| 大地测量反演模型优化问题的研究 |
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| 引用本文： | 党亚民,陈俊勇,晁定波.大地测量反演模型优化问题的研究[J].大地测量与地球动力学,1998(2). |
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| 作者姓名： | 党亚民 陈俊勇 晁定波 |
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| 作者单位： | 中国测绘科学研究院(党亚民)，国家测绘局(陈俊勇)，武汉测绘科技大学(晁定波) |
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| 摘 要： | 在大地测量反演中，由于观测数据的不足或由于对模型空间了解的匮乏，总会出现病态问题，因此在进行反演解算之前对反演模型空间进行优化是很有必要的。利用矩阵扰动的理论研究了大地测量反演中的病态问题，并提出了模型优化的两种方法。
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| 关 键 词： | 模型优化 矩阵扰动 反演 自然范数 |
STUDY ON MODEL OPTIMIZATION FOR GEODETIC INVERSION |
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| Dang Yamin.STUDY ON MODEL OPTIMIZATION FOR GEODETIC INVERSION[J].Journal of Geodesy and Geodynamics,1998(2). |
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| Authors: | Dang Yamin |
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| Abstract: | The inverse problem in geodesy is not always a well posed problem because of the insufficiencies of observations or the lack of knowledge about the investigated system,the ill-conditioned problem is investigated based on the matrix perturbation theory.Model optimization is also carried out in this paper.Two optimization methods which can be used in practice are proposed.The first method,called re parametrization,improves the solution by excluding those parameters which caused the problem being ill conditioned,the second method improves the solution by introducing constrains on the parameters. |
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| Keywords: | model optimization matrix perturbation inversion natural norm |
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