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Cholesky Factorization of the Generalized Symmetric k- Fibonacci Matrix
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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.
Title: Cholesky Factorization of the Generalized Symmetric k- Fibonacci Matrix
Description:
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.
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