Cholesky Factorization of the Generalized Symmetric k- Fibonacci Matrix

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,

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