广义逆平差理论及其应用——为中国测绘科学研究院五十华诞而作

本文从广义逆矩阵基础知识出发,利用测量误差基本方程的特点,建立一套测量平差数学模型。用这套模型答解测量平差问题,作者将其称为广义逆平差法。此法与最小二乘平差法比较,其推导过程更简单、直观、易懂。文中讨论了各种平差方法的相互关系,给出了各种平差方法的统一模式,指出具有待估参数的平差方法,选择不同的参数近似值对平差结果产生不可忽视的影响,文中算例作了补充说明。

Adjustment theory and application of generalized inverse matrix

From the basic knowledge of generalized inverse matrix,a mathematic model of adjustment of observations is established based on the basic equation and characteristic of measurement error.The new theory is called the adjustment of generalized inverse matrix,which is used to solve the problems of measurement adjustment.Compared to the method of least squares,the process is more simple and understandable.The paper discuss the relationship of different adjustment,present the universal model of different adjustm...