摘要
当前将观测值分成两组求解序贯平差迭代公式的方法缺少说服力,如果直接将观测值分成n组进行平差,则平差过程极其繁琐复杂。从数理统计的角度出发,提出将观测值分成3组并按照矩阵计算的方式进行平差从而类比求出n组情况下的迭代公式,这样求出的迭代公式更合理。利用算例对迭代结果进行了验证,结果表明,使用新方法进行序贯平差与传统整体平差结果一致,对研究多类观测量联合平差的序贯算法具有一定的借鉴意义。
The method of solving sequential adjustment iterative formula divides the observations into 2 groups and is not so convincing.But if observations are divided into n groups,the adjustment process is extremely cumbersome and complex.From the view point of mathematical statistics,this paper proposes an approach of solving the formula by dividing observations into 3 groups and deducing interactive formula according to matrix calculation method,then analogying the iterative formula of n group cases.This method can be more persuasive.The results obtained from the new method of sequential adjustment is verified to be consistent with that of the traditional overall adjustment.It is of some reference significance for researches in sequential generation of many class observation combined adjustment.
作者
黄东锋
姚顽强
史经检
张静
阮青山
HUANG Dongfeng;YAO Wanqiang;SHI Jingjian;ZHANG Jing;RUAN Qingshan(College of Geomatics,Xi＇an University of Science and Technology,Xi＇an 710054,China)
出处
《测绘地理信息》
2018年第4期88-91,共4页
Journal of Geomatics
基金
国家自然科学基金资助项目(41404031)
关键词
序贯平差
归纳法
分组平差
迭代
sequential adjustment
inductive method
adjustment in group
iterative formula
