Paper Title:
A Regularization Homotopy Iterative Method for Ill-Posed Nonlinear Least Squares Problem and its Application
  Abstract

A regularization homotopy iterative method established for ill-posed nonlinear least squares problem. Two new regularization parameter selecting strategies are proposed, which are called direct search method and interval division method. The calculation results of nonlinear least squares problems show that the regularization homotopy iterative method and parameter selecting strategies proposed in this paper are correctly and applicable. And also calculation results of nonlinear adjustment of free networks with rank deficiency of Jianglong bridge pier displacement defor-mation monitoring control network show that the method not only decrease the iterative matrix con-dition number, but also make the condition number small fluctuation in full iterative process.

  Info
Periodical
Edited by
Xuejun Zhou
Pages
3268-3273
DOI
10.4028/www.scientific.net/AMM.90-93.3268
Citation
L. M. Tang, "A Regularization Homotopy Iterative Method for Ill-Posed Nonlinear Least Squares Problem and its Application", Applied Mechanics and Materials, Vols. 90-93, pp. 3268-3273, 2011
Online since
September 2011
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