Gaussian Fibonacci Circulant Type Matrices

被引:3
|
作者
Jiang, Zhaolin [1 ]
Xin, Hongxia [1 ,2 ]
Lu, Fuliang [1 ]
机构
[1] Linyi Univ, Dept Math, Linyi 276000, Shandong, Peoples R China
[2] Shandong Normal Univ, Dept Math, Jinan 250014, Shandong, Peoples R China
关键词
INTEGRAL-EQUATIONS; DETERMINANTS;
D O I
10.1155/2014/592782
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
Circulant matrices have become important tools in solving integrable system, Hamiltonian structure, and integral equations. In this paper, we prove that Gaussian Fibonacci circulant type matrices are invertible matrices for n > 2 and give the explicit determinants and the inverse matrices. Furthermore, the upper bounds for the spread on Gaussian Fibonacci circulant and left circulant matrices are presented, respectively.
引用
收藏
页数:10
相关论文
共 50 条
  • [11] ON THE NORMS OF CIRCULANT MATRICES WITH THE GENERALIZED FIBONACCI AND LUCAS NUMBERS
    Bahsi, Mustafa
    TWMS JOURNAL OF PURE AND APPLIED MATHEMATICS, 2015, 6 (01): : 84 - 92
  • [12] ON K-CIRCULANT MATRICES INVOLVING THE FIBONACCI NUMBERS
    Radicic, Biljana
    MISKOLC MATHEMATICAL NOTES, 2018, 19 (01) : 505 - 515
  • [13] On the determinants and inverses of circulant matrices with Fibonacci and Lucas numbers
    Shen, Shou-Qiang
    Cen, Jian-Miao
    Hao, Yong
    APPLIED MATHEMATICS AND COMPUTATION, 2011, 217 (23) : 9790 - 9797
  • [14] On the norms of circulant matrices with the complex fibonacci and lucas numbers
    N.E. University, A.K. Education Faculty, Meram
    Konya
    42090, Turkey
    不详
    GU J. Sci., 2 (487-490):
  • [15] Determinants and inverses of circulant matrices with complex Fibonacci numbers
    Altinisik, Ercan
    Yalcin, N. Feyza
    Buyukkose, Serife
    SPECIAL MATRICES, 2015, 3 (01): : 82 - 90
  • [16] On The Norms Of Circulant Matrices With The Complex Fibonacci And Lucas Numbers
    Solak, Suleyman
    Bahsi, Mustafa
    GAZI UNIVERSITY JOURNAL OF SCIENCE, 2016, 29 (02): : 487 - 490
  • [17] A UNIFORM UNCERTAINTY PRINCIPLE FOR GAUSSIAN CIRCULANT MATRICES
    Romberg, Justin
    2009 16TH INTERNATIONAL CONFERENCE ON DIGITAL SIGNAL PROCESSING, VOLS 1 AND 2, 2009, : 9 - 13
  • [18] Fast binary embeddings with Gaussian circulant matrices
    Dirksen, Sjoerd
    Stollenwerk, Alexander
    2017 INTERNATIONAL CONFERENCE ON SAMPLING THEORY AND APPLICATIONS (SAMPTA), 2017, : 231 - 235
  • [19] Right circulant matrices with ratio of the elements of Fibonacci and geometric sequence
    Bueno, Aldous Cesar F.
    NOTES ON NUMBER THEORY AND DISCRETE MATHEMATICS, 2016, 22 (03) : 79 - 83
  • [20] On bounds for the norms of circulant matrices with the generalized Fibonacci and Lucas numbers
    Sozer, Musa
    Ipek, Ahmet
    Kilicoglu, Oguz
    ARS COMBINATORIA, 2011, 102 : 399 - 416