Euler solution selecting method based on the damping factor
Euler solution selecting method based on the damping factor
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DOI：
10.1007/s11600-022-00804-9
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发表时间：
2022
期刊：
影响因子：
2.3
通讯作者：
Li Zelin
中科院分区：
文献类型：
--
作者：
Liu Qiang;Yao Changli;Luo Yao;Yang Junjun;Li Zelin
We present a method, named the variable damping factor selecting method, to select reliable Euler solutions. Our method considers the influence of small perturbations on the movement of Euler solutions as a selection criterion. Small perturbations have little influence on the least-squares solution generated from a stable matrix with large eigenvalues and in the projection area of the source position in the observational data. It is found that the matrix is stable and the solutions are reliable. By using the damped least square method to calculate the Euler solutions, our method can automatically estimate whether a solution can be saved. The saved solution, which is considered to be reliable, is not sensitive to any changes of the damping factor and is usually generated within a sliding window located in the projection area. In our work, the damping factor is chosen from the eigenvalue of the sliding window. Tests on synthetic and real data showed that our method is simple and easy to conduct, and can successfully outline causative bodies and singular point sources.
