| 采用联合平差法处理附有病态等式约束的反演问题 |
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| 引用本文： | 马洋,欧吉坤,袁运斌,王海涛.采用联合平差法处理附有病态等式约束的反演问题[J].武汉大学学报(信息科学版),2011(7):816-819. |
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| 作者姓名： | 马洋 欧吉坤 袁运斌 王海涛 |
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| 作者单位： | 中国科学院测量与地球物理研究所动力大地测量学重点实验室;中国科学院研究生院; |
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| 基金项目： | 国家自然科学基金资助项目(40874009,41074013,40890160,41004005); 国家杰出青年科学基金资助项目(40625013) |
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| 摘 要： | 探讨了附有病态等式约束的反演问题,尝试用降秩处理方法解这类病态约束问题,通过算例验证了此种方法与截断奇异值方法是等价的。然后提出了一种联合平差方法,它不仅能解病态的约束问题,而且能解决主模型秩亏或病态同时约束模型病态的问题,增强了应用性。最后设计了多种方案进行计算和比较,验证了联合平差法的有效性和可行性。
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| 关 键 词： | 等式约束反演 病态性 降秩处理 联合平差法 |
Solving Equality Constraint Inversion with Ill-posed Constraint Matrix Using United Method |
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| MA Yang, OU Jikun YUAN Yunbin WANG Haitao.Solving Equality Constraint Inversion with Ill-posed Constraint Matrix Using United Method[J].Geomatics and Information Science of Wuhan University,2011(7):816-819. |
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| Authors: | MA Yang OU Jikun YUAN Yunbin WANG Haitao |
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| Institution: | MA Yang1,2 OU Jikun1 YUAN Yunbin1 WANG Haitao1(1 Institute of Geodesy and Geophysics,Chinese Academy of Sciences,340 Xudong Road,Wuhan 430077,China)(2 Graduate University of Chinese Academy of Sciences,A19 Yuquan Road,Beijing 100049,China) |
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| Abstract: | Solving method to equality constraint inversion with ill-posed constraint matrix is discussed,and rank-reducing processing method,which is proved equivalent to truncated singular value decomposition method(SVD),is proposed to solve this kind of problem.Further more,a united adjustment method with enhanced usability is also put forward,which can not only solve inversion with ill-posed constraint matrix,but also solve problems with master model ill-conditioned or rank-deficient when constraint model is ill-co... |
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| Keywords: | equality constraint inversion ill-posed character rank-reducing processing united adjustment method |
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