Journal of Applied Mathematics

Determinants of the RFMLR Circulant Matrices with Perrin, Padovan, Tribonacci, and the Generalized Lucas Numbers

Zhaolin Jiang, Nuo Shen, and Juan Li

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The row first-minus-last right (RFMLR) circulant matrix and row last-minus-first left (RLMFL) circulant matrices are two special pattern matrices. By using the inverse factorization of polynomial, we give the exact formulae of determinants of the two pattern matrices involving Perrin, Padovan, Tribonacci, and the generalized Lucas sequences in terms of finite many terms of these sequences.

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J. Appl. Math., Volume 2014 (2014), Article ID 585438, 11 pages.

First available in Project Euclid: 26 March 2014

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Jiang, Zhaolin; Shen, Nuo; Li, Juan. Determinants of the RFMLR Circulant Matrices with Perrin, Padovan, Tribonacci, and the Generalized Lucas Numbers. J. Appl. Math. 2014 (2014), Article ID 585438, 11 pages. doi:10.1155/2014/585438.

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