一种高效计算LS-VCE的方法  

An Efficient Computation Method for LS-VCE

作　　者：赵俊 杨高锋 张亚军 ZHAO Jun;YANG Gaofeng;ZHANG Yajun(Key Laboratory of Smart Earth,Xi′an 710054,Chian;Xi′an Division of Surveying and Mapping,Xi′an 710054,China;State Key Laboratory of Geodesy and Geodynamics,Wuhan 430077,China)

机构地区：[1]智慧地球重点实验室,陕西西安710054 [2]西安测绘总站,陕西西安710054 [3]大地测量与地球动力学国家重点实验室,湖北武汉430077

出　　处：《测绘与空间地理信息》2024年第2期14-16,20,共4页Geomatics & Spatial Information Technology

基　　金：大地测量与地球动力学国家重点实验室开放基金(SKLGED2022-1-2)资助。

摘　　要：在最小二乘方差分量估计(Least-squares variance component estimation, LS-VCE)计算公式的基础上,利用Helmert方差分量估计计算迭代终止条件——各个方差分量估值相等,导出了一种高效计算LS-VCE的公式,并设计了相应的迭代算法。GNSS向量网算例分析结果表明,本文设计的快速方法在计算效率上比原方法提高50%左右,在大规模计算方面具有显著应用价值。On the basis of Least-squares variance component estimation(LS-VCE)calculation formula,the Helmert variance compo-nent estimation is used to calculate the iteration termination condition-the estimation of each variance component is equal.An effi-cient formula for calculating LS-VCE is derived,and corresponding iterative algorithms are designed.The analysis results of GNSS vector network examples show that the fast method designed in this paper improves computational efficiency by about 50%compared to the original method,and has significant application value in large-scale computing.

关 键 词：方差分量估计 LS-VCE HELMERT GNSS向量网 

分 类 号：P208[天文地球—地图制图学与地理信息工程]