Preconditioning of the GMRES method for Z-matrices
Z-matrices, Krylov Methods, GMRES, GMRES(m), ILU (0) Preconditioner.
This study aims to investigate the convergence behavior of the GMRES (Gene-
ralized Minimal Residual) method and its version GMRES(m), without and with
preconditioner ILU(0) applied to sparse non-symmetric linear systems. Our main
interest is to see if the behavior of these algorithms can be influenced by the struc-
ture of the matrices considered, in particular, the Z-matrices. Furthermore, the
influence of the choice of the degree of sparsity. Among the observed parameters,
we focus on the spectral radius of these matrices, as well as the relative residual
norm obtained by these algorithms.