Regularization Analysis of Integral Iteration Method and the Choice of Its Optimal Step-Length

详细信息   

• 责任者：Zeng Xiaoniu (Research Institute of High Technology ; Xi’an 710025 ; China) ; Li Xihai
• 刊名：Chinese Journal of Geophysics
• 出版年：2011
• 卷期：54(11)
• 关键词：地球物理勘探 ; geophysical exploration ; 迭代法 ; iterative methods ; 位场 ; potential field ; 波场延拓 ; wavefield continuation
• 页码：p.2943-2950
• 图表：7 illus., 22 refs.
• 分类号：1600
• issnNo：ISSN0001-5733
• isbnNo：CN11-2074/P

摘要

Based on Kirscht’s regularizing filter theory, the regularizing filter of integral iteration method is deduced and then, the method is proved to be a regularization method for ill-posed problem in inverse problem of potential field downward continuation. The optimal iteration step-length choice of integral iteration method is put forward for solving its slow convergence speed problem which is derived from its fixed iteration step- length. The result shows that the integral iteration method’s convergence speed numbers are reduced effectively by becomes faster and its continuation the optimal step-length and the precision becomes more accurate.