A Modified Gradient Based Algorithm for Solving Matrix Equations AXB+CXTD=F
In this paper, we develop a modified gradient based algorithm for solving matrix equations AXB+CXTD=F. Different from the gradient based method introduced by Xie et al., 2010, the information generated in the first half-iterative step is fully exploited and used to construct the approximate solution...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2014-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2014/954523 |
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| _version_ | 1832563669303558144 |
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| author | Kanmin Wang Zhibing Liu Chengfeng Xu |
| author_facet | Kanmin Wang Zhibing Liu Chengfeng Xu |
| author_sort | Kanmin Wang |
| collection | DOAJ |
| description | In this paper, we develop a modified gradient based algorithm for solving matrix equations AXB+CXTD=F. Different from the gradient based method introduced by Xie et al., 2010, the information generated in the first half-iterative step is fully exploited and used to construct the approximate solution. Theoretical analysis shows that the new method converges under certain assumptions. Numerical results are given to verify the efficiency of the new method. |
| format | Article |
| id | doaj-art-e9e7349da4e04665951f9fad7e42ef2b |
| 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-e9e7349da4e04665951f9fad7e42ef2b2025-02-03T01:12:56ZengWileyJournal of Applied Mathematics1110-757X1687-00422014-01-01201410.1155/2014/954523954523A Modified Gradient Based Algorithm for Solving Matrix Equations AXB+CXTD=FKanmin Wang0Zhibing Liu1Chengfeng Xu2Department of Mathematics, Jiujiang University, Jiujiang 332005, ChinaDepartment of Mathematics, Jiujiang University, Jiujiang 332005, ChinaDepartment of Mathematics, Jiujiang University, Jiujiang 332005, ChinaIn this paper, we develop a modified gradient based algorithm for solving matrix equations AXB+CXTD=F. Different from the gradient based method introduced by Xie et al., 2010, the information generated in the first half-iterative step is fully exploited and used to construct the approximate solution. Theoretical analysis shows that the new method converges under certain assumptions. Numerical results are given to verify the efficiency of the new method.http://dx.doi.org/10.1155/2014/954523 |
| spellingShingle | Kanmin Wang Zhibing Liu Chengfeng Xu A Modified Gradient Based Algorithm for Solving Matrix Equations AXB+CXTD=F Journal of Applied Mathematics |
| title | A Modified Gradient Based Algorithm for Solving Matrix Equations AXB+CXTD=F |
| title_full | A Modified Gradient Based Algorithm for Solving Matrix Equations AXB+CXTD=F |
| title_fullStr | A Modified Gradient Based Algorithm for Solving Matrix Equations AXB+CXTD=F |
| title_full_unstemmed | A Modified Gradient Based Algorithm for Solving Matrix Equations AXB+CXTD=F |
| title_short | A Modified Gradient Based Algorithm for Solving Matrix Equations AXB+CXTD=F |
| title_sort | modified gradient based algorithm for solving matrix equations axb cxtd f |
| url | http://dx.doi.org/10.1155/2014/954523 |
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