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 Convergence of multisplitting methods with preweighting for an $H$-matrix Bull. Korean Math. Soc. 2012 Vol. 49, No. 5, 997-1006 https://doi.org/10.4134/BKMS.2012.49.5.997Printed September 30, 2012 Yu Du Han and Jae Heon Yun Chungbuk National University, Chungbuk National University Abstract : In this paper, we studyconvergence of multisplitting methods with preweighting for solving a linear system whose coefficient matrix is an $H$-matrix corresponding to both the AOR multisplitting and the SSOR multisplitting. Numerical results are also provided to confirm theoretical results for the convergence of multisplitting methods with preweighting. Keywords : multisplitting method, preweighting, AOR multisplitting, SSOR multisplitting, $H$-matrix MSC numbers : 65F10, 65F15 Downloads: Full-text PDF