Comparative study of IDR and BiCG variant methods in numerical analysis based on method of moments

In this study, we investigate the performance of the variants of the induced dimension reduction (IDR) in large-scale electromagnetic scattering problems. Comparative numerical experiments, using IDR(s), GIDR(s, L), and ML(s)BiCGSTAB reveal that GIDR(s, L) shows the fastest convergence property among the three IDR variants. In a numerical experiment with a practical radiation problem, GIDR(s, L) with an s value of around 15 shows the best performance with respect to the balance between the convergence property and the tolerance to the spurious convergence.