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
fDate :
5/1/1999 12:00:00 AM
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;
Journal_Title :
Magnetics, IEEE Transactions on
