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http://dx.doi.org/10.4134/JKMS.2012.49.4.805

PARALLEL PERFORMANCE OF MULTISPLITTING METHODS WITH PREWEIGHTING  

Han, Yu-Du (Department of Mathematics College of Natural Sciences Chungbuk National University)
Yun, Jae-Heon (Department of Mathematics College of Natural Sciences Chungbuk National University)
Publication Information
Journal of the Korean Mathematical Society / v.49, no.4, 2012 , pp. 805-827 More about this Journal
Abstract
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;
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