Bulletin of the
Korean Mathematical Society BKMS

In this paper, we study the convergence of relaxed two-stage multisplitting method using $H$-compatible splittings or SOR multisplitting as inner splittings and an outer splitting for solving a linear system whose coefficient matrix is an $H$-matrix. We also provide numerical experiments for the convergence of the relaxed two-stage multisplitting method.

Keywords: $H$-compatible splitting, SOR multisplitting, relaxed two-stage multisplitting method, $H$-matrix

MSC numbers: Primary 65F10, 65F15