不同类型观测值非线性平差模型的降维解算  

A REDUCED DIMENSION METHOD OF NONLINEAR ADJUSTMENT MODEL FOR DIFFERENT TYPES OF OBSERVATION VALUE

作　　者：李桂苓[1] 陶华学[2] 

机构地区：[1]石油大学(华东),山东东营257061 [2]山东科技大学,山东泰安271019

出　　处：《勘察科学技术》2001年第1期54-58,共5页Site Investigation Science and Technology

摘　　要：该文针对不同类型观测值的非线性最小二乘平差 ,介绍一种将问题分离后再解算的基于变尺度法的解析方法。在这种解算方法中 ,由于将待估参数分成了两部分 ,使原本庞大的高维方程组的解算得以简化 ,把待求参数的维数减半 ,大大提高了工作效率。并通过算例证明了它的可行性和有效性。The paper gives a calculation method of nonlinear least square adjustment for different types of observation value, which reduces the dimensions of a big equation based on BFGS method. In this method, the parameters to be estimated are divided into two sections, the number of equation dimension is reduced by half, so the solution of equation is simplified, and the working efficiency is greatly raised. The results of example proved the feasibility and efficiency of this method.

关 键 词：观测值 降维解算 非线性最小二乘平差 平差模型 高维方程组 测量数据 

分 类 号：P207[天文地球—测绘科学与技术]