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

Zhaolin Jiang | Zendy; Nuo Shen | Zendy; Juan Li | Zendy

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

Author(s) -

Zhaolin Jiang,

Nuo Shen,

Juan Li

Publication year - 2014

Publication title -

journal of applied mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.307

H-Index - 43

eISSN - 1687-0042

pISSN - 1110-757X

DOI - 10.1155/2014/585438

Subject(s) - circulant matrix , mathematics , factorization , inverse , combinatorics , lucas number , matrix (chemical analysis) , sequence (biology) , polynomial , pure mathematics , algebra over a field , algorithm , mathematical analysis , geometry , fibonacci number , materials science , biology , composite material , genetics

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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