摘要
基于整体最小二乘(TLS)数据处理理论以及TLS迭代算法,利用泰勒公式确定非线性模型一阶偏导数,推导了其误差量级。并将该方法应用于TLS精度评定,提出了检验结果可靠性的方法,最后通过实验验证了该方法的可行性。
On the basis of the total least-squares(TLS) data processing theory and an iterative algorithm for TLS,first-order partial derivative of the nonlinear model was determined by using Taylor formula and the error magnitude of the results was derivated.The method was applied to the TLS precision evaluation,and the method for reliability testing is proposed.The experimental results verify the feasibility of the method in TLS precision evaluation.
出处
《大地测量与地球动力学》
CSCD
北大核心
2011年第3期110-114,共5页
Journal of Geodesy and Geodynamics
基金
国家自然科学基金(40774008
40721001)
中央高校基本科研业务专项
关键词
整体最小二乘
泰勒公式
一阶偏导数
可靠性检验
迭代算法
Total Least-Squares(TLS)
Taylor formula
first-order partial derivative
reliability testing
iterative algorithm