摘要
测量数据处理中的病态问题通常会引起最小二乘估计结果的显著变化,使得数值解算不稳定,且解算结果与真值相差较大,无法满足实际问题中的精度要求。结合病态估计理论的最新进展,本文详细介绍了岭估计、谱修正迭代法、Liu估计及Liu型估计四种处理病态问题估计方法的基本原理及其性质,在理论分析的基础上,通过实验对比分析了各估计方法的优缺点,为实际应用中选择合理的病态问题估计方法提供了参考。
The ill-posed measurements usually results in unstable estimation of the least squares method,and cannot meet the accuracy requirement in the practical. This paper introduces the basic principle and properties of some estimate methods for ill posed problems,including the ridge estimate,the spectrum correction iteration method,Liu estimate,and the Liu type estimate. It analyzes the advantages and disadvantages of individual estimate method through experiments,which provides a reference for reasonable choice of estimate method to deal with ill-posed problem in practice.
作者
翟敏
郑丹
白庆帅
翟心仪
孙小惠
Zhai Min;Zheng Danz;Bai Qingshuai;Zhai Xinyi;Sun Xiaohui(Geomatics College, Shandong University of Science and Technology, Qingdao 266590, China;Heilongjiang Institute of Geomatics Engineering, Haerbin 150086, China;School of Civil Engineering, Qilu Institute of Technology, Jinan 250000, China;Weihai No. 1 High School, Weihai 264200, China)
出处
《工程勘察》
2018年第6期47-50,共4页
Geotechnical Investigation & Surveying
基金
山东科技大学研究生创新基金项目(SDKDYC170208)
