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
  • [1] Some properties of the generalized max Frank matrices
    Gokbas, Hasan
    AIMS MATHEMATICS, 2024, 9 (10): : 26826 - 26835
  • [2] A new generalization of the Frank matrix and its some properties
    Shi, Baijuan
    Kizilates, Can
    COMPUTATIONAL & APPLIED MATHEMATICS, 2024, 43 (01)
  • [3] Some Identities of Dual Mersenne Numbers
    Nukran, Semra Kaya
    Gurgil, Ibrahim
    COMMUNICATIONS IN MATHEMATICS AND APPLICATIONS, 2022, 13 (03): : 1129 - 1141
  • [4] On determinants of matrices with general Fibonacci numbers entries
    Karaduman, E
    APPLIED MATHEMATICS AND COMPUTATION, 2005, 167 (01) : 670 - 676
  • [5] Products of Fermat or Mersenne numbers in some sequences
    Bachabi, Mohamadou
    Togbe, Alain S.
    MATHEMATICAL COMMUNICATIONS, 2024, 29 (02) : 265 - 285
  • [6] Some properties of r-circulant matrices with k-balancing and k-Lucas balancing numbers
    Prasad, Kalika
    Mahato, Hrishikesh
    Kumari, Munesh
    BOLETIN DE LA SOCIEDAD MATEMATICA MEXICANA, 2023, 29 (02):
  • [7] ON DETERMINANTS AND PERMANENTS OF SOME TOEPLITZ-HESSENBERG MATRICES WHOSE ENTRIES ARE JACOBSTHAL NUMBERS
    Goy, T.
    EURASIAN MATHEMATICAL JOURNAL, 2018, 9 (04): : 61 - 67
  • [8] New transform using the Mersenne numbers
    Boussakta, S
    Holt, AGJ
    IEE PROCEEDINGS-VISION IMAGE AND SIGNAL PROCESSING, 1995, 142 (06): : 381 - 388
  • [9] Some Properties between Mersenne, Jacobsthal and Jacobsthal-Lucas Hybrid Numbers
    Tasci, Dursun
    Sevgi, Emre
    CHAOS SOLITONS & FRACTALS, 2021, 146
  • [10] On ideal matrices whose entries are the generalized k-Horadam numbers
    Chen, Man
    Chen, Huaifeng
    AIMS MATHEMATICS, 2025, 10 (02): : 1981 - 1997
12345