参数带椭球约束平差算法的应用  

Application of Parameters with Ellipsoidal Constraints in Adjustment Algorithm

作　　者：肖兆兵 宋迎春[1] 谢雪梅[1] XIAO Zhaobing;SONG Yingchun;XIE Xuemei(School of Geosciences and Info-Physics,Central South University,932 South-Lushan Road,Changsha 410083,China)

机构地区：[1]中南大学地球科学与信息物理学院,长沙市麓山南路932号410083

出　　处：《大地测量与地球动力学》2018年第9期964-967,985,共5页Journal of Geodesy and Geodynamics

基　　金：国家自然科学基金(41574006;41674009)~~

摘　　要：针对实际工程应用中遇到的参数带有范围约束的情形,提出带椭球约束的平差算法,并给出其具体模型和解算步骤。数值模拟实验和病态测边网数据计算表明,在处理病态问题时,最小二乘平差(leastsquares,LS)已不适用,而与岭估计、奇异值分解法(singular value decomposition,SVD)以及不等式约束相比,本文算法精度更高。This paper is aimed at parameters in the actual engineering application with territorial constraints,and proposes a new adjustment algorithm with ellipsoidal constraints,whose concrete model and solving steps are given.Results of simulated experimental data and morbid trilateration net data,show that the least-squares is not suitable for processing morbid problems.Compared with the results of ridge estimation,singular value decomposition(SVD)and inequality constraints,we show that the algorithm with ellipsoidal constraints of parameter has higher precision.

关 键 词：先验信息 病态问题 椭球约束 岭估计 奇异值分解 

分 类 号：P207[天文地球—测绘科学与技术]