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《Journal of Changsha Communications University》 2008-02
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Unified model and ill-posed property of numerical iterative formula for solving nonlinear least squares problem

TANG Li-min1,2,ZHU Jian-jun2(1.School of Traffic and Transportation Engineering,Changsha University of Science & Technology,Changsha 410076,China;2.College of Info-Physics and Geomatics Engineering,Central South University,Changsha 410083,China)  
All kinds of numerical iterative methods for solving nonlinear least squares problems that widely exists in inverse calculation of pavement modulus and surveying adjustment fields were summarized,a unified model of numerical iterative formula for solving nonlinear least squares problems was proposed.According to ill-posed problem theory,combined with nonlinear least squares problems,two ill-posed properties of nonlinear least squares problems were defined.The phenomenon of the two ill-posed properties was analysis,and some examples were given.The results show that it needs to consider the ill-posed problem in iterative process when all kinds of numerical iterative methods for NLS problems are used.
【CateGory Index】: U412.24
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