Citation: | ZENG Wenxian, LIU Zebang, FANG Xing, LI Yubing. Linearization Estimation Algorithm for Universal EIV Adjustment Model[J]. Geomatics and Information Science of Wuhan University. DOI: 10.13203/j.whugis20200243 |
[1] |
The Group of Surveying Adjustment in the School of Geodesy and Geomatics.Wuhan University.Error Theory and Foundation of Surveying Adjustment[M].Wuhan:Wuhan University Press, 2003.63-98(武汉大学测绘学院测量平差学科组. 误差理论与测量平差基础[M]. 武汉:武汉大学出版社,2003. 63-98).
|
[2] |
VAN HUFFEL S, VANDEWALLE J. The Total Least Squares Problem:Computational Aspects and Analysis[M]. Philadelphia:Society for Industrial and Applied Mathematics, 1991.
|
[3] |
Adcock R J. Note on the Method of Least Squares[J]. The Analyst, 1877,4(6):183-184.
|
[4] |
Golub G H, Loan C F V. An Analysis of the Total Least Squares Problem[M]//An analysis of the total least squares problem., 1980.
|
[5] |
Van Huffel S, Vandewalle J. The Total Least Squares Problem:Computational Aspects and Analysis[M]. Philadelphia:SLAM,1991
|
[6] |
Yunzhong Shen, Bofeng Li, Yi Chen. An iterative solution of weighted total least-squares adjustment[J]. Journal of Geodesy, 2011, 85(4):229-238.
|
[7] |
FANG Xing. Weighted Total Least Squares:Necessary and Sufficient Conditions, Fixed and Random Parameters[J]. Journal of Geodesy, 2013, 87(8):733-749
|
[8] |
Liu Jingnan, Zeng Wenxian, Xu Peiliang. Overview of Total Least Squares Methods[J]. Geomatics and Information Science of Wuhan University, 2013, 38(5):505-512. (刘经南, 曾文宪, 徐培亮. 整体最小二乘估计的研究进展[J]. 武汉大学学报·信息科学版, 2013, 38(5):505-512).
|
[9] |
FANG Xing. A structured and constrained Total Least-Squares solution with cross-covariances [J]. Studia Geophysica Et Geodaetica, 2014, 58(1):1-16.
|
[10] |
FANG Xing. On non-combinatorial weighted total least squares with inequality constraints[J]. Journal of Geodesy, 2014, 88(8):805-816.
|
[11] |
FANG Xing. Weighted total least-squares with constraints:a universal formula for geodetic symmetrical transformations[J]. Journal of Geodesy, 2015, 89(5):459-469.
|
[12] |
Zeng Wenxian,Liu Jinnan,Yao Yibin, On Partial Errors-in-variables Models with Inequality Constraints of Parameters and Variables, Journal of Geodesy, 2015.2.89(2):111~119.
|
[13] |
XIE Jian, LONG Sichun, LI Li,et al. An Aggregate Function Method for Weighted Total Least Squares with Inequality Constraints[J]. Geomatics and Information Science of Wuhan University, 2018, 43(10):1526-1530(谢建, 龙四春, 李黎, 等. 不等式约束加权整体最小二乘的凝聚函数法[J]. 武汉大学学报·信息科学版, 2018, 43(10):1526-1530)
|
[14] |
LI Sida, LIU Lintao, LIU Zhiping,et al. Robust Total Least Squares Method for Multivariable EIV Model[J]. Geomatics and Information Science of Wuhan University, 2019, 44(8):1241-1248(李思达, 柳林涛, 刘志平,等. 多变量稳健总体最小二乘平差方法[J]. 武汉大学学报·信息科学版, 2019, 44(8):1241-1248).
|
[15] |
Fang Xing, Zeng Wenxian, Zhou Yongjun, et al. On the Total Least Median of Squares adjustment for the pattern recognition in point clouds[J]. Measurement, 2020:107794.
|
[16] |
XU Peiliang, LIU Jingnan, SHI, Chuang. Total least squares adjustment in partial Errors-in-variables models:algorithm and statistical analysis. Journal of geodesy, 2012, 86(8):661-675.
|
[17] |
ZENG Wenxian, FANG Xing, LIU Jingnan,et al. Weighted Total Least Squares of Universal EIV Adjustment Model. Acta Geodaetica et Cartographica Sinica,2016, 45(8):890-894(曾文宪, 方兴, 刘经南,等. 通用EIV平差模型及其加权整体最小二乘估计[J]. 测绘学报, 2016, 45(8):890-894).
|
[18] |
Amiri-Simkooei A R, Mortazavi S, Asgari J. Weighted total least squares applied to mixed observation model[J]. Empire Survey Review, 2015, 48(349):278-286.
|
[19] |
ZENG Wenxian, TAO Benzao. Nonlinear model of three-dimensional coordinate transformation. Geomatics and Information Science of Wuhan University.2003, 28(5):566-568(曾文宪, 陶本藻. 三维坐标转换的非线性模型[J]. 武汉大学学报(信息科学版), 2003, 28(5):566-568).
|
[20] |
ZENG Wenxian. Effect of the random design matrix on adjustment of an EIV model and its reliability theory[D].WuHan:WuHan University. 2013(曾文宪. 系数矩阵误差对EIV模型平差结果的影响研究[D].武汉:武汉大学, 2013).
|
[21] |
Leberl F. Observations and Least Squares:Edward M. Mikhail, with contributions by F. Ackermann. Dun-Donelly, New York, N.Y. 1976, 497 pp. hard cover, U.S[J]. Photogrammetria, 1978, 34(6):261-262.
|
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