| 附有病态约束反演问题的岭估计法 |
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| 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(5):612-616. |
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| 作者姓名： | 王乐洋 许才军 |
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| 作者单位： | 武汉大学测绘学院;东华理工大学测绘工程学院; |
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| 基金项目： | 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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| 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。
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| 关 键 词： | 等式约束反演 病态约束矩阵 岭迹法 广义交叉核实法 L曲线法 岭估计法 |
Ridge Estimation Method in Inversion Problem with Ill-posed Constraint |
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| WANG Leyang, XU Caijun.Ridge Estimation Method in Inversion Problem with Ill-posed Constraint[J].Geomatics and Information Science of Wuhan University,2011(5):612-616. |
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| Authors: | WANG Leyang XU Caijun |
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| Institution: | WANG Leyang1,2 XU Caijun1(1 School of Geodesy and Geomatics,Wuhan University,129 Luoyu Road,Wuhan 430079,China)(2 Faculty of Geomatics,East China Institute of Technology,56 Xuefu Road,Fuzhou 344000,China) |
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| 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... |
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| Keywords: | equality constraint inversion ill-posed constraint matrix the ridge mark method generalized cross-validation L-curve method ridge estimation method |
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