The spectral norm and spread of g-circulant matrices involving generalized Tribonacci numbers | Zendy

Shouqiang Shen | Zendy; Weijun Liu | Zendy; Lihua Feng | Zendy

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The 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).

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