G-M模型病态问题的多步解法  

Multi-step solution to ill-posed problems of Gauss-Markov model

作　　者：蒋敏卫[1] 

机构地区：[1]河海大学地球科学与工程学院,江苏南京210098

出　　处：《河海大学学报（自然科学版）》2011年第2期165-168,共4页Journal of Hohai University(Natural Sciences)

摘　　要：针对G-M模型的病态问题,分析了导致模型病态的原因和各种解决办法,重点研究了两步解法的计算过程.通过对两步解法的借鉴和引申,提出了克服模型病态性的新方法——多步解法.模拟了1个病态问题算例,应用maple数值计算软件,采用不同的方法计算该模型的参数估值,比较它们计算结果的优劣.结果表明,多步解法比两步解法计算精度更高,并且其计算步数与阈值的大小有关.With regard to the ill-posed problem of the Gauss-Markov model,the causes and various methods were analyzed,and the computational process of the two-step solution was highlighted.Based on the extension of the two-step solution, a new method for solving the ill-posed problems was proposed,that is,multistep solution.An example of the ill-posed model was simulated.Various methods were employed to calculate the parametric values of this model by use of numerical software maple,and the calculated results were compared.It is concluded that the multi-step solution has higher precision than the two-step solution,and the calculation steps are related to the magnitude of the threshold.

关 键 词：多步解法 病态问题 G-M模型 两步解法 正则化理论 

分 类 号：P228[天文地球—大地测量学与测量工程]