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http://dx.doi.org/10.5831/HMJ.2016.38.4.725

CIRCULANT AND NEGACYCLIC MATRICES VIA TETRANACCI NUMBERS  

Ozkoc, Arzu (Duzce University, Faculty of Science and Art, Department of Mathematics Konuralp)
Ardiyok, Elif (Duzce University, Faculty of Science and Art, Department of Mathematics Konuralp)
Publication Information
Honam Mathematical Journal / v.38, no.4, 2016 , pp. 725-738 More about this Journal
Abstract
In this paper, the explicit determinants of the circulant and negacyclic matrix involving Tetranacci sequence $M_n$ and Companion-Tetranacci sequence $K_n$ are expressed by using only Tetranacci sequence $M_n$ and Companion-Tetranacci sequence $K_n$. Also euclidean norms and spectral norms of circulant and negacyclic matrices have been obtained.
Keywords
circulant matrix; negacyclic matrix; Tetranacci numbers; norm; determinant;
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