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。
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.
出处
《地壳形变与地震》
CSCD
1998年第2期35-40,共6页
Crustal Deformation and Earthquake
关键词
大地测量
反演模型
最佳化
自然范数
model optimization,matrix perturbation,inversion,natural norm.
