Algorithms for Adjustment Model with Uncertainty Based on F-Norm
Abstract In order to improve the calculation efficiency of adjustment models with uncertainty based on F-norm, a directly iterative algorithm is developed. The algorithm does not use singular value decomposition (SVD), is simple in the concept, and is easy to program. Another algorithm of SVD-equations is also given when the iterative algorithm is divergent. The results of the binary linear fitting and AR model in settlement observation illustrate that the two proposed algorithms could be practiced and are equivalent to the algorithm of SVD-iteration.The directly iterative algorithm is more suitable when the iterative algorithm is convergence, which has faster convergence rate and higher calculation efficiency. Moreover, the algorithm of SVD-equations can be used when the iterative algorithm is divergent.
Key words :
uncertainty
adjustment model
iterative algorithm
SVD
AR model
Cite this article:
LU Tieding,ZHU Guohong. Algorithms for Adjustment Model with Uncertainty Based on F-Norm[J]. jgg, 2018, 38(6): 557-561.
LU Tieding,ZHU Guohong. Algorithms for Adjustment Model with Uncertainty Based on F-Norm[J]. jgg, 2018, 38(6): 557-561.
URL:
http://www.jgg09.com/EN/ OR http://www.jgg09.com/EN/Y2018/V38/I6/557
[1]
XIE Bo, LIU Lianwang. Calculation of Rank-Defective Indirect Adjustment Model with Constraint by Inverting Block Matrix [J]. jgg, 2021, 41(2): 157-161.
[2]
YAN Guangfeng,CEN Minyi. Optimum Linear Regression Model Selection Algorithm with Lagrange Multipliers [J]. jgg, 2021, 41(11): 1111-1117.
[3]
GUO Zhongchen,SUN Peng,LI Zhichun. Research on the Improved Algorithm of Clock Bias Short-Term Prediction Based on GM(1,1)+AR Model [J]. jgg, 2020, 40(9): 907-912.
[4]
XIA Yuguo,SONG Yingchun,ZHAO Shaojie. An Iterative Algorithm for Adjustment Model with Uncertainty and Inequality Constraints [J]. jgg, 2020, 40(2): 152-155.
[5]
XIA Yuguo,SONG Yingchun. Application of Bounded Ellipsoid Uncertainty Adjustment Algorithm to Ill-Conditioned Problem [J]. jgg, 2019, 39(9): 956-959.
[6]
XIA Yuguo,SONG Yingchun,XIE Xuemei. Subspace Truncation Newton Method for Parameter-Bounded Adjustment Problem [J]. jgg, 2019, 39(2): 184-188.
[7]
KUANG Daizhi,FENG Jinkai,LI Wei. Research on Area Quasigeoid/Geoid Determination Based on Semi-Free Point Mass Model [J]. jgg, 2019, 39(10): 1027-1032.
[8]
XIAO Zhaobing,SONG Yingchun,XIE Xuemei. Application of a Method for Obtaining Uncertainty in Dislocation Model [J]. jgg, 2018, 38(8): 857-861.
[9]
LIU Zhiping, ZHU Dantong, ZHANG Qiuzhao, WANG Jian. Determining Reasonable Time Resolution of Zenith Tropospheric Delay Products [J]. jgg, 2018, 38(3): 299-304.
[10]
XIAO Zhaobing,SONG Yingchun,XIE Xuemei. Uncertainty Analysis on Improved Nonlinear Time Series Evolution System of Slope Displacements [J]. jgg, 2018, 38(2): 136-140.
[11]
YANG Fan,CHANG Junfei. Point Cloud Registration Algorithm Based on the Consistency of the Ball [J]. jgg, 2018, 38(1): 87-91.
[12]
ZHU Guohong,LU Tieding. Iterative Algorithm for Adjustment Model with Part Uncertainty [J]. jgg, 2017, 37(9): 968-972.
[13]
WEI Shouchun,XU Jianqiao,HAO Hongtao,HAN Yufei. Impacts of Zero Drift Correction in CMONOC Data Processing [J]. jgg, 2017, 37(4): 403-406.
[14]
WANG Qisheng. The New Algorithm for Multivariate Weighted Total Least Squares [J]. jgg, 2017, 37(12): 1281-1284.
[15]
WANG Zhiwen,WANG Qianxin,HE Yilei,HU Chao. A New Method to Predict Pole Shift Based on the Correlation Between PMX and PMY [J]. jgg, 2017, 37(11): 1178-1182.