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

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  • Zhaolin Jiang
  • Nuo Shen
  • Juan Li

Abstract

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.

Suggested Citation

  • Zhaolin Jiang & Nuo Shen & Juan Li, 2014. "Determinants of the RFMLR Circulant Matrices with Perrin, Padovan, Tribonacci, and the Generalized Lucas Numbers," Journal of Applied Mathematics, Hindawi, vol. 2014, pages 1-11, January.
    • Handle: RePEc:hin:jnljam:585438
    DOI: 10.1155/2014/585438
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