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中文摘要：
给出四类可用于重力场解算的正则化矩阵（零次、一次、二次和Kaula）,以及用于确定正则化参数的L曲线法和GCV方法的数学模型。基于SA方法,利用模拟数据分析讨论了零次、一次以及Kaula正则化矩阵应用于GOCE全球重力场模型确定的有效性,并由Kaula正则化矩阵分析L曲线法和GCV方法确定正则化参数的可行性。数值结果表明三类正则化矩阵获得的最优解（以大地水准面MSE最小为准则确定）的精度水平相近,关键在于相应正则化参数的确定,数值结果同时说明了GCV方法和L曲线法可用于确定正则化参数,且前者较后者具有更好的稳定性。
英文摘要：
The Tikhonov regularization is widely applied in the geodesy,the principle of which is discussed in this paper,including the mathematical models of four types of regularization matrices（zero-order,first-order,second-order and Kaula）and the regularization parameter selection methods：L-curve and GCV.The validation of zero-order,first-order and Kaula regularization matrices applied in the gravity field determination with GOCE simulated data is analyzed based on the SA method.And the applicability of L-curve and GCV is also discussed using the simulated data.The results show that the accuracies of the optimized solutions（selected by minimizing geoid MSE）with the three types of regularization matrices are at the same level.The key point is the selection of the corresponding regularization parameter.The results also show that GCV and L-curve can be applied in the regularization parameter estimation,and the former method is more stable than the latter one.
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