On the spectral norms of circulant matrices with classical Fibonacci and Lucas numbers entries

被引：35
|
作者：
Ipek, Ahmet [1 ]
机构：
[1] Mustafa Kemal Univ, Fac Art & Sci, Dept Math, Antakya, Turkey
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2011年 / 217卷 / 12期
关键词：
Spectral norm; Circulant matrices; Fibonacci numbers; Lucas numbers;
D O I：
10.1016/j.amc.2010.12.094
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper is an improving of the work [S. Solak, On the norms of circulant matrices with the Fibonacci and Lucas numbers, Appl. Math. Comp. 160 (2005), 125-132], in which the lower and upper bounds for the spectral norms of the matrices A = [F-(mod(j-i,F-n))](i,j-1)(n) and B = [L-(mod(j-i,L-n))](i,j-1)(n) are established. In this new paper, we compute the spectral norms of these matrices. (C) 2010 Elsevier Inc. All rights reserved.
引用
收藏
页码：6011 / 6012
页数：2
相关论文
共 50 条
  • [41] On the spectral norm of r-circulant matrices with the Pell and Pell-Lucas numbers
    Ramazan Türkmen
    Hasan Gökbaş
    Journal of Inequalities and Applications, 2016
  • [42] Determinants of circulant matrices with Gaussian Nickel Fibonacci numbers
    Yilmaz, Fatih
    Ertas, Aybuke
    Akbiyik, Seda Yamac
    FILOMAT, 2023, 37 (25) : 8683 - 8692
  • [43] ON K-CIRCULANT MATRICES INVOLVING THE FIBONACCI NUMBERS
    Radicic, Biljana
    MISKOLC MATHEMATICAL NOTES, 2018, 19 (01) : 505 - 515
  • [44] Determinants and inverses of circulant matrices with complex Fibonacci numbers
    Altinisik, Ercan
    Yalcin, N. Feyza
    Buyukkose, Serife
    SPECIAL MATRICES, 2015, 3 (01): : 82 - 90
  • [45] DETERMINANTS, NORMS AND SPREADS OF SKEW CIRCULANT MATRICES INVOLVING THE SUM OF PELL AND PELL-LUCAS NUMBERS
    Wei, Yunlan
    Zheng, Yanpeng
    Jiang, Zhaolin
    Shon, Sugoog
    ADVANCES AND APPLICATIONS IN DISCRETE MATHEMATICS, 2020, 23 (01): : 13 - 24
  • [46] A New Method of Matrix Decomposition to Get the Determinants and Inverses of r-Circulant Matrices with Fibonacci and Lucas Numbers
    Ma, Jiangming
    Qiu, Tao
    He, Chengyuan
    JOURNAL OF MATHEMATICS, 2021, 2021
  • [47] Some spectral norms of RFPrLrR circulant matrices
    Shi, Baijuan
    Kizilates, Can
    FILOMAT, 2023, 37 (13) : 4221 - 4238
  • [48] Invertibility and Explicit Inverses of Circulant-Type Matrices with k-Fibonacci and k-Lucas Numbers
    Jiang, Zhaolin
    Gong, Yanpeng
    Gao, Yun
    ABSTRACT AND APPLIED ANALYSIS, 2014,
  • [49] On the bounds for the spectral norms of geometric circulant matrices
    Kizilates, Can
    Tuglu, Naim
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2016,
  • [50] Permanent of Toeplitz-Hessenberg Matrices with Generalized Fibonacci and Lucas entries
    Belbachir, Hacene
    Belkhir, Amine
    Djellas, Ihab-Eddine
    APPLICATIONS AND APPLIED MATHEMATICS-AN INTERNATIONAL JOURNAL, 2022, 17 (02): : 558 - 570
12345