Explicit spectrum of a circulant-tridiagonal matrix with applications

Explicit spectrum of a circulant-tridiagonal matrix with applications

We 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.

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Bibliographische Detailangaben
Hauptverfasser: Kilic, Emrah, Yalciner, Aynur
Format: Tagungsbericht
Sprache:eng
Online-Zugang:Volltext
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Beschreibung
Zusammenfassung:We 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.
ISSN:0094-243X
1551-7616
DOI:10.1063/1.5114548