Regularization of the moment matrix solution by a nonquadratic conjugate gradient method

Author

Knockaert, Luc ; Zutter, Daniël De

Author_Institution

Dept. of Inf. Technol., INTEC, Ghent, Belgium

Volume

48

Issue

5

fYear

2000

fDate

5/1/2000 12:00:00 AM

Firstpage

812

Lastpage

816

Abstract

Inspired by Tikhonov regularization, a nonlinear conjugate gradient method is proposed with the purpose of simultaneously regularizing and solving the moment matrix equation. The procedure is based on a nonquadratic conjugate gradient algorithm with exact line search, restart, and rescale. Applied to the problem of TM scattering by perfectly conducting rectangular cylinders, the method is shown to exhibit a fast convergence rate

Keywords

conducting bodies; conjugate gradient methods; convergence of numerical methods; electromagnetic wave polarisation; electromagnetic wave scattering; matrix algebra; method of moments; TM scattering; Tikhonov regularization; exact line search; fast convergence rate; moment matrix equation; moment matrix solution; nonlinear conjugate gradient method; nonquadratic conjugate gradient method; perfectly conducting rectangular cylinders; rescale; restart; Character generation; Covariance matrix; Electromagnetic interference; Gradient methods; Integral equations; Moment methods; Nonlinear equations; Scattering; Testing; Topology;

fLanguage

English

Journal_Title

Antennas and Propagation, IEEE Transactions on

Publisher

ieee

ISSN

0018-926X

Type

jour

DOI

10.1109/8.855501

Filename

855501