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Multisplitting preconditioners for a symmetric positive definite matrix |
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| 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. |
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