On the performance of Van den Berg's three-stage algorithm with different choices of variational basis functions

Abstract

An investigation is conducted on /he convergence rate of three members of uan den Berg's three-stage algorithm corresponding to three different choices of fiariational basis functions. Particular atfention is paid to the behavior of these methods when very high accuracy is required. It is shown that this leads to total breakdown for the three-stage version of the well-known conjugate-gradient FFT (CGFFT), whereas stabilityis achieued for other members. 0 1996 John Wiley & Sons, Inc. ABSTRACT A nonlinear amplibing loop mirror (NALM) 6 here proposed as a good candidate for ampigcation of dark solitom in fiber-optic communication systems. Simulations show the restoration of the dark-soliton contrast ratio using the pmposed technique. The same proposed scheme can also be useful in bright-soliton-based systems. 0 1996 John uliley & Sons, Znc.