Exact Determinants of Some Special Circulant Matrices Involving Four Kinds of Famous Numbers
Circulant matrix family is used for modeling many problems arising in solving various differential equations. The RSFPLR circulant matrices and RSLPFL circulant matrices are two special circulant matrices. The techniques used herein are based on the inverse factorization of polynomial. The exact det...
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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/10.1155/2014/273680 |
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| _version_ | 1832551904881672192 |
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| author | Xiaoyu Jiang Kicheon Hong |
| author_facet | Xiaoyu Jiang Kicheon Hong |
| author_sort | Xiaoyu Jiang |
| collection | DOAJ |
| description | Circulant matrix family is used for modeling many problems arising in solving various differential equations. The RSFPLR circulant matrices and RSLPFL circulant matrices are two special circulant matrices. The techniques used herein are based on the inverse factorization of polynomial. The exact determinants of these matrices involving Perrin, Padovan, Tribonacci, and the generalized Lucas number are given, respectively. |
| format | Article |
| id | doaj-art-c979dadfe54f4624b142c77dd96ba250 |
| 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-c979dadfe54f4624b142c77dd96ba2502025-02-03T06:00:16ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/273680273680Exact Determinants of Some Special Circulant Matrices Involving Four Kinds of Famous NumbersXiaoyu Jiang0Kicheon Hong1Department of Information and Telecommunications Engineering, University of Suwon, Wau-ri, Bongdam-eup, Hwaseong-si, Gyeonggi-do 445-743, Republic of KoreaDepartment of Information and Telecommunications Engineering, University of Suwon, Wau-ri, Bongdam-eup, Hwaseong-si, Gyeonggi-do 445-743, Republic of KoreaCirculant matrix family is used for modeling many problems arising in solving various differential equations. The RSFPLR circulant matrices and RSLPFL circulant matrices are two special circulant matrices. The techniques used herein are based on the inverse factorization of polynomial. The exact determinants of these matrices involving Perrin, Padovan, Tribonacci, and the generalized Lucas number are given, respectively.http://dx.doi.org/10.1155/2014/273680 |
| spellingShingle | Xiaoyu Jiang Kicheon Hong Exact Determinants of Some Special Circulant Matrices Involving Four Kinds of Famous Numbers Abstract and Applied Analysis |
| title | Exact Determinants of Some Special Circulant Matrices Involving Four Kinds of Famous Numbers |
| title_full | Exact Determinants of Some Special Circulant Matrices Involving Four Kinds of Famous Numbers |
| title_fullStr | Exact Determinants of Some Special Circulant Matrices Involving Four Kinds of Famous Numbers |
| title_full_unstemmed | Exact Determinants of Some Special Circulant Matrices Involving Four Kinds of Famous Numbers |
| title_short | Exact Determinants of Some Special Circulant Matrices Involving Four Kinds of Famous Numbers |
| title_sort | exact determinants of some special circulant matrices involving four kinds of famous numbers |
| url | http://dx.doi.org/10.1155/2014/273680 |
| work_keys_str_mv | AT xiaoyujiang exactdeterminantsofsomespecialcirculantmatricesinvolvingfourkindsoffamousnumbers AT kicheonhong exactdeterminantsofsomespecialcirculantmatricesinvolvingfourkindsoffamousnumbers |