Title :
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
fDate :
5/1/2000 12:00:00 AM
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;
Journal_Title :
Antennas and Propagation, IEEE Transactions on
