Hessenberg matrices and the Pell and Perrin numbers

DOI10.1016/j.jnt.2011.02.002zbMath1272.11034OpenAlexW2028568396MaRDI QIDQ538162

Fatih Yilmaz, Durmuş Bozkurt

Publication date: 23 May 2011

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jnt.2011.02.002

zbMATH Keywords

permanentHessenberg matrixPell numberPerrin number

Mathematics Subject Classification ID

Determinants, permanents, traces, other special matrix functions (15A15) Fibonacci and Lucas numbers and polynomials and generalizations (11B39) Matrices, determinants in number theory (11C20)

Related Items (12)

Determinantal and permanental representations of Fibonacci type numbers and polynomials ⋮ Numerical algorithms for the determinant evaluation of general Hessenberg matrices ⋮ On Fibonacci-Hessenberg matrices and the Pell and Perrin numbers ⋮ Exact determinants of some special circulant matrices involving four kinds of famous numbers ⋮ Explicit determinants of the RFP\(r\)L\(r\)R circulant and RLP\(r\)F\(r\)L circulant matrices involving some famous numbers ⋮ Determinantal and permanental representations of convolved Lucas polynomials ⋮ On k-circulant matrices with arithmetic sequence ⋮ The adjacency matrix of one type of directed graph and the Jacobsthal numbers and their determinantal representation ⋮ On a homogeneous recurrence relation for the determinants of general pentadiagonal Toeplitz matrices ⋮ On \(k\)-circulant matrices involving the Pell numbers ⋮ A new method to compute the terms of generalized order-\(k\) Fibonacci numbers ⋮ Pell numbers identities from Toeplitz-Hessenberg determinants

Cites Work

• \(k\)-Lucas numbers and associated bipartite graphs
• Permanents
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