DocumentCode
1514861
Title
An efficient improvement of modified Newton-Raphson algorithm for electrical impedance tomography
Author
Rao, Liyun ; He, Renjie ; Wang, Youhua ; Yan, Weili ; Bai, Jing ; Ye, Datian
Author_Institution
Dept. of Electr. Eng., Hebei Univ. of Technol., Tianjin, China
Volume
35
Issue
3
fYear
1999
fDate
5/1/1999 12:00:00 AM
Firstpage
1562
Lastpage
1565
Abstract
An efficient improvement, based on the idea of homotopy, is proposed to improve and ensure the convergence of the modified Newton-Raphson (MNR) algorithm through the continuous mapping of solution space, and the behavior of solution is restrained towards the global convergence after several initial solution mappings. Comparisons of the new algorithm with MNR are presented, and the advantage of new algorithm is demonstrated for the problem of electrical impedance tomography
Keywords
Newton-Raphson method; convergence of numerical methods; electric impedance imaging; inverse problems; convergence improvement; electrical impedance tomography; global convergence; homotopy; modified Newton-Raphson algorithm; solution space continuous mapping; Conductivity; Diffusion processes; Helium; Impedance; Inverse problems; Jacobian matrices; Reconstruction algorithms; Space technology; Tomography; Voltage;
fLanguage
English
Journal_Title
Magnetics, IEEE Transactions on
Publisher
ieee
ISSN
0018-9464
Type
jour
DOI
10.1109/20.767269
Filename
767269
Link To Document