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

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

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, Tribo...

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Veröffentlicht in:Journal of Applied Mathematics 2014-01, Vol.2014 (2014), p.410-420-544
Hauptverfasser: Jiang, Zhao-lin, Shen, Nuo, Li, Juan
Format: Artikel
Sprache:eng
Schlagworte:
Determinants
Factorization
Inverse
Mathematical analysis
Mathematical research
Matrices
Matrices (mathematics)
Matrix methods
Polynomials
Sequences
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Zusammenfassung: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.
ISSN:1110-757X
1687-0042
DOI:10.1155/2014/585438