带有区间不确定性的约束平差算法及应用  

An algorithm with interval uncertain constraint in adjustment model and its application

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, 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410083

出　　处：《测绘科学》2018年第5期100-104,共5页Science of Surveying and Mapping

基　　金：国家自然科学基金项目(41574006;41674009)

摘　　要：针对测量数据中带有区间约束先验信息和附加信息,基于Kuhn-Tucker条件,将测量平差问题转化为二次规划问题,该文提出了一种处理参数带有区间不确定性的新算法,给出了算法具体模型和解算步骤,并且通过模拟数值实验和病态测边网数据计算,分析了在处理病态问题时,最小二乘平差的局限性,通过与岭估计和奇异值分解法的结果相比较,说明了参数带有区间不确定性的平差算法的有效性。Considering the measurement data contains prior information and additional information.Based on Kuhn-Tucker condition used in quadratic programming,this paper propose a new algorithm with interval uncertain,and give its concrete model and solving steps.According to the results of simulated experiment and ill-posed trilateration net data,it shows that the least-squares has limitation when processing morbid problem.Compared with the results of ridge estimation and singular value decomposition（SVD）,it shows that the algorithm with interval uncertain of parameter is effective.

关 键 词：KUHN-TUCKER条件 参数区间不确定性 病态问题 岭估计 奇异值分解 

分 类 号：P258[天文地球—测绘科学与技术]