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Bull. Korean Math. Soc. 2012; 49(5): 997-1006

Printed September 30, 2012

https://doi.org/10.4134/BKMS.2012.49.5.997

Copyright © The Korean Mathematical Society.

Convergence of multisplitting methods with preweighting for an $H$-matrix

Yu Du Han and Jae Heon Yun

Chungbuk National University, Chungbuk National University

Abstract

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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

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