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

共 50 条

[1] A factorization of the symmetric Pascal matrix involving the Fibonacci matrix
Zhang, Zhizheng
Wang, Xin
DISCRETE APPLIED MATHEMATICS, 2007, 155 (17) : 2371 - 2376
[2] On k- generalized Fibonacci Diophantine triples
Irmak, Nurettin
MATHEMATICAL COMMUNICATIONS, 2024, 29 (02) : 203 - 216
[3] Efficient implementation of a generalized Cholesky factorization for Symmetric Galerkin Boundary Element Methods
S. Miccoli
Computational Mechanics, 2003, 32 : 362 - 369
[4] Efficient implementation of a generalized Cholesky factorization for Symmetric Galerkin Boundary Element Methods
Miccoli, S
COMPUTATIONAL MECHANICS, 2003, 32 (4-6) : 362 - 369
[5] On the K-generalized Fibonacci matrix Q(k)(*)
Lee, GY
Lee, SG
Shin, HG
LINEAR ALGEBRA AND ITS APPLICATIONS, 1997, 251 : 73 - 88
[6] On the K-generalized Fibonacci matrix Q*k
Lee, G.-Y.
Lee, S.-G.
Shin, H.-G.
Linear Algebra and Its Applications, 1997, 251
[7] RIGOROUS MULTIPLICATIVE PERTURBATION BOUNDS FOR THE GENERALIZED CHOLESKY FACTORIZATION AND THE CHOLESKY-LIKE FACTORIZATION
Li, Hanyu
Yang, Yanfei
JOURNAL OF MATHEMATICAL INEQUALITIES, 2014, 8 (04): : 925 - 937
[8] Perturbation analysis for the generalized Cholesky factorization
Wang, WG
Zhao, JX
APPLIED MATHEMATICS AND COMPUTATION, 2004, 147 (02) : 601 - 606
[9] Sensitivity analysis for the generalized Cholesky factorization
Samar, Mahvish
Farooq, Aamir
Li, Hanyu
Mu, Chunlai
APPLIED MATHEMATICS AND COMPUTATION, 2019, 362
[10] Cholesky, Toeplitz and the triangular factorization of symmetric matrices
Taussky, O
Todd, J
NUMERICAL ALGORITHMS, 2006, 41 (02) : 197 - 202

← 1 2 3 4 5 →