A note on k-circulant matrices with the generalized third-order Jacobsthal numbers
Advanced Studies: Euro-Tbilisi Mathematical Journal, cilt.17, sa.4, ss.81-101, 2024 (ESCI, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 17 Sayı: 4
- Basım Tarihi: 2024
- Doi Numarası: 10.32513/asetmj/1932200824041
- Dergi Adı: Advanced Studies: Euro-Tbilisi Mathematical Journal
- Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus
- Sayfa Sayıları: ss.81-101
- Anahtar Kelimeler: third-order Jacobsthal numbers, circulant matrix, k-circulant matrix, Tribonacci numbers, norm, spectral norm, determinant
- Kırklareli Üniversitesi Adresli: Evet
Özet
In this study, we obtain explicit forms of the sum of entries, the maximum column sum matrix norm, the maximum row sum matrix norm, Euclidean norm, eigenvalues and determinant of k-circulant matrix with the generalized third-order Jacobsthal numbers. We also study the spectral norm of this k-circulant matrix.