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Multisplitting preconditioners for a symmetric positive definite matrix
Authors:Jae Heon Yun  Eun Heui Kim  SeYoung Oh
Institution:1. Department of Mathematics, Institute for Basic Sciences & College of Natural Sciences, Chungbuk National University, 361-763, Cheongju, Korea
2. Department of Mathematics, College of Natural Sciences, Chungbuk National University, 361-763, Cheongju, Korea
3. Department of Mathematics, Chungnam National University, 305-764, Daejeon, Korea
Abstract:We study convergence of multisplitting method associated with a block diagonal conformable multisplitting for solving a linear system whose coefficient matrix is a symmetric positive definite matrix which is not an H-matrix. Next, we study the validity ofm-step multisplitting polynomial preconditioners which will be used in the preconditioned conjugate gradient method.
Keywords:
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