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《Engineering of Surveying and Mapping》 2008-01
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The application of simulated annealing algorithm to adjust control network

DENG Xing-sheng1,2,WANG Xin-zhou1,2,3(1.School of Geodesy and Geomatics,Wuhan University,Wuhan 430079,China;2.Research Center for Hazard Monitoring and Prevention,Wuhan University,Wuhan 430079,China;3.School of Geo-Information Science and Engineering,Shandong University of Science and Technology,Qingdao 266510,China)  
The linear least square estimation(LLSE) method will bring model error in the process of linear approximating to a nonlinear function.Some of the nonlinear parameter estimation methods will be difficult to compute the derivative as the function is too complex.It is difficult to solve the equation if the coefficient matrix is a rank defect one.The astringency of some nonlinear iteration methods badly depend on the choice of initial value.In order to search for the solution for above issues,the simulated annealing algorithm(SAA) is introduced in this paper.The fundamental,computation steps and the astringency of the algorithm are described.Three examples of SAA in control network adjustment show the superiorities of the SAA,such as no need to compute the derivative or inverse matrix;simple and easy to program for use;global optimisation;high computation precision and so on.
【Fund】: 国家自然科学基金资助项目(40474003);; 山东省泰山学者建设工程专项经费资助项目(TSXZ0502)
【CateGory Index】: P207
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