On Nonsingularity the Symmetric r-Circulant Matrices

被引:0
|
作者
Song, Daojin [1 ]
Zhao, Wenling [2 ]
机构
[1] Shandong Univ Technol, Sch Elect & Elect Engn, Qingdao 255049, Shandong, Peoples R China
[2] Shandong Univ Technol, Coll Sci, Qingdao 255049, Shandong, Peoples R China
关键词
Nonsingularity; Companion matrix; Symmetric r-Circulant Matrices;
D O I
10.1109/FITME.2009.89
中图分类号
TP301 [理论、方法];
学科分类号
081202 ;
摘要
Since symmetric r-circulant matrices have wide application, such as in numerical computation, signal processing, coding theory and oil investigation people have pay more and more attention to them in recent years. In this paper, motivated by [1], we give some discriminations by using only the elements in the first row of the symmetric r-circulant matrix on non singularity, and show the feasibility of these methods by an example.
引用
收藏
页码:335 / +
页数:2
相关论文
共 50 条
  • [31] A New Algorithm for Finding the Inverse and Generalized Inverse of r-Circulant Matrices
    Li, Tingting
    Lu, Quan
    Xu, Zhong
    [J]. ADVANCES IN MATRIX THEORY AND ITS APPLICATIONS, VOL II: PROCEEDINGS OF THE EIGHTH INTERNATIONAL CONFERENCE ON MATRIX THEORY AND ITS APPLICATIONS, 2008, : 184 - 187
  • [32] ON THE NORMS OF r-CIRCULANT MATRICES WITH THE HYPER-FIBONACCI AND LUCAS NUMBERS
    Bahsi, Mustafa
    Solak, Suleyman
    [J]. JOURNAL OF MATHEMATICAL INEQUALITIES, 2014, 8 (04): : 693 - 705
  • [33] A note on spectral norms of even-order r-circulant matrices
    Jiang, Zhaolin
    Zhou, Jianwei
    [J]. APPLIED MATHEMATICS AND COMPUTATION, 2015, 250 : 368 - 371
  • [34] The Improved Nonsingularity on the Scaled Factor Circulant Matrices
    Liu, Xuetting
    Wei, Peiyu
    [J]. 2009 ASIA-PACIFIC CONFERENCE ON INFORMATION PROCESSING (APCIP 2009), VOL 2, PROCEEDINGS, 2009, : 290 - +
  • [35] PSEUDOINVERSE OF AN R-CIRCULANT MATRIX
    STALLINGS, WT
    BOULLION, TL
    [J]. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1972, 34 (02) : 385 - +
  • [36] ON THE BOUNDS FOR THE SPECTRAL NORMS OF R-CIRCULANT MATRICES WITH A TYPE OF CATALAN TRIANGLE NUMBERS
    Polatli, Emrah
    [J]. JOURNAL OF SCIENCE AND ARTS, 2019, (03): : 575 - 586
  • [37] On the spectral norm of r-circulant matrices with the Pell and Pell-Lucas numbers
    Ramazan Türkmen
    Hasan Gökbaş
    [J]. Journal of Inequalities and Applications, 2016
  • [38] ON THE NORMS OF R-CIRCULANT MATRICES INVOLVING BALANCING AND LUCAS-BALANCING NUMBERS
    Prasad, Kalika
    Kumari, Munesh
    Mahato, Hrishikesh
    [J]. TWMS JOURNAL OF APPLIED AND ENGINEERING MATHEMATICS, 2024, 14 (02): : 672 - 682
  • [39] On the spectral norm of r-circulant matrices with the Pell and Pell-Lucas numbers
    Turkmen, Ramazan
    Gokbas, Hasan
    [J]. JOURNAL OF INEQUALITIES AND APPLICATIONS, 2016,
  • [40] ON THE SPECTRAL NORMS OF r-CIRCULANT AND GEOMETRIC CIRCULANT MATRICES WITH THE BI-PERIODIC HYPER-HORADAM SEQUENCE
    Belaggoun, Nassima
    Belbachir, Hacene
    [J]. JOURNAL OF MATHEMATICAL INEQUALITIES, 2023, 17 (03): : 867 - 883