YOU Wei, FAN Dongming, FU Shujuan. Nonlinear Least Squares Adjustment Based on Homotopy Functions and Filled Functions[J]. Geomatics and Information Science of Wuhan University, 2010, 35(2): 185-188.
Citation: YOU Wei, FAN Dongming, FU Shujuan. Nonlinear Least Squares Adjustment Based on Homotopy Functions and Filled Functions[J]. Geomatics and Information Science of Wuhan University, 2010, 35(2): 185-188.

Nonlinear Least Squares Adjustment Based on Homotopy Functions and Filled Functions

Funds: 地球空间环境与大地测量教育部重点实验室测绘基础研究基金资助项目(04-01-02)
More Information
  • Received Date: December 16, 2009
  • Revised Date: December 16, 2009
  • Published Date: February 04, 2010
  • The method combining homotopy functions with filled functions to solve nonlinear least squares adjustment is presented.We first solve the well-posed nonlinear equations with homotopy method to obtain local optimal solutions,and reasonable filled functions are generated according to the local optimal solutions.It obtains better local optimal solutions than current solutions by the filled functions.Then,the homotopy functions and filled functions will be restructured.Finally,we can find the optimal solutions by limited loop-iteration method.The results show that the method can find optimal solutions effectively.
  • Related Articles

    [1]KAN Haoyu, HU Zhigang, LÜ Yifei, XIE Xin, ZHOU Renyu, ZHAO Qile. Performance Evaluation of BDS-3 Spaceborne Atomic Clock Using Different Time Synchronization Systems[J]. Geomatics and Information Science of Wuhan University, 2023, 48(4): 604-610. DOI: 10.13203/j.whugis20210286
    [2]TAN Han, WU Jiaqi. Accuracy Assessment for LEO Precise Orbit Determination with Single-Difference Ambiguity Resolution[J]. Geomatics and Information Science of Wuhan University, 2022, 47(9): 1460-1469. DOI: 10.13203/j.whugis20200385
    [3]BAI Yan, LU Xiaochun, GAO Tian. An Improved Time Synchronization Algorithm on Inter-Satellite Link Based on Single-Point Pseudorange Epoch Conversion[J]. Geomatics and Information Science of Wuhan University, 2021, 46(7): 1044-1052. DOI: 10.13203/j.whugis20190256
    [4]TANG Guifen, YANG Weifeng, SU Ranran, XIA Aimin. Time Synchronization Method base on Combined Satellite-Ground and Inter-satellite Observation[J]. Geomatics and Information Science of Wuhan University, 2018, 43(2): 183-187. DOI: 10.13203/j.whugis20140266
    [5]LIU Shuo, ZHANG Lei, LI Jian. Research on the Multi-constellation Positioning with the Aid of GNSS Intersystem Time Offset[J]. Geomatics and Information Science of Wuhan University, 2017, 42(7): 1015-1020. DOI: 10.13203/j.whugis20150199
    [6]ZHANG Qianqian, HAN Songhui, DU Lan, GUI Qingming. Bayesian Methods for Outliers Detection and Estimation in Clock Offset Measurements of Satellite-Ground Time Transfer[J]. Geomatics and Information Science of Wuhan University, 2016, 41(6): 772-777. DOI: 10.13203/j.whugis20140666
    [7]LI Ruifeng, WANG Yuanming. Application of Two-Way Satellite-Ground Time Synchronization in COMPASS[J]. Geomatics and Information Science of Wuhan University, 2013, 38(7): 842-844.
    [8]WANG Zhiming, HUA Xianghong, LIU Yanyan. Influence Analysis of Satellite Clock Offset in Precise Point Positioning[J]. Geomatics and Information Science of Wuhan University, 2010, 35(11): 1339-1341.
    [9]GUO Hairong, YANG Sheng, YANG Yuanxi, HE Haibo. Numerical Prediction Methods for Clock Difference Based on Two-Way Satellite Time and Frequency Transfer Data[J]. Geomatics and Information Science of Wuhan University, 2007, 32(1): 43-46.
    [10]HONG Ying, OU Jikun, PENG Bibo. Three Interpolation Methods for Precise Ephemeris and Clock Offset of GPS Satellite[J]. Geomatics and Information Science of Wuhan University, 2006, 31(6): 516-518.

Catalog

    Article views (754) PDF downloads (313) Cited by()
    Related

    /

    DownLoad:  Full-Size Img  PowerPoint
    Return
    Return