非线性函数一阶和二阶泰勒展开截留项下的平差效果

顾及非线性函数的二阶泰勒展开项的非线性平差理论是当前理论界研究的一个热点 ,也是一个疑点 通过对顾及一阶泰勒项及顾及二阶泰项勒两种情形下的平差过程及其效果作了细致地对比 ,得出了“二阶项对一阶项平差无明显改善”及“顾及二阶项的平差方法的性价比不合理”的结论 ,指出测量平差的归属是建立非线性函数空间的平差与数据处理理论 图 1 ,表 3,参 6

The adjustment effects with the first and second order term of expanded nonlinear function in consideration

The nonlinear adjustment theory with the second order term of expanded nonlinear function in consideration is a focus point. The improvements that the nonlinear adjustment of taking up to the second order term than the linear adjustment of only taking up to the first order term is a practical problem to be sloved. In this paper, the adjustments and its effects about the two cases are given by close comparison on adjustment results and concluded that there is no evident improvements on the result and the parity of property to price is not reasonable as to the adjustment with the second order term in consideration. It is a practical way of adjustment for constructing a theory of adjustment and data processing in the space of nonlinear functions. 1fig.,3tabs.,6refs.