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

页数：7

共 50 条

[21] EVALUATING SOME DETERMINANTS OF MATRICES WITH RECURSIVE ENTRIES
Moghaddamfar, Ali Reza
Salehy, Seyyed Navid
Salehy, Seyyed Nima
BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY, 2009, 46 (02) : 331 - 346
[22] Some counting questions for matrices with restricted entries
Shparlinski, I. E.
LINEAR ALGEBRA AND ITS APPLICATIONS, 2010, 432 (01) : 155 - 160
[23] New spaces of matrices with operator entries
Blasco, Oscar
Garcia-Bayona, Ismael
QUAESTIONES MATHEMATICAE, 2020, 43 (5-6) : 651 - 674
[24] On ideal matrices whose entries are the generalized k-Horadam numbers
Chen, Man
Chen, Huaifeng
AIMS MATHEMATICS, 2025, 10 (02): : 1981 - 1997
[25] Some new properties of octonionic matrices
Bektas, Ozcan
Yuce, Salim
SIGMA JOURNAL OF ENGINEERING AND NATURAL SCIENCES-SIGMA MUHENDISLIK VE FEN BILIMLERI DERGISI, 2023, 41 (04): : 848 - 857
[26] Some algorithms related to matrices with entries in a finite field
Freyre, P.
Diaz, N.
Morgado, E. R.
JOURNAL OF DISCRETE MATHEMATICAL SCIENCES & CRYPTOGRAPHY, 2009, 12 (05): : 509 - 519
[27] SOME NEW BOUNDS ON CONDITION NUMBERS OF OPTIMALLY SCALED MATRICES
FENNER, TI
LOIZOU, G
JOURNAL OF THE ACM, 1974, 21 (03) : 514 - 524
[28] On the spectral norms of circulant matrices with classical Fibonacci and Lucas numbers entries
Ipek, Ahmet
APPLIED MATHEMATICS AND COMPUTATION, 2011, 217 (12) : 6011 - 6012
[29] Determinant Formulas of Some Hessenberg Matrices with Jacobsthal Entries
Goy, Taras
Shattuck, Mark
APPLICATIONS AND APPLIED MATHEMATICS-AN INTERNATIONAL JOURNAL, 2021, 16 (01): : 191 - 213
[30] Some probabilities for eigenvalues of matrices with entries in finite fields
Gerth, F
DISCRETE MATHEMATICS, 1996, 154 (1-3) : 269 - 275

← 1 2 3 4 5 →