| 病态模型平差的变分正则化方法 |
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| 引用本文： | 李家权,张菊清.病态模型平差的变分正则化方法[J].地球科学与环境学报,1994(4). |
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| 作者姓名： | 李家权 张菊清 |
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| 作者单位： | 西安地质学院测量工程系 710054
(李家权)，西安地质学院测量工程系 710054(张菊清) |
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| 摘 要： | 本文对病态模型平差问题进行研究,指出由于模型病态将引起平差结果的摄动,而根据Тихонов的变分正则化理论可构造出一种抗摄动的平差方法.文章通过理论分析和计算实验证明,只要合理的选择正则化参数α,就可使平差结果的均方误差比传统的最小二乘估计小,从而改善平差结果的精度.
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| 关 键 词： | 病态模型 摄动 正则化 |
THE VARIATION-REGULARIZITION METHOD FOR ILL-CONDITIONED MODEL ADJUSTMENT |
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| Li Jiaquan Zhang Juqing.THE VARIATION-REGULARIZITION METHOD FOR ILL-CONDITIONED MODEL ADJUSTMENT[J].Journal of Earth Sciences and Environment,1994(4). |
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| Authors: | Li Jiaquan Zhang Juqing |
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| Institution: | Xi'an College of Geology |
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| Abstract: | This paper studies the problem of ill-conditioned model adjustment. The article expounds the adjustment result perturbations caused by the model ill-codition and a method of resisting-perturbation is put forward according to the TnXOHOH'S thery of variation regularization. Both theoretic analysis and computation experiments indicate that the mean square error of this adjustment method can be reduced less than that of the traditional least aquare estimate, thus improving its accuracy, only when a reasonable regularization parameter a is chosen. |
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| Keywords: | Ill-conditioned model Perturbation Regularization |
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