The Regularization Method Based on Complex Collinearity Diagnostics and Metrics

Chao Zhong Ma; Yong Wei Gu; Ji Fu; Yuan Lu Du; Qing Ming Gui

doi:10.4028/www.scientific.net/AMM.416-417.1393

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HomeApplied Mechanics and MaterialsApplied Mechanics and Materials Vols. 416-417The Regularization Method Based on Complex...

The Regularization Method Based on Complex Collinearity Diagnostics and Metrics

Abstract:

In a large number of measurement data processing, the ill-posed problem is widespread. For such problems, this paper introduces the solution of ill-posed problem of the unity of expression and Tikhonov regularization method, and then to re-collinearity diagnostics and metrics based on proposed based on complex collinearity diagnostics and the metric regularization method is given regularization matrix selection methods and regularization parameter determination formulas. Finally, it uses a simulation example to verify the effectiveness of the method.

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Periodical:

Applied Mechanics and Materials (Volumes 416-417)

Pages:

1393-1398

DOI:

https://doi.org/10.4028/www.scientific.net/AMM.416-417.1393

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Online since:

September 2013

Authors:

Chao Zhong Ma, Yong Wei Gu, Ji Fu, Yuan Lu Du, Qing Ming Gui

Keywords:

Complex Matrices of Linear, Ill-Posed Problem, Regularization Matrix, Regularization Method, Regularization Parameter

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References

[1] Tikhonov & Arsenin. Solution of Ill-posed Problems [M]. Washington: Winston & Sons. (1977).

Google Scholar

[2] SURVEYING. Surveying Adjustment ill-posed problems in a unified solution of expression and the right to elect Fitting [J] . Surveying and Mapping [J]. 2004, 33 (4) : 283-288.

Google Scholar

[3] Shen cloud, Hsu H ill-posed equations regularization algorithm for spectral decomposition [J]. Geodesy and Geodynamics, 2002, 22 (3): 10-14.

Google Scholar

[4] Wang Hongyu stochastic mathematical signal processing [M]. Beijing: Science Press, . (1988).

Google Scholar

[5] Zeng Qun meaning SURVEYING. Using genetic algorithms to solve ill equation [J]. Geodesy and Geodynamics, 2003, 23 (3): 93-97.

Google Scholar

[6] Hansen P C. Analysis of Discrete Ill-posed problems by means of the L-curve [J]. SIAM Review, 1992, 34 (4) : 561-580.

DOI: 10.1137/1034115

Google Scholar

[7] Hansen PC, O 'Leary D P. The use of the L-curve in the regularization of discrete Ill-posed problems [J]. SIAMJ. Sci. Comput., 1993, 14 (6) : 1487-1503.

DOI: 10.1137/0914086

Google Scholar

[8] Golub GH, Heath M, Wahba G. Generalized cross-validation as a method for choosing a good ridge paramete [J] r. Technometrics, 1979, 21 (2) : 215-223.

DOI: 10.1080/00401706.1979.10489751

Google Scholar

[9] Xi Yang, Xu Tianhe. Comprehensive information on the prior model and observational information posteriori adaptive regularization method [A]. Proceedings of Geodesy and Geodynamics Progress [C] . (2004).

Google Scholar

[10] C hen, X. R., W ang, S. G. Advanced Regression Analysis [M]. Anhui E d ucation Publishing House: Hefei, (1987).

Google Scholar