Open AccessThe spectral norm and spread of g-circulant matrices involving generalized Tribonacci numbers
Author(s) -
Shouqiang Shen,
Weijun Liu,
Lihua Feng
Publication year - 2021
Publication title -
filomat
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 34
eISSN - 2406-0933
pISSN - 0354-5180
DOI - 10.2298/fil2115271s
Subject(s) - circulant matrix , mathematics , combinatorics , norm (philosophy) , matrix (chemical analysis) , matrix norm , discrete mathematics , pure mathematics , eigenvalues and eigenvectors , physics , materials science , quantum mechanics , political science , law , composite material
In this paper, we consider a g-circulant matrixA 1(T), whose the first row entries are generalized Tribonacci numbers T(a)i. We give an explicit formula of the spectral norm of this matrix. When g = 1, we also present upper and lower bounds for the spread of the 1-circulant matrix A1(T).