METHOD FOR DETERMINING FIRST-ORDERPARTIALDERIVATIVE OF NONLINEAR MODEL AND ITS APPLICATION IN TLS ACCURACY ASSESSMENT
Kong Jian;Yao Yibin ; and Huang Chengmeng
School of Geodesy and Geomatics of Wuhan University, Wuhan 430079
Abstract On the basis of the total leastsquares(TLS) data processing theory and an iterative algorithm for TLS, firstorder partial derivative of the nonlinear model was determined by using Taylor formula and the error magnitude of the results was derivated. The method was applied to the TLS precision evaluation, and the method for reliability testing is proposed. The experimental results verify the feasibility of the method in TLS precision evaluation.
Key words :
Total LeastSquares(TLS)
Taylor formula
firstorder partial derivative
reliability testing
iterative algorithm
Received: 01 January 1900
Corresponding Authors:
Kong Jian
Cite this article:
Kong Jian,Yao Yibin,and Huang Chengmeng. METHOD FOR DETERMINING FIRST-ORDERPARTIALDERIVATIVE OF NONLINEAR MODEL AND ITS APPLICATION IN TLS ACCURACY ASSESSMENT[J]. , 2011, 31(3): 110-114.
Kong Jian,Yao Yibin,and Huang Chengmeng. METHOD FOR DETERMINING FIRST-ORDERPARTIALDERIVATIVE OF NONLINEAR MODEL AND ITS APPLICATION IN TLS ACCURACY ASSESSMENT[J]. jgg, 2011, 31(3): 110-114.
URL:
http://www.jgg09.com/EN/ OR http://www.jgg09.com/EN/Y2011/V31/I3/110
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