引用本文: 王乐洋, 许才军. 附有病态约束反演问题的岭估计法[J]. 武汉大学学报 ( 信息科学版), 2011, 36(5): 612-616.
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

• 摘要: 提出了处理附有病态约束矩阵的等式约束反演问题的岭估计解法,推导了相应的求解公式及均方误差评定精度的方法,给出了确定附有病态约束矩阵的等式约束反演中岭参数的岭迹法、广义交叉核实法和L曲线法。算例比较了三种确定岭参数的方法在处理附有病态约束矩阵的等式约束反演问题中的优缺点,并与截断SVD法进行了对比分析。

Abstract: 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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