ITERATIVE METHOD FOR THE WEIGHTED TOTAL LEASTSQUARES
School of Geodesy and Geomatics,Wuhan University,Wuhan 430079
Abstract The iterative method for the weighted total leastsquares was proposed in the paper.The linear fitting of an example was analyzed with the method and conventional weighted total leastsquares respectively.The results show that accuracy and precision obtained with the method are higher than that obtained with the latter,and the fixed elements of coefficient matrix are not changed after the calculation.All of these prove that the method in this paper is correct.
Key words :
WTLS
singular value decomposition
weight matrices
linear fitting
iterative equations
Received: 05 September 2013
Published: 22 July 2014
Cite this article:
Zhong Chonghao,Yao Yibin,Liu Qiang et al. ITERATIVE METHOD FOR THE WEIGHTED TOTAL LEASTSQUARES[J]. jgg, 2014, 34(4): 153-156.
Zhong Chonghao,Yao Yibin,Liu Qiang et al. ITERATIVE METHOD FOR THE WEIGHTED TOTAL LEASTSQUARES[J]. jgg, 2014, 34(4): 153-156.
URL:
http://www.jgg09.com/EN/ OR http://www.jgg09.com/EN/Y2014/V34/I4/153
[1]
XIE Bo, SHI Fuqiang, MA Sheng, LI Feng. Micro-Seismic Signal Denoising Method Based on EWT-Component Threshold and SVD [J]. jgg, 2021, 41(3): 319-322.
[2]
XIE Jian,LONG Sichun. Classic Least Squares Method to the Weighted EIV Model [J]. jgg, 2019, 39(5): 544-546.
[3]
XIAO Zhaobing,SONG Yingchun,XIE Xuemei. Application of Parameters with Ellipsoidal Constraints in Adjustment Algorithm [J]. jgg, 2018, 38(9): 964-967.
[4]
DENG Xingsheng,HUANG Xiaopeng,PENG Sichun. Weighted Total Least-Squares Adjustment with Partial Prior Random Parameter [J]. jgg, 2018, 38(9): 968-973.
[5]
WANG Zhu’an,CHEN Yi,MAO Pengyu. The Application of the Posterior Estimation on Weighted Total Least-Squares to Three Dimensional-Datum Transformation [J]. jgg, 2018, 38(2): 216-220.
[6]
XIA Pengfei,YE Shirong. A Troposphere Tomography Technique Based on Combined Reconstruction Algorithm [J]. jgg, 2017, 37(9): 928-932.
[7]
ZHU Guohong,LU Tieding. Iterative Algorithm for Adjustment Model with Part Uncertainty [J]. jgg, 2017, 37(9): 968-972.
[8]
LI Jinpeng,ZHANG Yingtang,FAN Hongbo,LI Zhining,YIN Gang,DU Yunchao. Focus Inversion Method Based on Normalized Source Strength [J]. jgg, 2017, 37(10): 1045-1048.
[9]
DENG Caihua,ZHOU Yongjun,ZHU Jianjun. A Rayleigh Quotient Based Iterative Weighted Total Least Squares Methods for Heteroscedastic Conic Fitting [J]. jgg, 2016, 36(5): 438-.
[10]
WU Jizhong,WANG Anyi. A Unified Model for Cartesian Coordinate Transformations in
Two- and Three-dimensional Space [J]. jgg, 2015, 35(6): 1046-1048.
[11]
. MULTICOLLINEARITY DIAGNOSIS METHOD TO ON DETERMINE
DETERMINING TRUNCATION PARAMETER IN SVD [J]. jgg, 2013, 33(6): 133-136.
[12]
Yang Shiping, Fan Dongming, Long Yuchun. THREE-DIMENSIONAL COORDINATION TRANSFORMATION
ADAPTED TO ARBITRARY ROTATION ANGLE BASED
ON TOTAL LEAST SQUARES METHOD [J]. jgg, 2013, 33(2): 114-119.
[13]
Yang Shiping ;Fan Dongming ;and Long Yuchun . AN IMPROVED WEIGHTED TOTAL LEAST SQUARES ALGORITHM [J]. , 2013, 33(1): 48-52.
[14]
Wang Leyang;. TRILATERATION NET’S COORDINATE ADJUSTMENT BASED ON TOTAL LEAST SQUARES [J]. , 2012, 32(6): 81-85.
[15]
Hu Chuan ;and Chen Yi;. AN INNOVATED ALGORITHM FOR SOLUTION OF WEIGHTED TOTAL LEAST SQUARES ADJUSTMENTS [J]. , 2012, 32(6): 106-110.