Title
An Improved Subspace-Based Optimization Method and Its Implementation in Solving Three-Dimensional Inverse Problems
Abstract
This paper proposes an improved subspace-based optimization method (SOM) by using a new construction method for the ambiguous part of the induced current. The new current construction method reduces not only the computational complexity of the current construction in every iteration of the optimization but also the computational complexity of the singular-value decomposition of the mapping from the induced current to scattered fields. Thus, the improved SOM is able to deal with the 3-D inverse-scattering problems. Numerical tests validate the algorithm.
Year
DOI
Venue
2010
10.1109/TGRS.2010.2049744
Geoscience and Remote Sensing, IEEE Transactions
Keywords
Field
DocType
computational complexity,inverse problems,iterative methods,optimisation,singular value decomposition,3-D inverse-scattering problems,computational complexity,current construction method,induced current,iteration,singular-value decomposition,subspace-based optimization method,three-dimensional inverse problems,3-D inverse problems,Inverse scattering,optimization
Iterative reconstruction,Singular value decomposition,Mathematical optimization,Subspace topology,Iterative method,Inverse problem,Construction method,Mathematics,Inverse scattering problem,Computational complexity theory
Journal
Volume
Issue
ISSN
48
10
0196-2892
Citations 
PageRank 
References 
4
0.50
3
Authors
3
Name
Order
Citations
PageRank
Zhong, Y.140.50
Xudong Chen2112.12
Krishna Agarwal372.41