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

[21] CHOLESKY ALGORITHM MATRICES OF FIBONACCI TYPE AND PROPERTIES OF GENERALIZED SEQUENCES
HORADAM, AF
FILIPPONI, P
FIBONACCI QUARTERLY, 1991, 29 (02): : 164 - 173
[22] New rigorous perturbation bounds for the generalized Cholesky factorization
Li, Hanyu
Yang, Yanfei
APPLIED MATHEMATICS AND COMPUTATION, 2015, 259 : 668 - 675
[23] The generalized Cholesky factorization method for saddle point problems
Zhao, JX
APPLIED MATHEMATICS AND COMPUTATION, 1998, 92 (01) : 49 - 58
[24] Perturbation analysis for block downdating of the generalized Cholesky factorization
Li, Hanyu
Yang, Hu
Shao, Hua
APPLIED MATHEMATICS AND COMPUTATION, 2012, 218 (18) : 9451 - 9461
[25] An incomplete Cholesky factorization for dense symmetric positive definite matrices
Lin, CJ
Saigal, R
BIT NUMERICAL MATHEMATICS, 2000, 40 (03) : 536 - 558
[26] A Generalized Cholesky Decomposition for Interval Matrix
Zhao, Zhili
Li, Wei
Deng, Chongyang
Wang, Huping
ADVANCED MECHANICAL DESIGN, PTS 1-3, 2012, 479-481 : 825 - 828
[27] The Application of the Physically Based Matrix Distribution in Cholesky Factorization
Zhang, Shuai
Wang, Xing-Gang
INTERNATIONAL CONFERENCE ON COMPUTER SCIENCE AND COMMUNICATION ENGINEERING (CSCE 2015), 2015, : 415 - 419
[28] An Incomplete Cholesky Factorization for Dense Symmetric Positive Definite Matrices
Chih-Jen Lin
Romesh Saigal
BIT Numerical Mathematics, 2000, 40 : 536 - 558
[29] Symmetric Bernoulli matrix and its Cholesky decomposition
Kim, Ik-Pyo
LINEAR ALGEBRA AND ITS APPLICATIONS, 2020, 603 : 402 - 417
[30] Computing the Iwasawa decomposition of a symplectic matrix by Cholesky factorization
Tam, Tin-Yau
APPLIED MATHEMATICS LETTERS, 2006, 19 (12) : 1421 - 1424

← 1 2 3 4 5 →