Modified Preconditioned GAOR Methods for Systems of Linear Equations
Three kinds of preconditioners are proposed to accelerate the generalized AOR (GAOR) method for the linear system from the generalized least squares problem. The convergence and comparison results are obtained. The comparison results show that the convergence rate of the preconditioned generalized A...
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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/10.1155/2013/850986 |
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| _version_ | 1832564581864570880 |
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| author | Xue-Feng Zhang Qun-Fa Cui Shi-Liang Wu |
| author_facet | Xue-Feng Zhang Qun-Fa Cui Shi-Liang Wu |
| author_sort | Xue-Feng Zhang |
| collection | DOAJ |
| description | Three kinds of preconditioners are proposed to accelerate the generalized AOR (GAOR) method for the linear system from the generalized least squares problem. The convergence and comparison results are obtained. The comparison results show that the convergence rate of the preconditioned generalized AOR (PGAOR) methods is better than that of the original GAOR methods. Finally, some numerical results are reported to confirm the validity of the proposed methods. |
| format | Article |
| id | doaj-art-fcb6fcd214bf4728a11301892547ed09 |
| 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-fcb6fcd214bf4728a11301892547ed092025-02-03T01:10:43ZengWileyJournal of Applied Mathematics1110-757X1687-00422013-01-01201310.1155/2013/850986850986Modified Preconditioned GAOR Methods for Systems of Linear EquationsXue-Feng Zhang0Qun-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, ChinaThree kinds of preconditioners are proposed to accelerate the generalized AOR (GAOR) method for the linear system from the generalized least squares problem. The convergence and comparison results are obtained. The comparison results show that the convergence rate of the preconditioned generalized AOR (PGAOR) methods is better than that of the original GAOR methods. Finally, some numerical results are reported to confirm the validity of the proposed methods.http://dx.doi.org/10.1155/2013/850986 |
| spellingShingle | Xue-Feng Zhang Qun-Fa Cui Shi-Liang Wu Modified Preconditioned GAOR Methods for Systems of Linear Equations Journal of Applied Mathematics |
| title | Modified Preconditioned GAOR Methods for Systems of Linear Equations |
| title_full | Modified Preconditioned GAOR Methods for Systems of Linear Equations |
| title_fullStr | Modified Preconditioned GAOR Methods for Systems of Linear Equations |
| title_full_unstemmed | Modified Preconditioned GAOR Methods for Systems of Linear Equations |
| title_short | Modified Preconditioned GAOR Methods for Systems of Linear Equations |
| title_sort | modified preconditioned gaor methods for systems of linear equations |
| url | http://dx.doi.org/10.1155/2013/850986 |
| work_keys_str_mv | AT xuefengzhang modifiedpreconditionedgaormethodsforsystemsoflinearequations AT qunfacui modifiedpreconditionedgaormethodsforsystemsoflinearequations AT shiliangwu modifiedpreconditionedgaormethodsforsystemsoflinearequations |