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《Science of Surveying and Mapping》 2008-06
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The analysis of ill-posed problems in deformation analysis and predictions models

TANG Li-min,ZHU Jian-jun,DAI Shui-cai,WANG Qian-xin(School of Info-Physics and Geomatics Engineering of Central South University,Changsha 410083,China)  
Firstly,theoretical analysis and numerical simulation of ill-posed problem have been done for linear regression analysis,time series analysis model and gray system model in deformation analysis and forecasting model.Then,by imposing interference noise on deformation observational data,the numerical expression relation between every three model parameters and the noise interference is derived based on least square principle.Finally,The paper points out that if one use any of the three models for modeling analysis to explain the deformation and deformation forecast,it is required to inspect the information matrix A=XTX no matter it is ill-posed or not,and to reduce ill-condition of A=XTX with effective method before using these three models.
【Fund】: 湖南省科技计划项目(编号:2008SK3054)
【CateGory Index】: TU196.1
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