Nonlinear Least Square Based on Control Direction by Dual Method and Its Application
Joint Authors
Fu, Zhengqing
Guo, Hua
Guo, Lanlan
Liu, Weike
Liu, Guolin
Source
Mathematical Problems in Engineering
Issue
Vol. 2016, Issue 2016 (31 Dec. 2016), pp.1-5, 5 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2016-10-30
Country of Publication
Egypt
No. of Pages
5
Main Subjects
Abstract EN
A direction controlled nonlinear least square (NLS) estimation algorithm using the primal-dual method is proposed.
The least square model is transformed into the primal-dual model; then direction of iteration can be controlled by duality.
The iterative algorithm is designed.
The Hilbert morbid matrix is processed by the new model and the least square estimate and ridge estimate.
The main research method is to combine qualitative analysis and quantitative analysis.
The deviation between estimated values and the true value and the estimated residuals fluctuation of different methods are used for qualitative analysis.
The root mean square error (RMSE) is used for quantitative analysis.
The results of experiment show that the model has the smallest residual error and the minimum root mean square error.
The new estimate model has effectiveness and high precision.
The genuine data of Jining area in unwrapping experiments are used and the comparison with other classical unwrapping algorithms is made, so better results in precision aspects can be achieved through the proposed algorithm.
American Psychological Association (APA)
Fu, Zhengqing& Liu, Guolin& Guo, Lanlan& Liu, Weike& Guo, Hua. 2016. Nonlinear Least Square Based on Control Direction by Dual Method and Its Application. Mathematical Problems in Engineering،Vol. 2016, no. 2016, pp.1-5.
https://search.emarefa.net/detail/BIM-1112530
Modern Language Association (MLA)
Fu, Zhengqing…[et al.]. Nonlinear Least Square Based on Control Direction by Dual Method and Its Application. Mathematical Problems in Engineering No. 2016 (2016), pp.1-5.
https://search.emarefa.net/detail/BIM-1112530
American Medical Association (AMA)
Fu, Zhengqing& Liu, Guolin& Guo, Lanlan& Liu, Weike& Guo, Hua. Nonlinear Least Square Based on Control Direction by Dual Method and Its Application. Mathematical Problems in Engineering. 2016. Vol. 2016, no. 2016, pp.1-5.
https://search.emarefa.net/detail/BIM-1112530
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1112530