Estimation of Optimal Parameters in Tchebychev Iteration.
Masahide Nakamura · TRANSACTIONS OF THE JAPAN SOCIETY OF MECHANICAL ENGINEERS Series C · 1999
A new method to estimate the optimal parameters in Tchebychev iteration has been developed. In this paper, a self-tuning regulator was adopted and the optimum parameters in the Tchebychev iteration method were determined according to the results of identification. Moreover, we accelerated the convergence of the approximate solution to the exact solution by considering the reliability of identification results. The diffusion problem with the convection term was used as a test problem and the present method was compared with the CGS method. The memory capacity required for the present method was much smaller than that of the CGS method, but the present method exhibited an excellent performance to the problems which had the marked nonsymmetric coefficient matrices.