How to apply theory of $G$-functions to the convergence analysis of the relaxation methods


Ljiljana Cvetković, Dragoslav Herceg




The concept of G-functions is used to obtain convergence area of the Accelerated Overrelaxation (AOR) method for solving some special linear systems. More precisely, a new upper bound for the spectral radius of the AOR iterative matrix is proved. The convergence result is a generalization of the statement from [7].