On the norms of r-circulant matrices involving balancing and Lucas-balancing numbers
Künye
Prasad, K., Kumari, M. & Mahato, H. (2024). On the norms of r-circulant matrices involving balancing and Lucas-balancing numbers. TWMS Journal Of Applied And Engineering Mathematics, 14(2), 672-682.Özet
In this article, we investigate the r-circulant matrices B[r] and C[r] involving the balancing and Lucas-balancing numbers respectively with arithmetic indices. For matrices B[r] and C[r], we establish the direct formula for the eigenvalues, the determinant, the Euclidean norm and the bound for the spectral norm. Furthermore, we extend the concept to right circulant matrices and skew-right circulant matrices and, investigate all the above results including the sum identities and divisibility.
Cilt
14Sayı
2Bağlantı
http://belgelik.isikun.edu.tr/xmlui/handle/iubelgelik/5959https://jaem.isikun.edu.tr/web/index.php/current/124-vol14no2/1205
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