| 矩阵扰动分析及其在大地测量反演误差分析中的应用 |
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| 引用本文： | 党亚民.矩阵扰动分析及其在大地测量反演误差分析中的应用[J].大地测量与地球动力学,1997(4). |
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| 作者姓名： | 党亚民 |
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| 作者单位： | 中国测绘科学研究院 |
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| 摘 要： | 介绍了矩阵扰动分析的基本理论和方法。提出了利用矩阵的条件数作为大地测量反演误差分析的一个指标，并结合实例论述了利用矩阵的条件数判断反演问题病态特征的方法。指出：在大地测量反演中，可以通过矩阵扰动分析的理论来研究大地测量反演解的特征，从而对反演结果给出恰当的评价。
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| 关 键 词： | 矩阵范数 扰动 反演 条件数 |
MATRIX PERTURBATION ANALYSIS AND ITS APPLICATION TO ERROR ANALYSIS OF GEODETIC INVERSION |
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| Dang Yamin.MATRIX PERTURBATION ANALYSIS AND ITS APPLICATION TO ERROR ANALYSIS OF GEODETIC INVERSION[J].Journal of Geodesy and Geodynamics,1997(4). |
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| Authors: | Dang Yamin |
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| Abstract: | The fundamental theory and approach of matrix perturbation analysis are described in this paper. It is advanced that the condition number can be used as an index of error analysis of geodetic inversion. The condition number can also be used to judge the ill-poesd problem in geodetic inversion. Using the perturbation theory, the solution characteristic can be investigated and the inversion solution can be evaluated efficiently in geodetic inversion. |
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| Keywords: | matrix norm perturbation inversion condition number |
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