概括平差模型的通用解法

A universal solution for generalized adjustment model

鉴于概括平差模型的参数系数矩阵可能为非列满秩的情况,本文从概括平差模型实质出发提出一种以解方程组为基础的通用解法,该方法显著的特点是无论系数矩阵是否为列满秩均可求解。最后用具体实例计算与分析,结果表明,该方法不仅思路简单、通用性强,而且也为进一步认识概括平差模型的实质提供了新思路。

Given that the coefficient matrix of generalized adjustment model is possibly insufficient column rank, this paper proposed a universal solution for solving equations based on the essence of generalization adjustment model. The remarkable characteristic of this method is its applicability for full column rank or not. Finally, the case study shows that the universal solution is not only simple and practical but also significant for recognizing the essence of generalization adjustment model.