非线性函数空间平差方程的解法及其特征

Solutions and Traits of Adjustment Equations in Space of Nonlinear Functions

非线性函数空间的测量数据处理问题是测量数据处理理论研究中的前沿课题之一。其宗旨是不对非线性函数作线性化处理而直接在非线性函数空间进行误差方程或目标函数的非线性解算。文中给出了两种参数估计准则下的非线性目标函数 ,讨论了目标函数的常用算法迭代法。

The question of surveying data processing in space of nonlinear functions is one front line task in this field. Aim of the question is to work out nonlinear equations directly in space of nonlinear. In this paper, two objective functions of nonlinear are given under two kinds of parameters′ estimation guides. And discuss the iterative methods of nonlinear functions. Based on that, put forward two sorts of best solutions circulating search method which do not depend on functional derivatives,iterative method that is based on differential theory.