The determinant and a factorization of a Toeplitz matrix with some type of Horadam numbers entries
Carlos M. da Fonseca, Can Kizilates, Nazlihan Terzioglu
article (Uluslararası, Hakemli) | Yazar(lar): Carlos M. da Fonseca, Can Kizilates, Nazlihan Terzioglu | Yıl: 2025 | Dergi/Kurum: LOGIC JOURNAL OF THE IGPL | İndeks: WOS.SCI | DOI: 10.1093/jigpal/jzae065 | Anahtar Kelimeler: Toeplitz matrix, Horadam sequence, Fibonacci numbers, Pentadiagonal matrix, Inverse matrix, 2000
In this note, we define a symmetric Toeplitz matrix whose entries are from a particular Horadam sequence. We provide the determinant, the inverse and a factorization for such matrices and their special cases. These matrices are always nonsingular and their inverses are pentadiagonal matrices.