非线性模型线性近似的容许曲率

由于不同的非线性模型具有不同的非线性强度,使得一些非线性模型可以线性近似,而另一些则不能。本文介绍度量非线性强度的方法,提出判断非线性模型能否线性近似的数值标准——容许曲率。

Acceptable Curvature of Nonlinear Model for Linear Approximation

In geodesy many models are nonlinear models. The classical method dealing with these nonlinear models is linear approximation using the approximate value of parameter. Due to the difference of nonlinearity between different nonliear models, some nonlinear models can be linear approximation and the others can be not. How to measure nonlinearity of nonlinear models? This paper introduces a method to measure nonlinearity of nonlinear mdoel and presents a numerical standard for linear approximation-acceptable curvature.