Abstract
In this paper, we study the convergence of both relaxed multisplitting method and nonstationary two-stage multisplitting method associated with a multisplitting which is obtained from the ILU factorizations for solving a linear system whose coefficient matrix is anH-matrix. Also, parallel performance results of nonstaionary two-stage multisplitting method using ILU factorizations as inner splittings on the IBM p690 supercomputer are provided to analyze theoretical results.
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Jae Heon Yun received M.Sc. from Kyungpook National University, and Ph.D. from Iowa State University. He is currently a professor at Chungbuk National University since 1991. His research interests are computational mathematics, iterative method and parallel computation.
SeYoung Oh received M.Sc. from Seoul National University and Ph.D at University of Minnesota. Since 1992 he has been at Chungnam National University. His research interests include numerical optimization and biological computation.
Eun Heui Kim received M.Sc. in Applied Mathematics from Chungbuk National University. She is currently a temporary instructor at Chungbuk National University.
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Yun, J.H., Oh, S. & Kim, E.H. Convergence of parallel multisplitting methods using ILU factorizations. JAMC 15, 77–90 (2004). https://doi.org/10.1007/BF02935747
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DOI: https://doi.org/10.1007/BF02935747