Explicit spectrum of a circulant-tridiagonal matrix with applications

Kilic E.Yalciner A.2020-03-262020-03-2620199.78074E+120094243Xhttps://dx.doi.org/10.1063/1.5114548https://hdl.handle.net/20.500.12395/38439International Conference on Numerical Analysis and Applied Mathematics 2018, ICNAAM 2018 -- 13 September 2018 through 18 September 2018 -- 149843We consider a circulant-tridiagonal matrix and compute its determinant by using generating function method. Then we explicitly determine its spectrum. Finally we present applications of our results for trigonometric factorizations of the generalized Fibonacci and Lucas sequences. © 2019 Author(s).en10.1063/1.5114548info:eu-repo/semantics/closedAccessExplicit spectrum of a circulant-tridiagonal matrix with applicationsConference Object2116N/AWOS:000521108600528N/A