Comparison Theorems for Single and Double Splittings of Matrices
Some comparison theorems for the spectral radius of double splittings of different matrices under suitable conditions are presented, which are superior to the corresponding results in the recent paper by Miao and Zheng (2009). Some comparison theorems between the spectral radius of single and double...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2013/827826 |
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| _version_ | 1832554330441383936 |
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| author | Cui-Xia Li Qun-Fa Cui Shi-Liang Wu |
| author_facet | Cui-Xia Li Qun-Fa Cui Shi-Liang Wu |
| author_sort | Cui-Xia Li |
| collection | DOAJ |
| description | Some comparison theorems for the spectral radius of double splittings of different matrices under suitable conditions are presented, which are superior to the corresponding results in the recent paper by Miao and Zheng (2009). Some comparison theorems between the spectral radius of single and double splittings of matrices are established and are applied to the Jacobi and Gauss-Seidel double SOR method. |
| format | Article |
| id | doaj-art-fbc5251c1e41405895aef17f81101d28 |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-fbc5251c1e41405895aef17f81101d282025-02-03T05:51:52ZengWileyJournal of Applied Mathematics1110-757X1687-00422013-01-01201310.1155/2013/827826827826Comparison Theorems for Single and Double Splittings of MatricesCui-Xia Li0Qun-Fa Cui1Shi-Liang Wu2School of Mathematics and Statistics, Anyang Normal University, Anyang 455000, ChinaSchool of Mathematics and Statistics, Anyang Normal University, Anyang 455000, ChinaSchool of Mathematics and Statistics, Anyang Normal University, Anyang 455000, ChinaSome comparison theorems for the spectral radius of double splittings of different matrices under suitable conditions are presented, which are superior to the corresponding results in the recent paper by Miao and Zheng (2009). Some comparison theorems between the spectral radius of single and double splittings of matrices are established and are applied to the Jacobi and Gauss-Seidel double SOR method.http://dx.doi.org/10.1155/2013/827826 |
| spellingShingle | Cui-Xia Li Qun-Fa Cui Shi-Liang Wu Comparison Theorems for Single and Double Splittings of Matrices Journal of Applied Mathematics |
| title | Comparison Theorems for Single and Double Splittings of Matrices |
| title_full | Comparison Theorems for Single and Double Splittings of Matrices |
| title_fullStr | Comparison Theorems for Single and Double Splittings of Matrices |
| title_full_unstemmed | Comparison Theorems for Single and Double Splittings of Matrices |
| title_short | Comparison Theorems for Single and Double Splittings of Matrices |
| title_sort | comparison theorems for single and double splittings of matrices |
| url | http://dx.doi.org/10.1155/2013/827826 |
| work_keys_str_mv | AT cuixiali comparisontheoremsforsingleanddoublesplittingsofmatrices AT qunfacui comparisontheoremsforsingleanddoublesplittingsofmatrices AT shiliangwu comparisontheoremsforsingleanddoublesplittingsofmatrices |