On the Determinants and Inverses of Circulant Matrices with Pell and\n Pell-Lucas Numbers

2012/01/29 by Durmuş Bozkurt, Bozkurt, Durmuş, Fatih Yılmaz +1
Mathematics · Physics and Astronomy · #Advanced Combinatorial Mathematics #Advanced Mathematical Theories and Applications #FOS: Mathematics #Graph theory and applications #Numerical Analysis (math.NA)

paper · pdf · doi:10.48550/arxiv.1201.6061

openalex publication_date 2012/01/29 · openalex created_date 2025/10/24 · openalex updated_date 2026/07/28

Abstract

Let P=\∘(P₁,P₂,...,P_n) and Q=\∘(Q₁,Q₂,...,Q_n) be\nn timesn circulant matrices where P_n and Q_n are nth Pell and Pell-Lucas\nnumbers, respectively. The determinants of the matrices P and Q were expressed\nby the Pell and Pell-Lucas numbers. After, we prove that the matrices P and Q\nare the invertible for n\≥3 and then the inverses of the matrices P and Q are\nderived.\n

Related

• Determinants and Inverses of Circulant Matrices with Jacobsthal and Jacobsthal-Lucas Numbers
• On the Determinants and Inverses of Circulant Matrices with a General Number Sequence
• A general formula for determinants and inverses of r-circulant matrices with third order recurrences
• The inverse matrix of some circulant matrices
• On the properties of circulant matrices involving Generalized Tribonacci and Generalized Tribonacci-Lucas numbers