Tingting Xu, Zhaolin Jiang, "Exact Determinants of the RFPrLrR Circulant Involving Jacobsthal, Jacobsthal-Lucas, Perrin and Padovan Numbers," WSEAS Transactions on Mathematics, vol. 15, pp. 215-225, 2016, DOI:
Tingting Xu, Zhaolin Jiang. Exact Determinants of the RFPrLrR Circulant Involving Jacobsthal, Jacobsthal-Lucas, Perrin and Padovan Numbers.
WSEAS Transactions on Mathematics. 2016;15:215-225.
WSEAS Transactions on Mathematics
Print ISSN: 1109-2769, E-ISSN: 2224-2880
Volume 15, 2016
Exact Determinants of the RFPrLrR Circulant Involving Jacobsthal, Jacobsthal-Lucas, Perrin and Padovan Numbers
Authors: ,
Abstract: The row first-plus-rlast r-right (RFPrLrR) circulant matrix and row last-plus-rfirst r-left (RLPrFrL) circulant matrices are two special pattern matrices. On the basis of the beautiful properties of famous numbers and the inverse factorization of polynomial, we give the exact determinants of the two pattern matrices involving Jacobsthal, Jacobsthal-Lucas, Perrin and Padovan numbers.
Keywords:
Determinant, RFPrLrR circulant matrix, RLPrFrL circulant matrix, Jacobsthal number, Jacobsthal-Lucas number, Perrin number, Padovan number
Pages: 215-225 WSEAS Transactions on Mathematics, ISSN / E-ISSN: 1109-2769 / 2224-2880, Volume 15, 2016, Art. #21 DOI: *As the DOI is a unique identifier, it is already available in the pdf version.
**The DOI link will be activated in the first midst of January 2026.
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