摘要
测量数据处理中不同的非线性模型具有不同的非线性强度，从而使得一些非线性模型可以线性近似，而另一些选择适当的参数变换后可以线性近似，还有少数不能线性近似．介绍了度量非线性模型和附加限制条件的非线性模型的非线性强度的方法，提出了判断非线性模型和附加限制条件的非线性模型线性近似的数值标准———容许曲率和容许偏差．此外，还给出了实例。
Because of the differences of curvature and bias between different models, some models can be linear approximately and others can not be. This paper presents a method to measure nonlinearity of the nonlinears models under the restricted condition and also presents a numerical standard for linear approximation acceptable curvature and bias. And two simple numerical examples are given to illustrate the application of the above methods.
出处
《中南工业大学学报》
CSCD
北大核心
1999年第3期230-233,共4页
Journal of Central South University of Technology(Natural Science)
基金
国家自然科学基金
关键词
线性近似
非线性强度
容许偏差
非线性模型
测量
linear approximation
acceptable curvature
nonlinear strength
acceptable bias
