摘要
将总体最小二乘平差方法应用于矿山开采沉陷概率积分法预计参数的解算,建立了概率积分法总体最小二乘平差模型,给出了非线性总体最小二乘平差的迭代算法。并以淮南矿区谢桥矿某工作面为例,考虑观测方程系数阵病态性的影响,分别采用最小二乘岭估计法和总体最小二乘岭估计法解算预计参数,计算表明,采用总体最小二乘岭估计法在解算预计参数时精度更高,且拟合参数的估值受到模型参数初值的影响。
Applying total least squares method to the predication determining parameters of probability integration method in mining subsidence,the authors advance total least squares model of probability integration method and and provide the iterative algorithm of nonlinear total least squares.Xieqiao coal face 11316 in Huainan as an example,the ridge estimation methods of least squares and total least squares are used respectively to calculate the predication parameters considering the influence of ill-posed coefficient matrix of the observation equation.The experiment results show that the the ridge estimation method of total least squares has higher precision in solving the prediction parameters.And the fitting parameters are affected by the initial values.
作者
孙同贺
闫国庆
陈瑞麒
王芳
SUN Tonghe;YAN Guoqing;CHEN Ruiqi;WANG Fang(Mining and Coal Institute,Inner Mongolia University of Science and Technology,Baotou Inner Mongolia 014010,China;Industrial Technology Research Institute,Inner Mongolia University of Science and Technology,Baotou Inner Mongolia 014010,China)
出处
《北京测绘》
2019年第10期1222-1226,共5页
Beijing Surveying and Mapping
基金
内蒙古自治区自然科学基金(2018LH04004)
关键词
总体最小二乘
概率积分法
岭估计法
预计参数
total least squares
probability integration method
ridge estimation method
predication parameters
