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

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 sh...

Full description

Saved in:
Bibliographic Details
Published inApplied Mechanics and Materials Vol. 90-93; pp. 3268 - 3273
Main Author Tang, Li Min
Format Journal Article
LanguageEnglish
Published Zurich Trans Tech Publications Ltd 01.09.2011
Subjects
Regularization Homotopy
Ill-Posed
Nonlinear Least-Squares
Deformation Monitoring
Surveying Adjustment
Online AccessGet full text

Cover

More Information
Summary: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.
Bibliography:Selected, peer reviewed papers from the 2011 International Conference on Civil Engineering and Transportation, (ICCET 2011), 14-16 October, 2011, Jinan, China
ISBN:3037852429
9783037852422
ISSN:1660-9336
1662-7482
1662-7482
DOI:10.4028/www.scientific.net/AMM.90-93.3268