Cholesky Factorization of the Generalized Symmetric k- Fibonacci Matrix

Year 2022, Volume: 35 Issue: 4 , 1585 - 1595 , 01.12.2022

Cahit Köme

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

Cited By: 1

https://izlik.org/JA25WR57DA

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

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