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 Convergence of relaxed two-stage multisplitting method using an outer splitting Bull. Korean Math. Soc. 2010 Vol. 47, No. 4, 727-741 https://doi.org/10.4134/BKMS.2010.47.4.727Published online July 1, 2010 Jae Heon Yun Chungbuk National University Abstract : 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 Full-Text :