Reduction formulas for permanents and determinants of k-tridiagonal Toeplitz matrices
Küçük Resim Yok
Tarih
2024-12-25
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Indian National Science Academy
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
This study presents some results on the permanents of k-tridiagonal matrices with the Toeplitz structure. Our investigation establishes significant connections between the permanents of this matrix family and their reduced forms in terms of bandwidth and order. We extend the investigation also to the determinants of this matrix family in this context. Moreover, we demonstrate that some subforms of k-tridiagonal Toeplitz permanents can be effectively computed using the Pascal and Lucas triangles. Finally, we make a significant contribution by revealing an integer sequence related to Fibonacci numbers, derived by analyzing the permanents of some subforms of k-tridiagonal Toeplitz matrices.
Açıklama
Anahtar Kelimeler
Determinant, Fibonacci numbers, k-tridiagonal matrix, Lucas triangle, Pascal triangle, Permanent, Toeplitz matrix
Kaynak
Indian Journal of Pure and Applied Mathematics
WoS Q Değeri
Q4
Scopus Q Değeri
Q3
Cilt
Sayı
Künye
Küçük, A.Z. (2024). Reduction formulas for permanents and determinants of k-tridiagonal Toeplitz matrices. Indian Journal of Pure and Applied Mathematics.
