J. Korean Math. Soc. 2012; 49(4): 805-827
Printed July 1, 2012
https://doi.org/10.4134/JKMS.2012.49.4.805
Copyright © The Korean Mathematical Society.
Yu Du Han and Jae Heon Yun
Chungbuk National University, Chungbuk National University
In this paper, we first study convergence of a special type of multisplitting methods with preweighting, and then we provide some comparison results of those multisplitting methods. Next, we propose both parallel implementation of an SOR-like multisplitting method with preweighting and an application of the SOR-like multisplitting method with preweighting to a parallel preconditioner of Krylov subspace method. Lastly, we provide parallel performance results of both the SOR-like multisplitting method with preweighting and Krylov subspace method with the parallel preconditioner to evaluate parallel efficiency of the proposed methods.
Keywords: multisplitting method, preweighting, preconditioner, Krylov subspace method, parallel performance
MSC numbers: 65F10, 65F15
1999; 36(1): 209-227
© 2022. The Korean Mathematical Society. Powered by INFOrang Co., Ltd