On the Norms and Eigenvalues of \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$r$$\end{document}-Circulant Matrices with \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$k$$\end{document}-Mersenne and \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$k$$\end{document}-Mersenne–Lucas Numbers

被引:0
作者
Munesh Kumari
Kalika Prasad
Engin Özkan
Jagmohan Tanti
机构
[1] Central University of Jharkhand,
[2] Erzincan Binali Yıldırım University,undefined
[3] Babasaheb Bhimrao Ambedkar University,undefined
关键词
-Mersenne number; -Mersenne–Lucas number; -circulant matrix; eigenvalue; Euclidean norm; spectral norm;
D O I
10.1134/S0001434623090225
中图分类号
学科分类号
摘要
引用
收藏
页码:522 / 535
页数:13
相关论文
共 60 条
[1]  
Horadam A. F. (1965)Basic properties of a certain generalized sequence of numbers Fibonacci Quart. 3 161-176
[2]  
Prasad K.(2022)Cryptography using generalized Fibonacci matrices with Affine–Hill cipher J. Discrete Math. Sci. Cryptogr. 25 2341-2352
[3]  
Mahato H.(2021)New recurrences on Pell numbers, Pell–Lucas numbers, Jacobsthal numbers, and Jacobsthal–Lucas numbers Chaos Solitons Fractals 150 111173-908
[4]  
Çelik S.(2020)A new families of Gauss k-Jacobsthal numbers and Gauss k-Jacobsthal–Lucas numbers and their polynomials J. Sci. Arts 20 893-277 973.
[5]  
Durukan İ.(0000)The Jacobi–Perron algorithm and the algebra of recursive sequences Bull. Aust. Math. Soc. 8 261-331
[6]  
Özkan E.(2003)An application of Fibonacci sequences in groups Appl. Math. Comput. 136 323-53
[7]  
Özkan E.(2016)On the Mersenne sequence Ann. Math. Inform. 46 37-139
[8]  
Taştan M.(2021)Mersenne Lucas numbers and complete homogeneous symmetric functions J. Math. Comput. Sci. 24 127-423
[9]  
Shannon A.(2017)Some identities of k-Mersenne numbers Adv. Appl. Discrete Math. 18 413-108
[10]  
Bernstein L.(2021)A study on generalized Mersenne numbers Journal of Progressive Research in Mathematics 18 90-13