Explicit Form of the Inverse Matrices of Tribonacci Circulant Type Matrices
It is a hot topic that circulant type matrices are applied to networks engineering. The determinants and inverses of Tribonacci circulant type matrices are discussed in the paper. Firstly, Tribonacci circulant type matrices are defined. In addition, we show the invertibility of Tribonacci circulant...
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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/10.1155/2015/169726 |
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| author | Li Liu Zhaolin Jiang |
| author_facet | Li Liu Zhaolin Jiang |
| author_sort | Li Liu |
| collection | DOAJ |
| description | It is a hot topic that circulant type matrices are applied to networks engineering. The determinants
and inverses of Tribonacci circulant type matrices are discussed in the paper. Firstly, Tribonacci
circulant type matrices are defined. In addition, we show the invertibility of Tribonacci circulant
matrix and present the determinant and the inverse matrix based on constructing the transformation
matrices. By utilizing the relation between left circulant, g-circulant matrices and circulant matrix,
the invertibility of Tribonacci left circulant and Tribonacci g-circulant matrices is also discussed.
Finally, the determinants and inverse matrices of these matrices are given, respectively. |
| format | Article |
| id | doaj-art-03183e32943d4900b61e3087d787a777 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2015-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-03183e32943d4900b61e3087d787a7772025-02-03T06:01:39ZengWileyAbstract and Applied Analysis1085-33751687-04092015-01-01201510.1155/2015/169726169726Explicit Form of the Inverse Matrices of Tribonacci Circulant Type MatricesLi Liu0Zhaolin Jiang1Department of Mathematics, Linyi University, Linyi, Shandong 276000, ChinaDepartment of Mathematics, Linyi University, Linyi, Shandong 276000, ChinaIt is a hot topic that circulant type matrices are applied to networks engineering. The determinants and inverses of Tribonacci circulant type matrices are discussed in the paper. Firstly, Tribonacci circulant type matrices are defined. In addition, we show the invertibility of Tribonacci circulant matrix and present the determinant and the inverse matrix based on constructing the transformation matrices. By utilizing the relation between left circulant, g-circulant matrices and circulant matrix, the invertibility of Tribonacci left circulant and Tribonacci g-circulant matrices is also discussed. Finally, the determinants and inverse matrices of these matrices are given, respectively.http://dx.doi.org/10.1155/2015/169726 |
| spellingShingle | Li Liu Zhaolin Jiang Explicit Form of the Inverse Matrices of Tribonacci Circulant Type Matrices Abstract and Applied Analysis |
| title | Explicit Form of the Inverse Matrices of Tribonacci Circulant Type Matrices |
| title_full | Explicit Form of the Inverse Matrices of Tribonacci Circulant Type Matrices |
| title_fullStr | Explicit Form of the Inverse Matrices of Tribonacci Circulant Type Matrices |
| title_full_unstemmed | Explicit Form of the Inverse Matrices of Tribonacci Circulant Type Matrices |
| title_short | Explicit Form of the Inverse Matrices of Tribonacci Circulant Type Matrices |
| title_sort | explicit form of the inverse matrices of tribonacci circulant type matrices |
| url | http://dx.doi.org/10.1155/2015/169726 |
| work_keys_str_mv | AT liliu explicitformoftheinversematricesoftribonaccicirculanttypematrices AT zhaolinjiang explicitformoftheinversematricesoftribonaccicirculanttypematrices |