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Jiang, Xiaoyu; Hong, Kicheon

Exact determinants of some special circulant matrices involving four kinds of famous numbers. (English) Zbl 1472.15006

Abstr. Appl. Anal. 2014, Article ID 273680, 12 p. (2014).
Summary: Circulant matrix family is used for modeling many problems arising in solving various differential equations. The RSFPLR circulant matrices and RSLPFL circulant matrices are two special circulant matrices. The techniques used herein are based on the inverse factorization of polynomial. The exact determinants of these matrices involving Perrin, Padovan, Tribonacci, and the generalized Lucas number are given, respectively.

Cited in 16 Documents

MSC:

15A15 Determinants, permanents, traces, other special matrix functions
15B05 Toeplitz, Cauchy, and related matrices
11C20 Matrices, determinants in number theory
11B39 Fibonacci and Lucas numbers and polynomials and generalizations

Keywords:

circulant matrices; Perrin numbers; Padovan numbers; tribonacci numbers; Lucas numbers
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References:

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