单位： | 南京航空航天大学理学院,江苏,南京,210016 |
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| 基金项目： | 国家自然科学基金资助项目(10271055) |
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| 摘 要： | 研究了Hermite广义Hamilton矩阵反问题及其最佳逼近问题，分析了Hermite广义Hamilton矩阵的性质和结构，给出了Hermite广义Hamilton矩阵反问题有解的充分必要条件，并在有解的情况下，给出了通解的表达式以及最佳逼近问题解的表示．
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| 关 键 词： | Hamilton矩阵 反问题 最佳逼近 |
| 文章编号： | 1671-7775(2004)01-0040-04 |
| 修稿时间： | 2003年7月8日 |
Solvable conditions for inverse problems of Hermitian generalized Hamiltonian matrices |
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| DAI,Hua.Solvable conditions for inverse problems of Hermitian generalized Hamiltonian matrices[J].Journal of Jiangsu University:Natural Science Edition,2004,25(1):40-43. |
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| Authors: | DAI Hua |
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| Abstract: | An inverse problem of Hermitian generalized Hamiltonian matrices and its optimal approximation problem are considered. The properties and structures of Hermitian generalized Hamiltonian matrices are analyzed. Some sufficient and necessary conditions for the existence of the solutions are obtained. A general representation of solution is derived for a solvable case and an expression of the solution for the optimal approximation problem is given. |
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| Keywords: | Hamiltonian matrices inverse problem optimal approximation |
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