Journal of applied mathematics & informatics
- Volume 26 Issue 3_4
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- Pages.501-510
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- 2008
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- 2734-1194(pISSN)
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- 2234-8417(eISSN)
CONVERGENCE OF THE GENERALIZED MULTISPLITTING AND TWO-STAGE MULTISPLITTING METHODS
- Oh, Se-Young (Department of Mathematics, Chungnam National University) ;
- Yun, Jae-Heon (Department of Mathematics, Institute for Basic Science & College of Natural Sciences, Chungbuk National University) ;
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Han, Yu-Du
(Department of Mathematics, College of Natural Sciences, Chungbuk National University)
- Published : 2008.05.31
Abstract
In this paper, we first provide a convergence result of the generalized two-stage splitting method for solving a linear system whose coefficient matrix is an H-matrix, and then we provide convergence results of the generalized multisplitting and two-stage multisplitting methods for both a monotone matrix and an H-matrix.
Keywords
- Generalized multisplitting method;
- generalized two-stage multisplitting method;
- monotone matrix;
- H-matrix