导线网间接平差算法分析与实现

Analysis and realization of algorithm in traverse network indirect adjustment

本文基于间接平差模型,定义了导线网平差程序设计中数据格式,分析了近似坐标自动概算、误差方程构建以及法方程生成3个关键问题,给出了构建法方程的两种方法:基于误差方程系数矩阵B、常数项矩阵L及权阵P的间接法与逐观测值法化的直接法。结合定义的数据格式,设计了近似坐标自动概算与法方程生成的程序实现算法,用实例验证了算法的正确性及可行性,并对两种方法在计算中所耗费的计算资源进行了分析。

Based of indirect adjustment model, data format for traverse network adjustment program ming was designed in the paper, and three key problems including the automatic calculation of approxi mate coordinates, the structure of error observation equation and the generation of normal equation were analyzed. Two ways of generating normal equation were introduced, one is indirect method on base of coef ficient matrix B, constant matrix L, and weighing matrix P, and the other is direct method. Combined with the data format designed, the algorithm for the programming was put forward then. Finally the ex perimental result showed the feasibility of the algorithm, meanwhile the consuming calculation was given.