Cholesky Factorization of the Generalized Symmetric k- Fibonacci Matrix

Authors : Cahit KÖME

Pages : 1585-1595

Doi:10.35378/gujs.838411

View : 10 | Download : 7

Publication Date : 2022-12-01

Article Type : Research Paper

Abstract :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.
Keywords : Generalized k Fibonacci matrix, Symmetric generalized k Fibonacci matrix, Cholesky factorization