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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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.

Article information

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

Dates
First available in Project Euclid: 26 March 2014

Permanent link to this document
https://projecteuclid.org/euclid.jam/1395855294

Digital Object Identifier
doi:10.1155/2014/585438

Mathematical Reviews number (MathSciNet)
MR3166775

Zentralblatt MATH identifier
07010687

Citation

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. https://projecteuclid.org/euclid.jam/1395855294


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