Applying regularization to solve the ill-conditioned normal equations in geopotential problems
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Keywords

chính quy hóa
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thế trọng trường trái đất regularization
ill-conditioned
geopotential

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How to Cite

Luong, B. B. (2023). Applying regularization to solve the ill-conditioned normal equations in geopotential problems. Journal of Geodesy and Cartography, (58), 1–9. https://doi.org/10.54491/jgac.2023.58.703

Abstract

Regularization, a way to stabilize the solution of normal equations, is an important issue when solving ill-conditioned systems that often occur in geodetic computations. In this paper, some regularization solutions such as GBE, L-curve, Quasi-solution, Discrepancy Principle, GCV, and Quasi-optimality will be introduced and investigated in the context of the problem of processing geopotentila data. The experimental results show the effectiveness of regularization when reducing the output error from 1.55 m (without regularization) to 0.05 m, equivalent to the input error level

https://doi.org/10.54491/jgac.2023.58.703
PDF (Tiếng Việt) | Download: 74

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