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非线性最小二乘平差参数精度的评定

ACCURACY OF PARAMETERS ADJUSTED BY VARIANCE COVARIANCE PROPAGATION OF NONLINEAR LEAST SQUARES FOR DIFFERENT TYPES OF OBSERVED VALUES

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【作者】 李桂苓李瑞华陶华学

【Author】 LI Gui ling, LI Rui hua and TAO Hua\|xue/ About the first author: LI Gui ling, female, lecturer, obtained MS degree from Shandong University of Science and Technology in 2000. Now she is working on survey data manipulation at the Department of Petroleu

【机构】 石油大学石油资源科学系!山东东营257061山东科技大学!山东泰安271019

【摘要】 对于非线性最小二乘平差参数的方差协方差传播的研究 ,必须与非线性最小二乘平差的研究同步。为了适应现代变形监测中观测值种类变化的多样性 ,将观测值类型加以扩展 ,提出了不同类型观测值的非线性最小二乘平差参数的方差协方差传播理论和计算公式 ,利用算例证明了它的可行性

【Abstract】 The research of variance covariance propagation of nonlinear least squares adjusted parameters must keep in step with the development of nonlinear least squares adjustment in this area. The existing results are inclined to the variance covariance propagation of observed values, and precision of the nonlinear least squares adjusted parameter is seldom concerned. This paper gives the theory and calculating formula for variance covariance propagation of nonlinear least squares adjusted parameters for different types of observed data. The results of example prove that this method is effective and reliable.

【基金】 国家自然科学基金资助项目!(498740 0 1)
  • 【文献出处】 石油大学学报(自然科学版) ,Journal of The University of Petroleum,china , 编辑部邮箱 ,2001年01期
  • 【分类号】P207
  • 【被引频次】5
  • 【下载频次】205
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