Cholesky Factorization of the Generalized Symmetric k- Fibonacci Matrix

被引：1

作者：

Kome, Cahit ^{[1
]}

机构：

[1] Nevsehir Haci Bektas Veli Univ, Dept Informat Technol, TR-50300 Nevsehir, Turkey

来源：

GAZI UNIVERSITY JOURNAL OF SCIENCE | 2022年 / 35卷 / 04期

关键词：

Generalized k-Fibonacci matrix; Symmetric generalized k-Fibonacci matrix; Cholesky factorization; LINEAR ALGEBRA; SEQUENCE;

D O I：

10.35378/gujs.838411

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

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.

引用

页码：1585 / 1595

页数：11

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