摘要
间接平差中限制条件的存在表明观测方程中的未知参数蕴含有函数不独立的未知参数，该文应用限制条件将函数不独立部分未知参数表示为函数独立部分未知参数的函数，代入观测方程消去函数不独立部分未知参数后再进行最小二乘平差；推导了这种解法的全部计算公式并证明了其解与传统平差法的解完全相等；简要说明了解法的原理在联系参数函数不独立扩建网极大验后估计公式推证中的应用。
Constraints in parameter adjustment for that there are functionally correlative unknown parameters in the observation equations. This paper, applying the constraints, derives functionally correlative unknown parameters expressed as the functions of functionally uncorrelative unknown parameters. The least- square adjustment is performed after making use of these expressions to eliminate the functionally correlative unknown parameters. The formulas of this solving method are derived and its solution equivalent to solution of the traditional parameter adjustment with constraints are proved. Application of the principle of the solving method in the maximum posterior estimation with functionally correlative connected parameters extended net has been stated briefly.
出处
《勘察科学技术》
1999年第4期47-50,64,共5页
Site Investigation Science and Technology
