On Fibonacci-Hessenberg matrices and the Pell and Perrin numbers

被引:11
|
作者
Li, Hsuan-Chu [1 ]
机构
[1] Jen Teh Jr Coll Med Nursing & Management, Dept Med Technol, Miaoli, Taiwan
关键词
Fibonacci-Hessenberg matrix; Determinant; Pell number; Perrin number;
D O I
10.1016/j.amc.2012.01.062
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, we obtain three new Fibonacci-Hessenberg matrices and give another proofs of two well-known results relative to the Pell and Perrin numbers. Moreover, we revise one of them. (C) 2012 Elsevier Inc. All rights reserved.
引用
收藏
页码:8353 / 8358
页数:6
相关论文
共 50 条
  • [21] Bipartite Graphs Associated with Pell, Mersenne and Perrin Numbers
    Oteles, Ahmet
    ANALELE STIINTIFICE ALE UNIVERSITATII OVIDIUS CONSTANTA-SERIA MATEMATICA, 2019, 27 (02): : 109 - 120
  • [22] Common terms of k-Pell numbers and Padovan or Perrin numbers
    Benedict Vasco Normenyo
    Salah Eddine Rihane
    Alain Togbé
    Arabian Journal of Mathematics, 2023, 12 : 219 - 232
  • [23] Common terms of k-Pell numbers and Padovan or Perrin numbers
    Normenyo, Benedict Vasco
    Rihane, Salah Eddine
    Togbe, Alain
    ARABIAN JOURNAL OF MATHEMATICS, 2023, 12 (01) : 219 - 232
  • [24] k-Fibonacci numbers which are Padovan or Perrin numbers
    Salah Eddine Rihane
    Alain Togbé
    Indian Journal of Pure and Applied Mathematics, 2023, 54 : 568 - 582
  • [25] k-Fibonacci numbers which are Padovan or Perrin numbers
    Rihane, Salah Eddine
    Togbe, Alain
    INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS, 2023, 54 (02): : 568 - 582
  • [26] On Hessenberg and pentadiagonal determinants related with Fibonacci and Fibonacci-like numbers
    Ipek, Ahmet
    Ari, Kamil
    APPLIED MATHEMATICS AND COMPUTATION, 2014, 229 : 433 - 439
  • [27] SOLUTIONS - A determinant with Fibonacci, Lucas and Pell numbers
    Cook, Charles K.
    FIBONACCI QUARTERLY, 2007, 45 (02): : 188 - 188
  • [28] THE MATRICES OF FIBONACCI NUMBERS
    ER, MC
    FIBONACCI QUARTERLY, 1984, 22 (02): : 134 - 139
  • [29] ON THE INTERSECTION OF k-FIBONACCI AND PELL NUMBERS
    Bravo, Jhon J.
    Gomez, Carlos A.
    Herrera, Jose L.
    BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY, 2019, 56 (02) : 535 - 547
  • [30] On the connections between Pell numbers and Fibonacci p-numbers
    Shannon, Anthony G.
    Erdag, Ozgur
    Deveci, Omur
    NOTES ON NUMBER THEORY AND DISCRETE MATHEMATICS, 2021, 27 (01) : 148 - 160