Volume 35 Issue 11
Nov.  2010
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LU Tieding, ZHOU Shijian. An Iterative Algorithm for Total Least Squares Estimation[J]. Geomatics and Information Science of Wuhan University, 2010, 35(11): 1351-1354.
Citation: LU Tieding, ZHOU Shijian. An Iterative Algorithm for Total Least Squares Estimation[J]. Geomatics and Information Science of Wuhan University, 2010, 35(11): 1351-1354.
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An Iterative Algorithm for Total Least Squares Estimation

  • 1School of Geoscience and Surveying Engineering,East China Institute of Technology,56 Xuefu Road,Fuzhou 344000,China;2School of Geodesy and Geomatics,Wuhan University,129 Luoyu Road,Wuhan 430079,China;3Jiangxi Academy of Sciences,Shangfang Road,Nanchang,330029,China

Funds: 国家自然科学基金资助项目(40874010)；江西省自然科学基金资助项目(2007GZC0474,2008GQC0001,2008GZS0041)；武汉大学地球空间环境与大地测量教育部重点实验室开放研究基金资助项目(080104)；现代工程测量国家测绘局重点实验室开放研究基金资助项目(TJES0802)；数字国土江西省重点实验室开放研究基金资助项目(DLLJ200506)
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  • Received Date: September 14, 2010
  • Revised Date: September 14, 2010
  • Published Date: November 04, 2010
    Graphical Abstract
    • Abstract
  • Total least squares(TLS) approach aims at estimating a matrix of parameters from a linear model when there are errors in both the observation vector L and the data matrix A.The authors derived an iterative algorithm to solve the TLS problem by using the principle of indirect adjustment.Compared with the method based on singular-value decomposition,the iterative algorithm coincides with the SVD algorithm.The calculated example has proved that the iterative algorithm is validity and rationality.
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