Exact Inverse Matrices of Fermat and Mersenne Circulant Matrix
The well known circulant matrices are applied to solve networked systems. In this paper, circulant and left circulant matrices with the Fermat and Mersenne numbers are considered. The nonsingularity of these special matrices is discussed. Meanwhile, the exact determinants and inverse matrices of the...
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| Format: | Article |
| Language: | English |
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Wiley
2015-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2015/760823 |
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| _version_ | 1850215421637033984 |
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| author | Yanpeng Zheng Sugoog Shon |
| author_facet | Yanpeng Zheng Sugoog Shon |
| author_sort | Yanpeng Zheng |
| collection | DOAJ |
| description | The well known circulant matrices are applied to solve networked systems. In this paper, circulant and left circulant matrices with the Fermat and Mersenne numbers are considered. The nonsingularity of these special matrices is discussed. Meanwhile, the exact determinants and inverse matrices of these special matrices are presented. |
| format | Article |
| id | doaj-art-7fc051b4ece141ca8edb031cd36f35db |
| institution | OA Journals |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2015-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-7fc051b4ece141ca8edb031cd36f35db2025-08-20T02:08:36ZengWileyAbstract and Applied Analysis1085-33751687-04092015-01-01201510.1155/2015/760823760823Exact Inverse Matrices of Fermat and Mersenne Circulant MatrixYanpeng Zheng0Sugoog Shon1Department of Information and Telecommunications Engineering, The University of Suwon, Wau-ri, Bongdam-eup, Hwaseong-si, Gyeonggi-do 445-743, Republic of KoreaDepartment of Information and Telecommunications Engineering, The University of Suwon, Wau-ri, Bongdam-eup, Hwaseong-si, Gyeonggi-do 445-743, Republic of KoreaThe well known circulant matrices are applied to solve networked systems. In this paper, circulant and left circulant matrices with the Fermat and Mersenne numbers are considered. The nonsingularity of these special matrices is discussed. Meanwhile, the exact determinants and inverse matrices of these special matrices are presented.http://dx.doi.org/10.1155/2015/760823 |
| spellingShingle | Yanpeng Zheng Sugoog Shon Exact Inverse Matrices of Fermat and Mersenne Circulant Matrix Abstract and Applied Analysis |
| title | Exact Inverse Matrices of Fermat and Mersenne Circulant Matrix |
| title_full | Exact Inverse Matrices of Fermat and Mersenne Circulant Matrix |
| title_fullStr | Exact Inverse Matrices of Fermat and Mersenne Circulant Matrix |
| title_full_unstemmed | Exact Inverse Matrices of Fermat and Mersenne Circulant Matrix |
| title_short | Exact Inverse Matrices of Fermat and Mersenne Circulant Matrix |
| title_sort | exact inverse matrices of fermat and mersenne circulant matrix |
| url | http://dx.doi.org/10.1155/2015/760823 |
| work_keys_str_mv | AT yanpengzheng exactinversematricesoffermatandmersennecirculantmatrix AT sugoogshon exactinversematricesoffermatandmersennecirculantmatrix |