部分参数有非负约束平差模型的一种新算法  

A New Approach for Adjustment Model with Some Nonnegative Constrained Parameters

作　　者：宋迎春[1] 朱建军[1] 陈正阳[1] 曾联斌[1] 

机构地区：[1]中南大学信息物理工程学院,长沙市麓山南路410083

出　　处：《武汉大学学报（信息科学版）》2007年第10期883-887,共5页Geomatics and Information Science of Wuhan University

基　　金：国家自然科学基金资助项目(40574003);国家教育部博士点专项基金资助项目(20050533057);湖南省自然科学基金资助项目(06JJ5131)

摘　　要：研究了部分参数带有非负约束的平差模型,提出了一种新的处理部分参数附有非负约束的平差方法。该方法是先将非负约束的最小二乘问题转换成凸二次规划问题,然后求其最优解。通过模拟实例说明,此算法可以很好地应用于实际测量中的平差计算。A new algorithm for adjustment model with some nonnegative constrained parameters is suggested. In this algorithm, nonnegative constrained least-square problems are first transformed to convex quadratic programming problems, and then the programming problems are solved for the optimal solutions. The are necessary and sufficient conditions on the solvability for optimization solution are given, consequently the general form of least-squares estimation in adjustment model is given, as well as algorithm that are simple and easy to understand. A comparative calculation on a simulation example indicates that this algorithm can be applied to adjustment computation in the practical measurement.

关 键 词：非负约束 不等式约束 最小二乘估计 平差模型 边坡监测 

分 类 号：P207[天文地球—测绘科学与技术]