Comparison Theorems of Spectral Radius for Splittings of Matrices
A class of the iteration method from the double splitting of coefficient matrix for solving the linear system is further investigated. By structuring a new matrix, the iteration matrix of the corresponding double splitting iteration method is presented. On the basis of convergence and comparison the...
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2014/573024 |
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| _version_ | 1832559782187237376 |
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| author | Cui-Xia Li Su-Hua Li |
| author_facet | Cui-Xia Li Su-Hua Li |
| author_sort | Cui-Xia Li |
| collection | DOAJ |
| description | A class of the iteration method from the double splitting of coefficient matrix for solving the linear system is further investigated. By structuring
a new matrix, the iteration matrix of the corresponding double splitting iteration method is presented. On the basis of convergence and comparison theorems for single splittings, we present some new convergence and comparison theorems on spectral radius for splittings of matrices. |
| format | Article |
| id | doaj-art-a5d9505ae7d24685832b3e746ea5313d |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-a5d9505ae7d24685832b3e746ea5313d2025-02-03T01:29:16ZengWileyJournal of Applied Mathematics1110-757X1687-00422014-01-01201410.1155/2014/573024573024Comparison Theorems of Spectral Radius for Splittings of MatricesCui-Xia Li0Su-Hua Li1School of Mathematics and Statistics, Anyang Normal University, Anyang 455000, ChinaSchool of Mathematics and Statistics, Yunnan University, Kunming 650091, ChinaA class of the iteration method from the double splitting of coefficient matrix for solving the linear system is further investigated. By structuring a new matrix, the iteration matrix of the corresponding double splitting iteration method is presented. On the basis of convergence and comparison theorems for single splittings, we present some new convergence and comparison theorems on spectral radius for splittings of matrices.http://dx.doi.org/10.1155/2014/573024 |
| spellingShingle | Cui-Xia Li Su-Hua Li Comparison Theorems of Spectral Radius for Splittings of Matrices Journal of Applied Mathematics |
| title | Comparison Theorems of Spectral Radius for Splittings of Matrices |
| title_full | Comparison Theorems of Spectral Radius for Splittings of Matrices |
| title_fullStr | Comparison Theorems of Spectral Radius for Splittings of Matrices |
| title_full_unstemmed | Comparison Theorems of Spectral Radius for Splittings of Matrices |
| title_short | Comparison Theorems of Spectral Radius for Splittings of Matrices |
| title_sort | comparison theorems of spectral radius for splittings of matrices |
| url | http://dx.doi.org/10.1155/2014/573024 |
| work_keys_str_mv | AT cuixiali comparisontheoremsofspectralradiusforsplittingsofmatrices AT suhuali comparisontheoremsofspectralradiusforsplittingsofmatrices |