参数带区间约束的子空间截断牛顿平差算法  

Subspace Truncation Newton Method for Parameter-Bounded Adjustment Problem

作　　者：夏玉国 宋迎春[1,2] 谢雪梅[1,3] XIA Yuguo;SONG Yingchun;XIE Xuemei(School of Geoscience and Info-Physics,Central South University,932 South-Lushan Road,Changsha 410083,China;Key Laboratory of Metallogenic Prediction of Nonferrous Metals and Geological Environment Monitoring,Ministry of Education,Central South University,932 South-Lushan Road,Changsha 410083,China;School of Civil Engineering,Central South University of Forestry and Technology,498 South-Shaoshan Road,Changsha 410004,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 [2]中南大学有色金属成矿预测与地质环境监测教育部重点实验室,长沙市麓山南路932号410083 [3]中南林业科技大学土木工程学院,长沙市韶山南路498号410004

出　　处：《大地测量与地球动力学》2019年第2期184-188,共5页Journal of Geodesy and Geodynamics

基　　金：国家自然科学基金(41674009;41574006)~~

摘　　要：基于积极集思想,利用子空间截断牛顿法提出参数带区间约束的平差问题算法。由于新算法可以迅速改变积极约束集的构成,其效率比不等式约束平差算法更高,并且可以对参数估计的精度进行评定。通过测边网算例说明,新算法能有效地降低模型的不适定性,保持参数的统计、几何或物理意义。In the process of measuring data processing,the application of reliable prior information can effectively reduce the discomfort of the adjustment model.Based on active set thought,in this paper,using the truncated Newton method,we propose a new algorithm to solve the parameter-bounded adjustment problem.Our algorithm is more efficient than the inequality constraint,with its capacity to change the composition of the active set rapidly,and the precise evaluation of parameter value is given at the same time.Examples are given to show that the algorithm can effectively reduce the unfitness of the model and can maintain the statistical,geometric or physical significance of the parameters.

关 键 词：区间约束 平差模型 子空间截断牛顿法 病态问题 精度评定 

分 类 号：P207[天文地球—测绘科学与技术]