Convergence analysis of modified iterative methods to solve linear systems (Q464363)
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scientific article; zbMATH DE number 6358087
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Convergence analysis of modified iterative methods to solve linear systems |
scientific article; zbMATH DE number 6358087 |
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Convergence analysis of modified iterative methods to solve linear systems (English)
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17 October 2014
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The authors consider the Accelerated OverRelaxation method (AOR), proposed by \textit{A. Hadjidimos} [Math. Comput. 32, 149--157 (1978; Zbl 0382.65015)]. They show that the classic form of AOR is better than the method proposed by \textit{M. Dehghan} and \textit{M. Hajarian} [``Modied AOR iterative methods to solve linear systems'', J. Vib. Control 20, No. 5, 661--669 (2014)], as well as that \textit{J. P. Milaszewicz}'s preconditioners [Linear Algebra Appl. 93, 161--170 (1987; Zbl 0628.65022)] are superior to the Dehghan and Hajarian ones.
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iterative methods
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preconditioning
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comparison theorems
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spectral radius
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irreducible matrix
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AOR
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\(M\)-matrix
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