Determinant and Permanent of Hessenberg Matrix and Generalized Lucas Polynomials

Details Determinant and Permanent of Hessenberg Matrix and Generalized Lucas Polynomials Determinant and Permanent of Hessenberg Matrix and Generalized Lucas Polynomials

2011-11-17

arxiv.org/abs/1111.4067v1

Mathematics

Number Theory

Scientific paper

In this paper, we give some determinantal and permanental representations of
Generalized Lucas Polynomials by using various Hessenberg matrices, which are
general form of determinantal and permanental representations of ordinary Lucas
and Perrin sequences. Then we show, under what conditions that the determinants
of the Hessenberg matrix becomes its permanents.

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