2012/01/29 by Durmuş Bozkurt, Bozkurt, Durmuş, Tin-Yau Tam +1
Computer Science · Mathematics · Physics and Astronomy · #Advanced Mathematical Theories and Applications #FOS: Mathematics #Graph Labeling and Dimension Problems #Graph theory and applications #Numerical Analysis (math.NA)
paper · pdf · doi:10.48550/arxiv.1201.6058
openalex publication_date 2012/01/29 · openalex created_date 2019/06/27 · openalex updated_date 2026/07/28
Let n≥3 and Jn:=circ(J1,J2,...,Jn) and jn:=∘(j0,j1,...,jn-1) be the n\timesn circulant matrices, associated with the nth Jacobsthal number Jn and the nth Jacobsthal-Lucas number jn, respectively. The determinants of Jn and jn are obtained in terms of the Jacobsthal and Jacobsthal-Lucas numbers. These imply that Jn and jn are invertible. We also derive the inverses of Jn and jn.