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附有限制条件的间接平差秩亏时解法初探
引用本文:秦永宽,黄声享,张书毕.附有限制条件的间接平差秩亏时解法初探[J].海洋测绘,2009,29(1):7-9.
作者姓名:秦永宽  黄声享  张书毕
作者单位:1. 武汉大学,测绘学院,湖北,武汉,430079
2. 中国矿业大学,环境与测绘学院,江苏,徐州,221008
摘    要:在附有限制条件的间接平差的应用中,若所列观测方程中实际用到的未知参数的个数少于所选参数的总数u时,就会出现法方程系数阵秩亏的问题。为了解决此问题,在理论公式推导的基础上,给出了一种新的解决方法,并结合算例进行了验证。

关 键 词:测量平差  附有限制条件的间接平差  秩亏

The New Solution of Rank-defective Indirect Adjustment with Constraints
QIN Yong-kuan,HUANG Sheng-xiang,ZHANG Shu-bi.The New Solution of Rank-defective Indirect Adjustment with Constraints[J].Hydrographic Surveying and Charting,2009,29(1):7-9.
Authors:QIN Yong-kuan  HUANG Sheng-xiang  ZHANG Shu-bi
Institution:1.School of Geodesy and Geomatic;Wuhan University;Wuhan;Hubei;430079;2.School of Environment and Spatial Informatics;China University of Mining and Technology;Xuzhou;Jiangsu;221008
Abstract:In the application of indirect adjustment of observations with condition equations,while the number of parameters used in the observation equations is less than the total number of choiced parameters,the coefficient matrix of normal equation will be rank defect.Therefore,we give a new method to resolve this problem in the basic of theoretical approach with formula,and validated with an example.
Keywords:survey adjustment  indirect adjustment of observations with condition equations  rank defect  
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