线性空间与非线性函数空间测量平差效果比较

来源期刊：中南大学学报(自然科学版)2000年第5期

论文作者：傅明 李朝奎 朱建军

文章页码：392 - 395

关键词：非线性;线性;函数空间;平差

Key words：nonlinear; linear; space of function; adjustment

摘    要：非线性函数空间的测量平差与数据处理理论是当前理论界研究的一个重要课题.用顾及一阶、二阶泰勒项的线性平差方法及非线性函数空间的平差方法对同一平差问题进行研究,通过比较其平差效果,结果表明顾及二阶泰勒项的平差方法性价比是不合理的.

Abstract: The nonlinear adjustment and data processing theory is one of the main problems in researches. In the way of adjustment with the first and second order term of expanded nonlinear function in consideration and the way of nonlinear adjustment in the fields of nonlinear to do the same adjustment, by comparison of its results, it is concluded that the adjustment which considered the second order term of expanded nonlinear function costs more than the adjustment which considered the first order term of expanded nonlinear function, and stressed is put on the possibility of constructing theory of adjustment and data processing in the space of nonlinear functions.