Cholesky Factorization of the Generalized Symmetric k- Fibonacci Matrix

Yıl 2022, Cilt: 35 Sayı: 4, 1585 - 1595, 01.12.2022

Cahit Köme

https://doi.org/10.35378/gujs.838411

Cited By: 1

Öz

Matrix methods are a useful tool while dealing with many problems stemming from linear recurrence relations. In this paper, we discuss factorizations and inverse factorizations of two kinds of generalized k-Fibonacci matrices. We derive some useful identities of the k-Fibonacci sequence. We investigate the Cholesky factorization of the generalized symmetric k-Fibonacci matrix by using these identities.

Anahtar Kelimeler

Generalized k-Fibonacci matrix, Symmetric generalized k-Fibonacci matrix, Cholesky factorization

Kaynakça

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