地壳形变分析的总体最小二乘配置方法

针对地壳形变问题中观测向量和趋势项系数矩阵均含有误差的情况，研究了总体最小二乘配置平差方法，在广义总体最小二乘准则下推导了具体的解算公式和迭代算法。利用模拟的地壳水平形变和2009年意大利L’Aquila实际地震数据进行分析，结果表明，总体最小二乘配置与传统的最小二乘配置方法在地壳形变分析中的效果基本一致，并给出了相关的理论依据。

Analysis of Crust Deformation Based on Total Least Squares Collocation

Both observation vector and coefficient matrix contain errors in the crustal deformation problem, so total least squares collocation (TLSC) is studied. Then, we give the specific formula for determining parameters and the iterative algorithm under the generalized total least squares principle. Simulated horizontal crust deformation and the actual data from 2009 L’Aquila Italy earthquake are analyzed using total least squares collocation and least squares collocation. The experimental results show that the two methods are the same in the analysis of crust deformation, and this is given theoretical support in the article.