The Nonsingularity on the r-Circulant Matrices

被引:0
|
作者
Li, Hongkui [1 ]
Liu, Xuetting [2 ]
机构
[1] Shandong Univ Technol, Coll Sci, Jinan 255049, Shandong, Peoples R China
[2] Shandong Univ Technol, sch Elect & Elect Engn, Jinan 255049, Shandong, Peoples R China
关键词
r-circulant matrix; non singularity; singularity; inverse matrix;
D O I
10.1109/CCCM.2009.5267935
中图分类号
TP39 [计算机的应用];
学科分类号
081203 ; 0835 ;
摘要
Circulant matrix is important since it is an active research field of applied mathematic and computation mathematic increasingly. R-circulant matrices have applied in numerical computation, signal processing, coding theory and oil investigation in recent years, and so on. In this paper, motivated by [1], we give some discriminations by using only the elements in the first row of the r-circulant matrix on non singularity, and give an example at last.
引用
收藏
页码:324 / +
页数:2
相关论文
共 50 条
  • [1] The Nonsingularity of FLS r-Circulant Matrices
    Zhao, Wenling
    [J]. 2009 PACIFIC-ASIA CONFERENCE ON KNOWLEDGE ENGINEERING AND SOFTWARE ENGINEERING, PROCEEDINGS, 2009, : 51 - +
  • [2] On the Improved Nonsingularity of the r-Circulant Matrices
    Liu, Xuetting
    Li, Hongkui
    Wang, Peng
    [J]. 2009 IITA INTERNATIONAL CONFERENCE ON CONTROL, AUTOMATION AND SYSTEMS ENGINEERING, PROCEEDINGS, 2009, : 279 - +
  • [3] The Nonsingularity on the Symmetric r-Circulant Matrices
    Dong, Chuandai
    [J]. PROCEEDINGS OF THE 2009 INTERNATIONAL CONFERENCE ON COMPUTER AND COMMUNICATIONS SECURITY, 2009, : 40 - +
  • [4] The Improved Nonsingularity On the r-Circulant Matrices
    Liu, Xueting
    Li, Hongkui
    Fang, Hualing
    [J]. ACC 2009: ETP/IITA WORLD CONGRESS IN APPLIED COMPUTING, COMPUTER SCIENCE, AND COMPUTER ENGINEERING, 2009, : 68 - 71
  • [5] On Nonsingularity the Symmetric r-Circulant Matrices
    Song, Daojin
    Zhao, Wenling
    [J]. 2009 SECOND INTERNATIONAL CONFERENCE ON FUTURE INFORMATION TECHNOLOGY AND MANAGEMENT ENGINEERING, FITME 2009, 2009, : 335 - +
  • [6] The Improved Nonsingularity On the r-Circulant Matrices in signal processing
    Zhao, Guangyuan
    [J]. PROCEEDINGS OF THE 2009 INTERNATIONAL CONFERENCE ON COMPUTER TECHNOLOGY AND DEVELOPMENT, VOL 2, 2009, : 564 - 567
  • [7] Chebyshev polynomials and r-circulant matrices
    Pucanovic, Zoran
    Pesovic, Marko
    [J]. APPLIED MATHEMATICS AND COMPUTATION, 2023, 437
  • [8] On the norms of circulant and r-circulant matrices with the hyperharmonic Fibonacci numbers
    Tuglu, Naim
    Kizilates, Can
    [J]. JOURNAL OF INEQUALITIES AND APPLICATIONS, 2015,
  • [9] On nonsingularity of circulant matrices
    Chen, Zhangchi
    [J]. LINEAR ALGEBRA AND ITS APPLICATIONS, 2021, 612 : 162 - 176
  • [10] On the norms of circulant and r-circulant matrices with the hyperharmonic Fibonacci numbers
    Naim Tuglu
    Can Kızılateş
    [J]. Journal of Inequalities and Applications, 2015