Optimal Backward Perturbation Analysis for the Block Skew Circulant Linear Systems with Skew Circulant Blocks
We first give the block style spectral decomposition of arbitrary block skew circulant matrix with skew circulant blocks. Secondly, we obtain the singular value of block skew circulant matrix with skew circulant blocks as well. Finally, based on the block style spectral decomposition, we deal with t...
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/523102 |
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| author | Zhaolin Jiang Juan Li Jianwei Zhou |
| author_facet | Zhaolin Jiang Juan Li Jianwei Zhou |
| author_sort | Zhaolin Jiang |
| collection | DOAJ |
| description | We first give the block style spectral decomposition of arbitrary block skew circulant matrix with skew circulant blocks. Secondly, we obtain the singular value of block skew circulant matrix with skew circulant blocks as well. Finally, based on the block style spectral decomposition, we deal with the optimal backward perturbation analysis for the block skew circulant linear system with skew circulant blocks. |
| format | Article |
| id | doaj-art-23220dd517b342839d19948e66b08aa5 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-23220dd517b342839d19948e66b08aa52025-02-03T05:52:16ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/523102523102Optimal Backward Perturbation Analysis for the Block Skew Circulant Linear Systems with Skew Circulant BlocksZhaolin Jiang0Juan Li1Jianwei Zhou2Department of Mathematics, Linyi University, Linyi, Shandong 276000, ChinaDepartment of Mathematics, Linyi University, Linyi, Shandong 276000, ChinaDepartment of Mathematics, Linyi University, Linyi, Shandong 276000, ChinaWe first give the block style spectral decomposition of arbitrary block skew circulant matrix with skew circulant blocks. Secondly, we obtain the singular value of block skew circulant matrix with skew circulant blocks as well. Finally, based on the block style spectral decomposition, we deal with the optimal backward perturbation analysis for the block skew circulant linear system with skew circulant blocks.http://dx.doi.org/10.1155/2014/523102 |
| spellingShingle | Zhaolin Jiang Juan Li Jianwei Zhou Optimal Backward Perturbation Analysis for the Block Skew Circulant Linear Systems with Skew Circulant Blocks Abstract and Applied Analysis |
| title | Optimal Backward Perturbation Analysis for the Block Skew Circulant Linear Systems with Skew Circulant Blocks |
| title_full | Optimal Backward Perturbation Analysis for the Block Skew Circulant Linear Systems with Skew Circulant Blocks |
| title_fullStr | Optimal Backward Perturbation Analysis for the Block Skew Circulant Linear Systems with Skew Circulant Blocks |
| title_full_unstemmed | Optimal Backward Perturbation Analysis for the Block Skew Circulant Linear Systems with Skew Circulant Blocks |
| title_short | Optimal Backward Perturbation Analysis for the Block Skew Circulant Linear Systems with Skew Circulant Blocks |
| title_sort | optimal backward perturbation analysis for the block skew circulant linear systems with skew circulant blocks |
| url | http://dx.doi.org/10.1155/2014/523102 |
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