Application of Iterative Tikhonov Regularization Based on GCV in Surveying and Mapping
Abstract Since the quality of the solution of the Tikhonov regularization(TR) method is too dependent on the determination of the regularization parameters and less stable when solving ill-conditioned problems in the field of geodesy by TR method, an improved iterated Tikhonov regularization (ITR), combined with generalized cross-validation(GCV), can effectively overcome the above shortcomings.The calculation example results show that the ITR-GCV method is better in terms of solution accuracy, stability, and anti-interference.
Key words :
ill-conditioned problems
TR
ITR
GCV
Cite this article:
DENG Wei,SONG Yingchun,XIE Xuemei. Application of Iterative Tikhonov Regularization Based on GCV in Surveying and Mapping[J]. jgg, 2023, 43(6): 587-592.
DENG Wei,SONG Yingchun,XIE Xuemei. Application of Iterative Tikhonov Regularization Based on GCV in Surveying and Mapping[J]. jgg, 2023, 43(6): 587-592.
URL:
http://www.jgg09.com/EN/ OR http://www.jgg09.com/EN/Y2023/V43/I6/587
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