• ISSN 0258-2724
  • CN 51-1277/U
  • EI Compendex
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Volume 22 Issue 2
Apr.  2009
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Article Contents
YOU Wei, FAN Dongming. Nonlinear Least Squares Adjustment Based on Improved Homotopy Algorithm[J]. Journal of Southwest Jiaotong University, 2009, 22(2): 181-185.
Citation: YOU Wei, FAN Dongming. Nonlinear Least Squares Adjustment Based on Improved Homotopy Algorithm[J]. Journal of Southwest Jiaotong University, 2009, 22(2): 181-185.

Nonlinear Least Squares Adjustment Based on Improved Homotopy Algorithm

  • Received Date: 05 Jun 2008
  • Publish Date: 20 Apr 2009
  • Based on the homotopy idea,an improved homotopy algorithm was proposed in order to search a more efficient algorithm for nonlinear least squares adjustment.This algorithm directly transforms the rule of nonlinear least squares adjustment into the rule of homotopy least squares adjustment,and the rule of homotopy least squares adjustment is changed into a fixed-point homotopy problem on the basis of the extreme conditions of an optimization problem.The solutions of tangent vector and step size are improved based on the Li-Yorke algorithm.Partial differential equations are solved with the improved homotopy algorithm to follow the homotopy curve.The convergence of the improved homotopy algorithm was investigated and tested with the Matlab program language.The research results show that the improved homotopy algorithm is a global convergent algorithm with a stable result,great accuracy,fast speed and wide convergence,compared with the Newton iterative algorithm and the Li-Yorke algorithm.

     

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