Some New Properties of Frank Matrices with Entries Mersenne Numbers

被引:0
|
作者
Prasad, Kalika [1 ]
Kumari, Munesh [1 ]
机构
[1] Govt Engn Coll Bhojpur, Dept Appl Sci & Humanities Math, Arrah 802301, Bihar, India
来源
NATIONAL ACADEMY SCIENCE LETTERS-INDIA | 2024年
关键词
Frank matrices; Mersenne numbers; Characteristics polynomials; Determinant; Norms; Spread; EIGENVALUES; FIBONACCI;
D O I
10.1007/s40009-024-01538-6
中图分类号
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号
07 ; 0710 ; 09 ;
摘要
In this work, we give some new properties of Frank matrices F[a(n)]=[a(ij)](i,j=1)(n) such that a(ij)=M-n+1-max{i,M-j} or R-n+1-max{i,R-j}, where M-n (R-n) is the nth Mersenne (Fermat) numbers. Here, we obtain some algebraic properties of these matrices such as determinants, matrix norms, characteristic polynomials, spread, etc. In support of the results, we provide numerical validations.
引用
收藏
页数:7
相关论文
共 49 条
  • [31] Exact Determinants of Some Special Circulant Matrices Involving Four Kinds of Famous Numbers
    Jiang, Xiaoyu
    Hong, Kicheon
    ABSTRACT AND APPLIED ANALYSIS, 2014,
  • [32] Tridiagonal Matrices and Spectral Properties of Some Graph Classes
    Andelic, Milica
    Du, Zhibin
    da Fonseca, Carlos M.
    Simic, Slobodan K.
    CZECHOSLOVAK MATHEMATICAL JOURNAL, 2020, 70 (04) : 1125 - 1138
  • [33] On circulant like matrices properties involving Horadam, Fibonacci, Jacobsthal and Pell numbers
    Andrade, Enide
    Carrasco-Olivera, Dante
    Manzaneda, Cristina
    LINEAR ALGEBRA AND ITS APPLICATIONS, 2021, 617 (617) : 100 - 120
  • [34] On some spectral properties of large block Laplacian random matrices
    Ding, Xue
    STATISTICS & PROBABILITY LETTERS, 2015, 99 : 61 - 69
  • [35] A survey of the progress of locating methods of complex matrices' eigenvalues and some new location theorem and their applications
    Wu, Junliang
    Zhao, Jianguo
    IMA JOURNAL OF APPLIED MATHEMATICS, 2015, 80 (04) : 1273 - 1285
  • [36] Some new upper bounds for moduli of eigenvalues of iterative matrices
    He, Jun
    Liu, Yanmin
    Xu, Guangjun
    SCIENCEASIA, 2021, 47 (06): : 773 - 778
  • [37] Some new inequalities on spectral radius for the Hadamard product of nonnegative matrices
    Xu, Yangyang
    Shao, Licai
    Dong, Tiantian
    He, Guinan
    Chen, Zimo
    JAPAN JOURNAL OF INDUSTRIAL AND APPLIED MATHEMATICS, 2025, : 727 - 749
  • [38] NEW THEOREM ON SYMMETRIC FUNCTIONS AND THEIR APPLICATIONS ON SOME (p,q)-NUMBERS
    Saba, N.
    Boussayoud, A.
    JOURNAL OF APPLIED MATHEMATICS & INFORMATICS, 2022, 40 (1-2): : 243 - 257
  • [39] NEW FAMILIES OF INTEGER MATRICES WHOSE LEADING PRINCIPAL MINORS FORM SOME WELL-KNOWN SEQUENCES
    Moghaddamfar, Ali Reza
    Moghaddamfar, Kambiz
    Tajbakhsh, Hadiseh
    ELECTRONIC JOURNAL OF LINEAR ALGEBRA, 2011, 22 : 598 - 619
  • [40] Some new two-sided bounds for determinants of diagonally dominant matrices
    Li, Wen
    Chen, Yanmei
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2012, : 1 - 9