大地测量与地球动力学2017，Vol.37Issue(12)：1281-1284,1290,5.DOI:10.14075/j.jgg.2017.12.016
多元加权总体最小二乘新解法
The New Algorithm for Multivariate Weighted Total Least Squares
摘要
Abstract
The new model of multivariate weighted total least squares by transposition processing,which is similar to the weighted total least squares model,is proposed in this paper.The formula for constructing the new coefficient matrix and its variance-covariance matrix is deduced and the solution flow multivariate weighted total least squares is studied.Applying this method,the solution process by the Jazaeri algorithm is deduced.The proposed method is proven to be effective and feasible through example analysis and comparison with other algorithms.关键词
多元加权总体最小二乘/EIV模型/参数估计/迭代算法Key words
multivariate total least squares/EIV model/parameter estimation/iteration algorithm分类
天文与地球科学引用本文复制引用
汪奇生..多元加权总体最小二乘新解法[J].大地测量与地球动力学,2017,37(12):1281-1284,1290,5.基金项目
湖南省自然科学基金(2017JJ5035) （2017JJ5035）
湖南省教育厅科研项目(15C0741).Natural Science Foundation of Hunan Province,No.2017JJ5035 （15C0741）
Scientific Research Project of the Education Department of Hunan Province.No.15C0741. （）
