Explicit Determinants of the RFPrLrR Circulant and RLPrFrL Circulant Matrices Involving Some Famous Numbers
Circulant matrices may play a crucial role in solving various differential equations. In this paper, the techniques used herein are based on the inverse factorization of polynomial. We give the explicit determinants of the RFPrLrR circulant matrices and RLPrFrL circulant matrices involving Fibonacci...
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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/10.1155/2014/647030 |
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| _version_ | 1832549849561563136 |
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| author | Tingting Xu Zhaolin Jiang Ziwu Jiang |
| author_facet | Tingting Xu Zhaolin Jiang Ziwu Jiang |
| author_sort | Tingting Xu |
| collection | DOAJ |
| description | Circulant matrices may play a crucial role in solving various differential equations. In this paper, the techniques used herein are based on the inverse factorization of polynomial. We give the explicit determinants of the RFPrLrR circulant matrices and RLPrFrL circulant matrices involving Fibonacci, Lucas, Pell, and Pell-Lucas number, respectively. |
| format | Article |
| id | doaj-art-45539d4b5b574bfbbbe7df79d5692e58 |
| 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-45539d4b5b574bfbbbe7df79d5692e582025-02-03T06:08:28ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/647030647030Explicit Determinants of the RFPrLrR Circulant and RLPrFrL Circulant Matrices Involving Some Famous NumbersTingting Xu0Zhaolin Jiang1Ziwu Jiang2Department of Mathematics, Linyi University, Linyi, Shandong 276005, ChinaDepartment of Mathematics, Linyi University, Linyi, Shandong 276005, ChinaDepartment of Mathematics, Linyi University, Linyi, Shandong 276005, ChinaCirculant matrices may play a crucial role in solving various differential equations. In this paper, the techniques used herein are based on the inverse factorization of polynomial. We give the explicit determinants of the RFPrLrR circulant matrices and RLPrFrL circulant matrices involving Fibonacci, Lucas, Pell, and Pell-Lucas number, respectively.http://dx.doi.org/10.1155/2014/647030 |
| spellingShingle | Tingting Xu Zhaolin Jiang Ziwu Jiang Explicit Determinants of the RFPrLrR Circulant and RLPrFrL Circulant Matrices Involving Some Famous Numbers Abstract and Applied Analysis |
| title | Explicit Determinants of the RFPrLrR Circulant and RLPrFrL Circulant Matrices Involving Some Famous Numbers |
| title_full | Explicit Determinants of the RFPrLrR Circulant and RLPrFrL Circulant Matrices Involving Some Famous Numbers |
| title_fullStr | Explicit Determinants of the RFPrLrR Circulant and RLPrFrL Circulant Matrices Involving Some Famous Numbers |
| title_full_unstemmed | Explicit Determinants of the RFPrLrR Circulant and RLPrFrL Circulant Matrices Involving Some Famous Numbers |
| title_short | Explicit Determinants of the RFPrLrR Circulant and RLPrFrL Circulant Matrices Involving Some Famous Numbers |
| title_sort | explicit determinants of the rfprlrr circulant and rlprfrl circulant matrices involving some famous numbers |
| url | http://dx.doi.org/10.1155/2014/647030 |
| work_keys_str_mv | AT tingtingxu explicitdeterminantsoftherfprlrrcirculantandrlprfrlcirculantmatricesinvolvingsomefamousnumbers AT zhaolinjiang explicitdeterminantsoftherfprlrrcirculantandrlprfrlcirculantmatricesinvolvingsomefamousnumbers AT ziwujiang explicitdeterminantsoftherfprlrrcirculantandrlprfrlcirculantmatricesinvolvingsomefamousnumbers |