WANG Leyang, XU Caijun. Ridge Estimation Method in Inversion Problem with Ill-posed Constraint[J]. Geomatics and Information Science of Wuhan University, 2011, 36(5): 612-616.
Citation: WANG Leyang, XU Caijun. Ridge Estimation Method in Inversion Problem with Ill-posed Constraint[J]. Geomatics and Information Science of Wuhan University, 2011, 36(5): 612-616.

Ridge Estimation Method in Inversion Problem with Ill-posed Constraint

Funds: 国家863计划资助项目(2009AA12Z317);国家自然科学基金资助项目(40721001,40874003,40974017,41074007);国家公益地震行业科研专项基金资助项目(200808080);国家教育部博士点专项基金资助项目(20090141110055)
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  • Received Date: March 14, 2011
  • Published Date: May 04, 2011
  • The method of ridge estimation to treat equality constraint inversion(ECI) with ill-posed constraint matrix is put forward.The solution equation and evaluating precision by mean square error are deduced.For the case that the ridge parameter is difficult to determine in ridge estimation to treat ECI with ill-posed constraint matrix,the L-curve method,generalized cross-validation(GCV) and the ridge mark method are introduced and given.Through some cases of inversion,the comparisons are carried out among the L-curve method,GCV and the ridge mark method,and some conclusions are obtained.
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