GNSS World of China

Volume 46 Issue 1
Feb.  2021
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YUAN Xingming, SUN Zhen. Relaxation barycentre iterative algorithm for solving parameter estimation of overdetermined distance locating equations[J]. GNSS World of China, 2021, 46(1): 7-12. doi: 10.12265/j.gnss.2020052504
Citation: YUAN Xingming, SUN Zhen. Relaxation barycentre iterative algorithm for solving parameter estimation of overdetermined distance locating equations[J]. GNSS World of China, 2021, 46(1): 7-12. doi: 10.12265/j.gnss.2020052504
shu

Relaxation barycentre iterative algorithm for solving parameter estimation of overdetermined distance locating equations

doi: 10.12265/j.gnss.2020052504
  • 1.

    College of architecture and Information Engineering, Shandong Vocational College of Industry, Zibo 256414, China

  • 2.

    Geomatics Engineering，Shandong University of Technology, Zibo 255049, China

  • Received Date: 2020-05-25
    Available Online: 2021-04-06
  • Publish Date: 2021-02-15
    Abstract
  • Based on the minimal residual criterion, a relaxtion method is proposed to improve the convergence efficiency of the barycentre method for solving the distance equations. The relaxation factor for adaptive selecting the iterative step of barycentre method is derived by the minimum residual criterion. The proposed method has the advantages of simple iterative format without the matrix inversion and to simplify the procedure without calculating the Hessian matrix. Finally, the novel method is performed to solve the data of GNSS and marine positioning examples to show its performance, and results show the numerical convergence experiments are performed to show the convergence efficiency improvment.

     

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