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《Acta Geodaetica et Cartographica Sinica》 2009-05
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Research on Equality Constraint Inversion with Ill-posed Constraint Matrix

WANG Leyang,XU Caijun,WANG Jianjun School of Geodesy and Geomatics,Wuhan University,Wuhan 430079,China  
With the improvement of observation method and technology in geodesy and geophysics,it is possible to get many kinds of data with high precision and high resolution.Prior information and many kinds of observations are often used in equality constraint inversion.In this thesis,solving method to equality constraint inversion is discussed,the concept and evaluate method of ill-posed character of constraint matrix are given.The influence to the inversion result from constraint matrix ill-posed character is deduced.Through an example,the influence to the inversion result from constraint matrix ill-posed character is discussed.The SVD method is used to solve ill-posed problem of constraint matrix.The problem that inversion result is not stable because of constraint matrix ill-posed character is solved effectively.At last,through some cases of inversion,the methods are discussed,and some conclusions are obtained.
【Fund】: 国家863计划(2009AA12Z317);; 国家自然科学基金(40874003;40721001);; 国家公益地震行业科研专项(200808080)
【CateGory Index】: P207
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