Journal of applied mathematics & informatics
- Volume 22 Issue 1_2
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- Pages.169-180
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- 2006
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- 2734-1194(pISSN)
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- 2234-8417(eISSN)
MULTI SPLITTING PRECONDITIONERS FOR A SYMMETRIC POSITIVE DEFINITE MATRIX
- Yun Jae-Heon (Department of Mathematics, Institute for Basic Sciences & College of Natural Sciences, ChungBuk National University) ;
- Kim Eun-Heui (Department of Mathematics, College of Natural Sciences, ChungBuk National University) ;
- Oh Se-Young (Department of Mathematics, Chungnam National University)
- Published : 2006.09.01
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 of m-step multisplitting polynomial preconditioners which will be used in the preconditioned conjugate gradient method.
Keywords
- Multisplitting polynomial preconditioner;
- symmetric positive definite matrix;
- block diagonal conformable multisplitting;
- preconditioned conjugate gradient method